John Monterosso · George Ainslie
Beyond discounting:possible experimental models of impulse control
Received: 17 March 1999 / Final version: 6 June 1999
Abstract Animal studies of impulsivity have typically
core of most if not all conceptions, though, is the notion
used one of three models: a delay of reward procedure, a
of irrationality. In the animal literature, this irrationality
differential reinforcement for low rate responding (DRL)
manifests as failure to maximize overall reward. In hu-
procedure, or an autoshaping procedure. In each of these
man research, it is the individual’s failure to follow her
paradigms, we argue, measurement of impulsivity is im-
own recognized best interest. The word “recognized” is
plicitly or explicitly equated with the effect delay has on
important; choices that a person consistently regards as
the value of reward. The steepness by which delay di-
desirable but which observers regard as maladaptive be-
minishes value (the temporal discount function) is treat-
long to a distinct category, for which we will not be us-
ed as an index of impulsivity. In order to provide a better
analog of human impulsivity, this model needs to be ex-
On this view, the study of impulsivity is a particularly
panded to include the converse of impulsivity – self-con-
challenging frontier for psychopharmacology. Under-
trol. Through mechanisms such as committing to long
standing counterproductive behavior is straightforward
range interests before the onset of temptation, or through
when the culprit is misinformation. However, the thorny
bundling individual choices into classes of choices that
fact is that we repeatedly and wittingly subvert our own
are made at once, human decision-making can often look
recognized long-term best interests. This utterly central
far less myopic than single trial experiments predict. For
aspect of the human condition defies conventional utility
people, impulsive behavior may be more often the result
theory that attributes an ultimate rationality to all behav-
of the breakdown of self-control mechanisms than of
ior. As typically defined, the construct of “impulsivity”
steep discount functions. Existing animal models of self-
is an acknowledgment of at least a subset of systematic
control are discussed, and future directions are suggested
Given the diversity of behaviors most often talked
about in the context of impulsivity (including violence,
Key words Hyperbolic discounting · Impulsivity ·
gambling, credit card binges, sexual behavior, substance
Self-control · Reward bundling · Psychopharmacology
abuse, and self-injurious behaviors), the phenomenoncannot be understood as a product of a single appetite ora particular consumed substance. Instead, impulsive be-
havior must be related to the pattern of rewards availablefor certain behaviors. Even at the level of physiology,
“Impulsivity” has been an imprecise construct in the
non-substance related addictive behaviors like gambling
clinical literature. Dozens of scales, sub-scales, and be-
have been shown to look remarkably like substance-di-
havioral measures have been created to measure impulsi-
rected addictive behaviors (Wray 1981; Griffiths 1993;
vity, and the modest intercorrelations of many of these
Comings et al. 1996; 1997). There is reason to believe
measures suggests different underlying conceptions of
that impulsiveness arises from the properties that re-
the construct (Corulla 1987; Parker et al. 1993). At the
1 Dickman’s typology of impulsivity distinguishes between “dys-
functional impulsivity” and “functional impulsivity” (which he de-
Department of Psychiatry, Coatesville VA Medical Center,
fines as acting with little forethought when doing so is beneficial).
While this explicitly allows for impulsivity to be rational, Dick-
e-mail: [email protected]
man points out that 1) most work in the field focuses on dysfunc-tional impulsivity, and 2) that the two types of impulsivity are not
highly correlated (Dickman 1990). As such, the inconsistency be-
Department of Psychiatry, University of Pennsylvania,
tween “dysfunctional impulsivity” and the conception of impulsiv-
3900 Chestnut Street, Philadelphia, PA 19104, USA
ity we are following lies mainly at the level of labeling
equal increments of delay produce progressively less ad-ditional discounting. Among other consequences, hyper-bolic discounting predicts the motivational inconsistencyover time that characterizes impulsive behavior. The rel-ative value of two alternatives available at fixed timescan switch, based solely on the addition or subtraction ofan equal delay to both alternatives. For example, withthe passage of time, the delay to fixed alternatives de-creases by an equal amount. Given the form of the dis-count function, an alternative that was inferior from adistance may become preferred when its availability be-comes immediate (Fig. 1b). Thus hyperbolic discountingleads to regular and systematic inconsistencies in prefer-ences.
Particularly in the animal literature on the psycho-
pharmacology of impulsivity, the concept of hyperbolicdiscounting has been widely used to model impulsivechoice and track its pharmacological manipulation. In
Fig. 1 a Exponential discount curves from two rewards of differ-
this article, we have three goals. First we will compare
ent sizes available at different times. There is no delay at which
paradigms in the animal psychopharmacological litera-
preference switches. b Hyperbolic discount curves from two re-
ture on impulsive choice which do and do not use a tem-
wards of different sizes available at different times. The smaller
poral discounting framework. In doing so, we will argue
reward is more valued just in the period when its availability isrelatively immediate
that those that do not can and should be readily incorpo-rated into such a framework. Second, we attempt tobroaden the model by showing how, in addition to pro-
wards behavior generally (Mazur et al. 1987; Shizgal
ducing impulsivity, hyperbolic discounting can give rise
to mechanisms of self-control. And third, with each
It has long been observed that the basic machinery of
mechanism we discuss animal models of self-control,
motivation favors more immediate reward. An organism,
and we suggest related directions for psychopharmaco-
be it person or pigeon, will engage more readily in a be-
havior which immediately brings a positive outcomethan one in which the same outcome occurs after a peri-od of delay. The function relating the length of delay to
the diminution in the motivating force of the reward isthe temporal discount function. Some possible temporal
In the animal laboratory, studies of the impact of psycho-
discount functions are inconsistent with impulsivity. Ex-
pharmacological interventions on impulsivity have vari-
ponential temporal discount functions (discounting by a
ously used either a delay of reward paradigm (Charrier
fixed proportion per period of time) do not predict im-
and Thiebot 1996; Evenden and Ryan 1996; Poulos et al.
pulsive choice, regardless of how steep they are. An ex-
1998; Tomie et al. 1998a), a DRL paradigm (Evenden
ponential discounter’s temporal distance to a fixed set of
1998b; McMillen et al. 1998), or an autoshaping para-
alternatives will not affect the order of preference among
digm (Poling and Appel 1979; Picker et al. 1986; Tomie
those alternatives. The situation is like that of a set of
savings bonds with different maturity dates and differentdenominations. Though both maturity dates and denomi-nation will affect the current value of all the bonds, the
relative value of the bonds will not change. The bondthat has the greatest value at time T is certain to continue
The delay of reward procedure is explicitly grounded in
to have the greatest value at time T+X. For the same rea-
the temporal discounting conception of impulsivity. In
son, if delay attenuates rewards by a fixed exponent, the
this procedure, the organism chooses between two re-
reward that is most valued at delay T will also be the
wards – one larger but more delayed, the other smaller
most valued at delay T+X (Fig. 1a). Temporal discount-
but more immediate. Impulsivity in the procedure is
ing at a fixed exponential rate, therefore, predicts stable
equated with the animal’s tendency to choose the more
immediate of the alternatives and in so doing, decrease
However, empirical research using a variety of organ-
the reward he receives. In an especially useful version of
isms and a range of procedures has consistently found
this, called the delay adjusting procedure (Mazur 1987),
that temporal discount functions are not exponential, but
the delay associated with the larger reward is changed
rather hyperbolic (Ainslie 1975; Green et al. 1994; Har-
within session to determine the exact amount of delay
vey 1994; Kirby and Herrnstein 1995; Richards 1997).
necessary to make the larger alternative equally pre-
Discounting is steeper at short delays, and additional
ferred to the more immediate alternative which remains
fixed. If the animal repeatedly chooses the larger reward,
only go unrewarded, but reset the expired time to zero,
the delay to the larger reward is increased; if the animal
often after a salient brief time-out interval. Impulsivity
repeatedly chooses the smaller more immediate reward,
here is equated to the extent to which an organism be-
the delay to the larger reward is decreased. When a crite-
haves prematurely, undermining its own attainment of
rion of stability is reached such that neither choice is
reward. In recent times this procedure has also gone by a
clearly preferred, the parameters of the fixed and adjust-
more descriptive name – “interresponse time greater than
ing alternatives reveal an indifference point that indi-
t” or “IRT>t” for short. One important variant on the
cates an equality between an additional delay and an ad-
procedure called the fixed consecutive number procedure
ditional quantity of reward. From an array of indiffer-
(FCN) minimizes the confound between impulsive per-
ence points, the temporal discount function of the organ-
formance and general level of motor activity. In the FCN
procedure, the animal has to make a required string of al-
The resulting function represents a radical departure
ternative operants (for instance pecking a green key)
from the exponential curve of conventional utility theory.
rather than wait out an interval before making the rele-
The following simple hyperbolic function has generally
vant operant (for instance pecking a red key). As in the
provided a reasonably good fit to the data over a range of
DRL procedure, performing the operant associated with
reward before satisfying the FCN criterion resets thecounter and is not rewarded (Mechner and Latranyi
where V equals the value of the delayed reward, V
equals the value of the reward if immediate, D equals the
delay, and K equals a scaling constant which can be usedas an index of discounting, and by extension, as an index
A third type of procedure sometimes used in the animal
of impulsivity. With data from human choices, this for-
literature on impulsivity is autoshaping. Autoshaped be-
mula holds for time scales ranging from seconds to years
haviors are those that organisms spontaneously engage
(Solnick et al. 1980; Harvey 1994; Kirby and Herrnstein
in without obvious reinforcement. For example, if a key-
1995). Importantly, while the form is consistently hyper-
light signals the impending arrival of food, a pigeon will
bolic, the steepness of the discounting (the parameter k)
come to peck at the key-light, even though doing so does
varies enormously in human studies of choice. Most no-
not affect the arrival of food. The robustness of this
tably, the parameter k can be smaller by orders of magni-
seemingly unrewarded behavior is evident from a variant
tude in human choice experiments with money as the re-
on the procedure called negative automaintenance. In a
ward (Ainslie and Haendel 1983; Green et al. 1994) as
negative automaintenance procedure, the autoshaped be-
compared to when a primary reward is used such as the
havior is punished by canceling the arrival of reward
elimination of an aversive sound (Solnick et al. 1980;
(Williams and Williams 1969). While autoshaped behav-
Navarick 1982). As we will argue below, the sophisticat-
iors are diminished in the negative automaintenance pro-
ed strategies of self-control employed by humans can
cedure, they are usually not eliminated entirely
dramatically alter their observed discount functions.
(Schwartz and Williams 1972). The extent of autoshaped
Presumably because of practical limitations many
responding has been taken as a measure of impulsivity
pharmacological studies have not used Mazur’s delay ad-
(Tomie et al. 1998a, 1998b). Given the common view of
justing procedure which derives indifference points. In-
autoshaped behaviors as classically conditioned (elicit-
stead, choice alternatives are presented and the propor-
ed) responses rather than as operant (emitted) behaviors,
tion of times the smaller more immediate alternative is
this may seem a strange procedure to use for modeling
chosen (over varying delays) is taken as an index of dis-
impulsivity. However, autoshaped behaviors have also
counting (Evenden and Ryan 1996; Poulos et al. 1998;
been argued to be completely operants (Dougan et al.
Tomie et al. 1998a). Although there are difficulties with
1983), or combinations of operant responses and Pavlov-
the interpretation of these data, the underlying logic is
ian responses(Schwartz et al. 1974).
unchanged. In these choice procedures, impulsivity isoperationalized as the extent to which an organism willtrade reward magnitude for reward immediacy.
On the surface, delay of reward procedures seem to re-
flect one concept of impulsivity, and DRL and autoshap-ing procedures seem to reflect another concept of impu-
The second class of procedure used to measure impulsi-
lsivity. As Ho et al. succintly put it, “Research in the ex-
vity in the animal psychopharmacology literature is
perimental analysis of behaviour suggests that two im-
called DRL, “differential reinforcement of low rate re-
portant characteristics of “impulsiveness” are i) deficient
sponding”. In this procedure an operant response is re-
tolerance to delay of gratification [a steep temporal dis-
warded only if it occurs after a fixed interval of time has
count rate] and ii) inability to inhibit or delay voluntary
expired since the last response. Premature responses not
behavior [poor inhibitory control];” (Ho et al. 1998, p.
68). Delay of reward procedures seem well suited to tap
However, we almost certainly make a mistake if we
the temporal discount rate version of impulsivity, and
assume that all or even most of what rewards an organ-
DRL and autoshaping procedures (particularly the nega-
ism’s choice is observable. A person singing while in a
tive automaintenance variant) seem better suited to tap
state of joy may have no possibility of any externally ob-
the inhibitory control version of impulsivity. However,
servable reward. And yet the operant (reward driven) na-
on closer scrutiny, both DRL and autoshaping proce-
ture of that behavior is evident from the fact that its val-
dures lend themselves to a tolerance to delay interpreta-
ue is in competition with the value of observable re-
tion in which poor performance amounts to the choice of
wards. The offer of money to refrain from singing, for
a smaller but more immediate alternative. As such, the
instance, might be persuasive. Of course, if the sum of
first of the two above characteristics alone (temporal dis-
money was sufficiently modest, or the joy sufficiently in-
count rate) is sufficient to characterize impulsivity as it
tense, the observable reward could lose to the unobserv-
has been measured in the animal psychopharmacology
able reward of singing. In the same way, pecking may be
intrinsically rewarding for a pigeon that is anticipating
In order to view poor performance on a DRL schedule
food. The extension of this argument is an argument
as reflective of a steep underlying discount function, it is
against two-factor theory generally. For the complete
necessary to view premature responses as the choice of a
form, see Ainslie (1992 , pp. 102–122), Ainslie (1999)
smaller more immediate reward over a later larger one.
and John Donahoe’s work suggesting a “Unified Rein-
This requires only the reasonable assumption that imper-
forcement Principle” (Donahoe et al. 1993; Donahoe and
fect time sense makes the organism’s estimate of reward
Palmer 1994). This operant interpretation of autoshaping
vary as a function of delay. At the eighth second of a
is consistent with the fact that the frequency and duration
DRL10 trial, the organism may have what amounts to,
of the autoshaped response in negative maintenance pro-
say, a 50% expectancy of reward given an operant at that
cedures is greatly diminished, sometimes to the point of
moment. Making the simplifying assumption of norma-
extinction (Woodruff and Williams 1976). Automainte-
tive expected value, the reward availability for engaging
nance behaviors can be understood as the choice of an
in the operant after 8 s would in effect be 0.5 times the
immediate but possibly relatively small reward (the val-
value of the reward when its availability is certain. The
ue of pecking when expecting food), over a more distant
organism in effect has a choice after 8 s between an im-
but larger reward (actual access to food). As such,
mediate 0.5*V, and a continuous range of later larger al-
changes in the frequency of these behaviors may reflect
ternatives, such as, perhaps, 0.8*V after 2 more seconds,
changes in the temporal discount function of the organ-
and 1.0*V a few seconds after that. A premature re-
sponse amounts to choosing a smaller-sooner expected
It is less clear to us whether autoshaping outside the
value over a later-larger expected value. As such DRL
negative automaintenance procedure can be reasonably
procedures do not necessitate the positing of any alterna-
taken as impulsivity as operationalized here. Since there
tive or addition to the temporal discounting conception
is no apparent cost to the behavior, it is not clear that the
of impulsivity. This explanation does not account well
animal engaging in autoshaped behaviors is trading off
for the burst responses often seen at the onset of DRL
potential reward for immediacy. If “irrationality” is at
trials. However, at such time, when sunk cost is low, re-
the core of the concept being modeled, as we think it
sponses may be more like autoshaped responses (see be-
should be, then it is probably preferable to use proce-
low). On this view, prevalence of onset burst responding
dures in which the presumed impulsive behavior has a
in particular ought to be inversely related to the inter-tri-
more obvious cost. It is nevertheless interesting that indi-
al interval (ITI), since a long ITI will add to the animal’s
vidual differences in rats’ sensitivity to delay on a delay
of reward procedure were shown to be correlated with
The case of autoshaping requires further explanation,
individual differences in the quantity of autoshaped be-
but we believe it also can be incorporated into the dis-
haviors performed (Tomie et al. 1998a).
counting framework, at least in the negative automainte-
Temporal discount rate seems to be the key underly-
nance variant. Again, the temporal discount rate concep-
ing property in procedures used to model impulsivity.
tion of impulsivity requires viewing impulsivity as the
We believe that the delay of reward procedure is the best
choice of a smaller more immediate reward over a later
alternative as an animal model, since it alone allows the
larger alternative. Given a narrow definition of reward,
discount rate parameter k to be directly estimated. The
autoshaped behavior has no measurable reward (and in
parameter k can serve as an index of impulsivity, thereby
the case of negative automaintenance, it has a measurable
allowing impulsivity to be quantified in absolute terms
reward cost). As such, automaintenance behaviors have
rather than having to be satisfied with relative compari-
typically been treated as principally Pavlovian (elicited
by the pairing with an unconditioned stimulus) ratherthan instrumental (emitted based on contingency of rein-forcement). On a Pavlovian account, autoshaped behav-
iors and negative automaintenance behaviors could there-fore not be viewed as the choice of a smaller more imme-
Most of the interest in pharmacological manipulations of
diate reward since they are not choice behaviors at all.
rats’ impulsive behavior is based on the hope that the an-
imal can serve as a useful model of human impulsivity.
The act of employing a mechanism to precommit
However, humans are capable of feats of self-control that
against a future temptation may seem a sophisticated and
look qualitatively different from the spontaneous behav-
exclusively human behavior. However, even pigeons
ior of rats. For instance, people often make financial de-
sometimes precommit against a predictable preference
cisions that are consistent with very low, exponential dis-
reversal. One can easily establish parameters in a choice
count rates (Logue et al. 1986, 1993).
experiment in which pigeons will regularly peck a key
Since people and less cognitively sophisticated ani-
that brings a smaller-sooner reward rather than wait for a
mals do not differ in the hyperbolic form of their dis-
later-larger reward. However, if given the option, some
count curves, but differ greatly in their capacity for self-
pigeons will learn to peck a key ahead of time which re-
control, failures of this capacity are apt to come from a
sults in the removal of the smaller-sooner option from
phenomenon not being measured in present psychophar-
the choice set that will follow (Rachlin and Green 1972;
macology experiments. If we hope to manage impulsi-
Ainslie 1974). Thus a pigeon will make a binding pre-
vity pharmacologically in people, then it makes sense to
commitment to secure its current preference. It may be
consider not just how hyperbolic discounting can pro-
worth exploring whether some drugs increase or de-
duce impulsive choice, but also how normal adults man-
crease the animal’s learning of this response, quite apart
age to behave in farsighted ways. A person who is more
from whether they change the impulsiveness that moti-
impulsive than other people may not have a steeper un-
derlying discount function, but instead may be impairedin whatever makes human choice farsighted. While sur-veys have often shown a general correlation between
self-reported discount rates and impulsive behaviors, themost striking clinical observation is that individuals are
Another method by which current preferences can guard
markedly impulsive for a limited range of activities and
against future changes of preference is by the control of
for limited periods in their lives. Pharmacological inter-
attention. Someone struggling to maintain fidelity to a
ventions may affect mechanisms of self-control in addi-
spouse may not allow themselves to notice the flirtations
tion to underlying discount functions.
of an attractive third party. Attending to such informa-
A number of mechanisms of self-control are predicted
tion may foreseeably lead to the likelihood of creating
by hyperbolic discounting. Since a person’s preference
preferences in opposition to current preferences. Atten-
among a fixed set of alternatives can vary predictably as
tional control can occur as either deliberate avoidance of
a function of the passage of time, it follows that one of
information or an avoidance that is itself not acknowl-
the obstacles they may face in trying to attain her current
edged. The latter case is the repression that Freud at one
preferences is the expected preferences of their future
time held to be the cornerstone of all defensive processes
selves. The dieter who has just finished bingeing has
(Freud 1956). The repressive individual avoids unwanted
both a current clear preference for moderate consump-
thoughts, feelings or behaviors by not attending to the
tion in the future, and an equally clear expectation that
psychically loaded information. Aside from the distor-
their own future self may pose a threat to this current
tions that Freud noted, its disadvantage is a loss of infor-
preference. In order to secure what they currently want,
mation that may be needed for other decisions.
it may be necessary for the person to find a way to pre-
A simplified animal model of impulse-control
commit their future choices. They may, for example, pre-
through manipulation of attention may be suggested by a
commit their future self to abstaining from savory snacks
recent experiment by Siegel and Rachlin (1995). In the
by ridding the kitchen of all such foods. Several distin-
experiment, pigeons were first exposed to an FR1 sched-
guishable methods of precommitment have been identi-
ule with two reward alternatives in which the smaller
more immediate reward was reliably chosen. Next, thereinforcement schedule was altered to an FR31 schedulewhich first required the pigeon to peck either of the two
keys 30 times, after which he could then peck either keyand attain the associated reward. In this schedule, the
The most direct method of precommitment is to arrange
key chosen on the first 30 responses had no effect on re-
for some external control or influence – taking Antabuse,
inforcement possibilities; the 31st peck alone determined
checking in to a “fat-farm”, setting up a binding contract,
which reward the pigeon received. In accordance with
or cultivating friends with particular expectations all can
hyperbolic discounting, the larger more delayed reward
serve this role. The alcoholic who currently prefers not
was more valued from a distance. As such, it is not sur-
to get drunk later, but who doubts they will still feel that
prising that pigeons more often pecked the key associat-
way when “later” arrives may stack the deck in favor of
ed with the larger reward during the first 30 responses.
their current preference by taking Antabuse and adding
Importantly, more often than not the pigeons went on to
the cost of nausea to a future self’s decision to drink.
peck the key associated with the larger more delayed re-
The problem with extrapsychic devices is that they also
ward even on the 31st trial which presented the exact
reduce desirable flexibility, and may create a wasteful
same options as in the FR-1 condition. Though some-
motive to try to evade or undo them.
what diminished, this shift away from impulsivity was
still present when a one-second timeout signaled the on-set of the 31st trial. This phenomenon, which the authorslabeled “soft commitment”(Siegel and Rachlin 1995),may work by fixing the pigeon’s attention on the alterna-tive that is preferred at the start of a trial. On this ac-count, enhanced performance is the result of a failure toshift attention to the alternative option. The interactionbetween “attentional set-shifting” (Owen et al. 1991) andimpulsivity is of particular interest given the growing
Fig. 2 Summed hyperbolic discount functions for six pairs of re- wards. As the number of future rewards being summed increases,
body of research reporting pharmacological manipula-
the region of impulsive preference reversal is diminished
tions that diminish attentional set-shifting performance(Coull et al. 1995) and manipulations that enhance atten-tional set-shifting performance (Roberts et al., 1994).
made far in advance. If a current choice is “bundled”
Pharmacotherapies that diminish attentional set-shifting
with series of like future choices, and made at once,
may increase the effectiveness of attentional manipula-
preference can be made less impulsive. Consider a
tion as a mechanism of self-control since attention is
smoker interested in quitting. Suppose that, for whatever
reason, the smoker believed that his choice of whether tolight up after breakfast would be a binding determinantof all future smoking choices; if he lit up he would con-
tinue smoking at the current rate for the rest of his life,but if he did not he would never smoke again. Presum-
Emotions such as fear, jealousy, and arousal can, to a
ably the aspiring former smoker in this situation would
point be vicious circles. After the emotion has gotten un-
be more likely to refrain from smoking that one ciga-
derway, there is a lower threshold for further emotional
activity of the same kind, until some satiation point is
Such a decrease in impulsiveness when future choices
reached (Skinner 1953, pp. 235–236, 239–240). If a per-
are grouped with current choices is predicted by hyper-
son expects an emotion to make currently unpreferred re-
bolic discounting. A single immediate reward that is
ward dominant, he may commit himself not to choose
more compelling than a larger but delayed alternative
the reward through early inhibition of that emotion.
can be made relatively less compelling if both alterna-
There have been some experimental demonstrations of
tives are summed over a series of identical future choic-
emotional control. For instance, Walter Mischel and col-
es. The cigarette right now may be more valued than the
leagues found that while children below around 6 years
expected beneficial consequences of abstaining from that
were poor at self-control, many older children were often
cigarette, but each delayed cigarette may be less valued
able to resist the temptation of an immediately available
than the expected consequences of abstaining. If some-
marshmallow in favor of a more preferred reward. Those
one could bundle a series of these future cigarettes with
that succeeded in avoiding the impulsive preference re-
the current cigarette she could tip the balance away from
versal often used emotional control in the form of think-
ing about the immediately available marshmallow in a
Hyperbolic discounting further predicts just such a
“cool” way, or by imagining it to be undesirable (Mis-
possibility: A person’s successive motivational states
chel and Moore 1980; Mischel and Mischel 1983). Emo-
will be in a relationship of limited warfare with each oth-
tion-forestalling devices tend to distort rather than nor-
er (Schelling 1960), sharing some goals, but at times in
malize motivation, and may make people emotionally
conflict over ones imminent when she makes each
unresponsive, as in alexithymia (Nemiah 1977). At the
choice. This kind of conflict is stabilized by the percep-
moment, there seems to be no way to analyze them using
tion that it is a variety of repeated prisoner’s dilemma
where the impulsive choice represents defection. The on-ly way the present self can expect most future ones tocooperate is to make each choice a test case, so that cur-
rent cooperation motivates future agents to preserve thechain of cooperation, and current defection destroys this
The above mechanisms of self-control do not seem to
future incentive. By seeing current choices as precedents
match what people mean by “will-power”; they seem too
for similar choices in the future, a person does arrange to
mechanical. As William James (1890, p. 534) said, will-
choose between a whole series at once (Ainslie 1975,
power seems to occur “with both alternatives steadily
held in view.” Hyperbolic discounting provides a mecha-
Although choice bundling has the advantage of not
nism for just such a method of self-control. Because the
directly limiting freedom or information, it is far from a
diminution of value is great with the addition of initial
flawless solution to the problem of impulsivity. For one
delay, but small with the addition of the same delay to an
thing, it is precarious because it creates a motive for ra-
already far delayed alternative, it follows that the choice
tionalization. The person faced with the possibility of
between alternatives will tend not to be impulsive if
immediate reward has a constantly present motivation to
view the choice as singular. The prospect of (the imme-
with rigidities like “compulsive saving”, possibly be-
diate impulsive choice+an expectation of abstaining in
cause the latter has lacked a distinct recognized cause.
the future), if credible, is better than either universal im-
However, the two are rather more like opposites. As
pulsive choice or universal abstinence. One consequence
Howard Rachlin put it, “The workaholic is less like the
of this is the creation of a market for finding a reason
alcoholic than he is like the teetotaler. The workaholic’s
that makes the current choice exceptional. As William
so-called addiction to work is really the compulsive
avoidance of a narrow choice between work and leisure,a choice that by definition will always be resolved (if it
How many excuses does the drunkard find when each
is framed narrowly enough) in favor of leisure” (Rachlin
new temptation comes! It is a new brand of liquor which
the interests of intellectual culture in such matters oblige
The need for choice bundling suggests a second route
him to test; moreover it is poured out and it is a sin to
to impulsivity, in addition to the steepness of the dis-
waste it; or others are drinking and it would be churlish-
count function. Impulsive behavior can occur because of
ness to refuse. or it is Christmas day; or it is a means of
the absence or breakdown of this rather brittle strategy.
stimulating him to make a more powerful resolution in
The underlying discount function might also interact
favor of abstinence than he has hitherto made; or it is
with mechanisms of self-control. For instance, given a
just this once, and once does not count, etc., etc., ad lib-
constant level of precommitment or choice-bundling
itum – it is, in fact, anything you like except being a
across a set of individuals, it might still be the case that
the individuals with the steeper underlying discount
Even when choices are bundled together successfully,
function will be more likely to exhibit breakdowns of
the cure can be worse than the disease. Grouping choices
self-control, and exhibit impulsivity. However, at the
increases the incentive against impulsivity, but in so do-
same time, the individual with the steeper discount func-
ing, it also increases the costs of a single failure to resist
tion might also have a built-in motivation to precommit
temptation. Consistent with this, it has been demonstrat-
to non-impulsive behavior sooner, and also to employ
ed that among individuals who construct self-control
more rigid rules for self-control. Unusually disciplined
rules which strictly group all members of a category (i.e.
behavior might in some cases be the product of compen-
“I must never eat any sweets again”), lapses are less fre-
sation for steep underlying discounting.
quent, but more likely to turn into binge lapses of impul-
Of the two elements of choice-bundling (summation
sive choice when they do occur. Interestingly, AA and
of serial rewards and perception of current choices as
other 12 step programs may have found a way to deal
test cases) only the former has been shown in animals.
with some of the tension between the benefits and costs
Mazur showed that the value to pigeons of at least a
of choice grouping. By promoting the conception that
small series of rewards was equal to the sum of the value
the addict is helpless to have just one drink, the grouping
of each reward individually (Mazur 1986). Thus it
implied is that one choice to drink will necessitate a
should follow that impulsivity is diminished in a delay of
whole binge of drinks. However, AA attempts to mini-
reward procedure in which single choices determines a
mize the consequences of failure by advising resolutions
series of rewards rather than a single presentation of the
for only “one day at a time” (Marlatt and Gordon 1980;
chosen reward. If experimental paradigms are created
which can robustly demonstrate reductions in impulsi-
Another danger of choice bundling is that by valuing
vity based on reward summation, we may have an ani-
choices as precedents more than as events in themselves,
mal model of one element in a more sophisticated self-
choice-bundling can put the individual at risk for becom-
control mechanism. Psychopharmacological research can
ing rigid and legalistic. Obsessive-compulsive personali-
then look at how reward-summation responds to various
ty disorder (OCPD) and related everyday phenomena
manipulations. Those that facilitate summation in animal
like workaholism can be viewed as pitfalls of extreme
models should reduce impulsivity and those that under-
choice bundling. For example, a patient with OCPD may
mine summation should increase impulsivity. We know
not use too large a postage stamp even once for fear that
of no work that has looked at pharmacological impact on
she will become a spendthrift. Furthermore, fear of laps-
the summation of serial rewards, an issue that is highly
es creates a motive to adopt highly explicit rules for one-
relevant to the study of self-control.
self in preference to subtler ones that may be more richly
Thus far, the animal models of impulsivity used in
pharmacological research have relied directly on phe-
The inadequacy of bundling as a route to true ratio-
nomena that depend on hyperbolic discount functions.
nality creates a second kind of maladaptive choice,
While we think this is the critical foundational element
which has only partially been differentiated from impul-
of impulsivity, animal models should be elaborated to in-
siveness in the literature of motivational science. While
clude the converse of impulsivity – self-control. Rela-
psychotherapists from Freud onward have recognized
tively impulsive behavior in humans may be more a
problems from “punitive superegos”, “cognitive maps”,
function of the extent to which mechanisms of self-con-
“overgeneralization” etc. as distinct from spontaneous
trol are employed than the steepness of the individual’s
over-valuation of the immediate, our language still
underlying discount function. Mechanisms of self-con-
lumps together impulses like “compulsive spending”
trol grow directly out of hyperbolic discounting, and in
many cases can be modeled in animals. We think choice-
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The Phantom Picture (Fantombildet) Aleksander Bergan 2013, H. Aschehoug & Co. (W. Nygaard) Prologue Tick tock, tick tock. You’re lying there in the darkness, feeling wide awake. You might as well get up and do the dishes, clean the house, or take out the garbage. You could watch repeats on Discovery Channel or read a book. Yet, you know you have to sleep. 7 hours a day, 36