Behavioud
Processes,
22 (1990)
89
89-99
Elsevier BEPROC
00313
Choice in a self-control effects of reinforcer
paradigm: quality
George R. King and A.W. Logue State University
of New York at Stony Brook, Stony Brook, New York, USA
(Accepted 13 March 1990)
Abstract Pigeons
were exposed
to a self-control
larger, more delayed and smaller, type of grain associated with behavior was influenced delayed alternative alternatives. proportions
paradigm
each alternative)
by grain quality;
generally
the
they chose between quality
(i.e., the
was varied across conditions.
Choice
proportions
changed as a function
Furthermore,
in which
less delayed reinforcers.
Reinforcer
of responses
for the larger, more
of the grains associated with
percentage
deviation
decreased as a function
from
the response
mean baseline
of the relative
response
grain types associated
with each response alternative. Manipulation of reinforcer quality influence the degree of self-control typically exhibited by pigeons.
can significantly
Introduction Self-control can be defined as the choice of a larger, more delayed reinforcer over a smaller, less delayed reinforcer; impulsiveness is the opposite of self-control (Ainslie, 1974;
Grosch & Neuringer,
typically
impulsive
ber of factors
1981;
Rachlin,
1974;
Rachlin & Green,
1972).
Pigeons
(e.g., Logue, Chavarro, Rachlin, & Reeder, 1988). However,
such
as manipulation
of amount,
are
a num-
delay, and rate of reinforcement
(Logue and Chavarro, 1987), manipulation of past experience (Logue & Mazur, 1981; Logue, Rodriguez, Pena-Correal, & Mauro, 1984; Mazur & Logue, 197B), and the use of precommitment trol
procedures (Rachlin
demonstrated
(Logue, Smith,
by pigeons.
& Green, 1972) can affect the degree of self-con-
Other
factors,
such
& Rachlin, 1985) and level of deprivation
as intertrial
interval
duration
(Logue & Pena-Correal,
1985)
tend not to affect the degree of self-control demonstrated by pigeons. All of these studies have used the same type reinforcer (i.e., the same type of grain) for both response alternatives. This is despite the fact that reinforcer quality has been shown to significantly influence the behavior of nonhuman organisms under a variety 0376-6357/90/$03.50
0 1990
Elsevier Science Publishers B.V. (Biomedical Division)
90 of schedules of reinforcement. For example, influence responding on multiple (Beninger, tinger,
McSweeney,
Melville,
& Norman,
1981;
& Higa, 1988) and concurrent
ules of reinforcement stitutable;
(the present
for a discussion
Battalio,
Higa
& McSweeney,
(Hollard
discussion
of reinforcer
talio, Green, Basman, & Klemm,
reinforcer quality has been shown 1972; Beninger and Kendall, 1975; & Davison, assumes
McSweeney,
1971; Miller,
1976) sched-
that the reinforcers
substitutablity
see, Hursh,
1975; Kagel, Battalio,
Kagel, & Green, 1981; Rachlin,
1987;
1978;
Green, & Rachlin,
Kagel, & Battalio,
to Et-
are subKagel, Bat-
1980; Rachlin,
1980).
The lack of research regarding the effects of reinforcer quality on self-control is unfortunate, given that the above previous research indicates that reinforcer quality can significantly
influence
seem to indicate variations
behavior.
that organisms
Furthermore,
in resource and prey quality (Zeiler,
the opportunity
to pursue a low quality,
ity
a higher
to
pursue
Pulliam,
& Charnov,
model).
Furthermore,
conditions,
when
quality,
1977, more
(1982,
than
temporally
The present
experiment
was designed
in reinforcer displayed
of
reinforcer
quality
left responses reinforced
could attenuate
were followed
right
grain. In addition
responses
the strong
would
be sensitive will
to
forgo
(see,
under
relatively
is available,
diet
should
in which
of reinforcer
paradigm, and whether preference
Pyke, natural
pigeons
paradigm
the effects
e.g.,
the optimal
the
quality
variations
for immediacy
typically
paradigm (e.g., Logue et al., 1988). All reinforced
by a 6-s delay and then by 6-s access to grain, and all
were followed
to the reinforcers
differed in quality (high, past preference (amount
to examine
item
involving
laboratory
in a self-control
by pigeons in a self-control
prey
has argued that
demonstrate greater self-control than in a typical reinforcers are always of the same type. on the choice behavior of pigeons
considerations should
close prey item for the opportun-
distant
of the research
1983)
one type
paradigm
1988). For example, organisms
temporally
for a review
Collier
evolutionary
in a self-control
by a 2-s delay and then
differing
by 2-s access to
in amount and delay, the reinforcers
also
medium, and low). Quality was defined by differences in consumed in preference tests) for three different types of
grains. Grain type was used to vary reinforcer
quality
because Miller’s
(1976) work had
suggested that different grains are substitutable. Furthermore, Miller’s work indicated that although there were clear differences in grain preferences, these differences were small enough that the grains could be readily hedonically the case between a sucrose solution
compared, as might
not be
and tap water, for example.
Method Eight White
Subjects. ing weights, necessary
to
Carneau pigeons,
served as subjects maintain
the
maintained
in the present
pigeons’
weights,
conditions and consisted of mixed grain. This grains used in the present experiment.
at 90-95%
experiment. were mixture
given
of their
free-feed-
Supplemental
feedings,
following
experimental
did not contain
if
any of the
Apparatus. Home cage. The home cage was made of aluminum, 35 cm deep, 30 cm high, and 24 cm wide. The front of the cage was a grid with two apertures, each 8 cm wide and 6 cm high, and each located 4 cm from the bottom and 1 cm from a side of the home cage. Hooked to the outside of the apertures were two trays which normally contained the pigeons’ food and water. During the preference trays were replaced with two identical trays containing the grains.
tests
these
91
Experimental
The
chamber.
experimental
apparatus was an aluminum
box, 33.5
cm deep, 35 cm high, and 29.5 cm wide, enclosed in a sound-attenuated chamber. The front of the apparatus contained two round, Plexiglas response keys 2 cm in diameter, each located 5 cm from a side and 7 cm from the top of the apparatus. The response
keys required a force of 0.1 N to operate and could each be transilluminated
by a I-W
light.
Operation
below each response
of a key produced a brief
key, 11 cm from the bottom
feedback click.
and 4 cm from
Located 9 cm
each side of the
apparatus, was a 5 cm aperture which was illuminated by a 1.3-W light during reinforcement access periods. Illumination of the experimental chamber was produced by two 1.3-W houselights, located 7 cm from the back and 11 cm from each side of the apparatus. Located on top of the apparatus were two 7.5-W lights (red and green) that could illuminate via an 8-cm aperture. This
the chamber during
reinforcer
aperture was covered with
delay and access periods
translucent
Plexiglas,
and was
located 10 cm from each side and 13 cm from the front of the apparatus. Masking noise was provided by a fan operating continuously during the session. An IBM-XT
computer,
and recorded responses SKED). Procedure. and preference subjects
located in another room, controlled using a CONMAN
Familiarization tests
and preference
occurred
the experimental
program (CONMAN tests.
in the pigeons’
is similar
Familiarization
home
with
stimuli
to SUPERthe grains
cages. For familiarization,
all
were exposed to each grain type for 9 days, 25 g of grain per day. This
was
done in order to attenuate any neophobic responses the pigeons might have otherwise exhibited toward the grains. Hulled oats, hemp, and durham wheat were used because previous studies had indicated that there are clear differences between these grains (Ettinger, et. al., 1980; Miller, 1976).
in quality
Next, preference tests were conducted to determine the most, moderately, and least preferred grains for each individual pigeon. Each possible pair of the grain types was presented to each subject four times while
controlling
for grain position
(left vs.
right food tray). Each pigeon received one preference test per day, and each test consisted of IO-min access to 50 g of each type of grain. After the IO-min period, the grains were removed and reweighed, including any spillage, to determine the amount consumed. The IO-min period was selected because it allowed a subject sufficient time to sample both grains, but not so much time that a subject could consume both grains (Ettinger
all of
et al., 1981).
A Friedman’s one-way analysis of variance (ANOVA) the amounts of grain consumed and indicated significant
by ranks was performed on differences in consumption
(X2 = 13.0, p < 0.01). For each subject, the high quality grain type was then defined as that of which the subject consumed the most, the medium quality grain as that of which the subject consumed the median amount, and the low quality grain as that of which
the subject
conducted
ate the least (see Table
in the same manner as the initial
2). Post-experimental preference
tests,
preference
did not indicate
tests, any
changes in grain preference.
Predictions Given knowledge of the subjects’ preference structure for the different grain types, it is possible to predict the order of preference for the left response alternative, from
92 Table
1
Predicted
order of preferences
for each condition Ranking
for the left response
in the present
of predicted
preferences
alternative,
Grain type associated with
the left response
the right response
alternative
to smallest,
alternative.
(5),
alternative
Least preferred
preferred
Most preferred
Moderately
Moderately
Least preferred
preferred
preferred
Most preferred
Most preferred
Moderately
Moderately
preferred
preferred
Least preferred
Least preferred
Least preferred
Moderately
Moderately
Most
preferred
preferred
preferred
Most preferred
Least preferred
response
largest (1) to smallest
Grain type associated with
Most
largest
from
experiment.
as a function of the relative grain qualities associated with each Table 1 presents the predicted order of preferences for the left
response alternative, for the conditions in the present experiment. Note that, because constant values for the amounts and delays of reinforcement were used in the present experiment, response from
for
those
alternative
each other,
conditions
in which
or from
indifference.
procedure.
chamber. At the beginning
Tests
for self-control
of a session,
houselight
initiated
types
the High-Medium
reinforcement
with
were conducted
in the experimental
by a white
light.
green, the
Left key pecks that
a 6-s delay period, during which both keylights
the food hopper
period, the green houselight
each
different
and Medium-
the left key was transilluminated
were darkened, and the chamber was illuminated
end of the delay period,
associated
not be significantly
different from each other, nor should the be significantly different from each other.
right key red, and the chamber was illuminated produced a reinforcer
grain
should
In addition,
Low-conditions should not be significantly Low-Medium and Medium-High conditions Self control
the
are the same, preferences
and the
by a green light.
At the
was available for 6s. At the end of this was turned off, and both keylights
and the
white houselight were illuminated. Pecks on the red key that resulted in a reinforcer initiated the same sequence of events, except that the delay and reinforcement periods were both 2s, and the chamber was illuminated by a red, and not a green, light. These contingencies were in effect for the entire experiment. Reinforcers
were scheduled
dent, concurrent
according to a Stubbs and Pliskoff
variable-interval
(VI)
30-s
VI 30-s
schedule.
(1969),
nonindepen-
As each interval
of a
single VI 15-s schedule timed out, a reinforcer was randomly assigned, with a probability of 0.5, to either the left or right response key. The intervals of the VI 15-s schedule were constructed according to the procedure outlined by Fleschler and Hoffman (1968). The Stubbs and Pliskoff schedule required subjects to respond occasionally on both alternatives in order to receive reinforcement from either alternative.
This
procedure
insured
that the
relative
approximately equal for both alternatives, and therefore not vary as a function of reinforcer (grain) preference.
reinforcement that reinforcer
rates
remained
frequency
did
93 Table
2
Order
of conditions,
Condition
grain quality
used, and number
per condition. Number
Grouo 1 Grain Quality
Condition
of sessions
Grain
Left
Right
Left
Low Low Low
Low
Oats
Oats
38
Medium
Oats
Wheat
27
High
Oats
Hemp
21
Medium
High
Wheat
Hemp
24
Medium
Medium
Wheat
Wheat
35
Medium
Low
Wheat
Oats
17
High
Low
Hemp
Oats
49
High
Medium
Hemp
Wheat
18
High
High
Hemp
Hemp
24
‘Group
of
Sessions Grain
-
Number
2
Grain Quality
Grain Right
Left
of
Sessions
Subjects 8 and 12
Subjects 37 and 38
Left
Right
Left
Right
High
High
Wheat
Wheat
Hemp
Hemp
30
High
Medium
Wheat
Hemp
Hemp
Wheat
36
High
Low
Wheat
Oats
Hemp
Oats
15
Medium
Low
Hemp
Oats
Wheat
Oats
38
Medium
Medium
Hemp
Hemp
Wheat
Wheat
36
Medium
High
Hemp
Wheat
Wheat
Hemp
31
Low
High
Oats
Wheat
Oats
Hemp
22
Low
Medium
Oats
Hemp
Oats
Wheat
39
Low
Low
Oats
Oats
Oats
Oats
20
A 3-s changeover thus reinforcement
delay (COD) was in effect to decrease changeover responses of sequences of responses on both alternatives. The COD
vented the delivery
of a reinforcer
key to the other, or for 3 s following
for 3 s following
a changeover from
and pre-
pecking one
a reinforcer.
Sessions were terminated after 30 reinforcers. Conditions were changed after 5 days of stable responding. A pigeon’s responding was considered stable when its response ratio (the number
of left divided by the number
of right responses)
during
the last 5
sessions fell within the range of its response ratios for all previous sessions for that condition. In other words, a pigeon’s response ratios for the last five days of a condition
could not exhibit
more, all pigeons within
any new highs
or lows
a group were required
during
to exhibit
those
sessions.
stable responding
Furtherbefore
conditions were changed. Sessions were conducted 6-7 days per week. The subjects were randomly assigned to one of two groups. The order of conditions was counterbalanced across the groups, thus controlling for order effects. Table 2 lists the order of conditions, the grain quality used in each condition, and the number of sessions conducted per condition for each subject and group.
94 GROUP 2
GROUP 1
nu
t&L
Y-L
L-Y
YH
L-H
H-L
nu
mmmoN
Fig. 1. Response separately
proportions
for each subject.
the medium grain quality,
(left/left The letter
fright
responses)
H refers
un
L.Y Y-L ooNanoN
as a function
to the high grain quality,
and the letter L refers to the low grain quality
of grain quality
the left response the
conditions
to the
grain
type
associated
are arranged according to the predicted
largest to smallest
(see Table 1). The horizontal standard errors
with
right
alternative,
response
order order of response
line indicates of the mean.
indifference,
to
(see Table 2). The first
letter on the x-axis refers to the grain type associated with refers
pairs,
the letter M refers
second
letter
L-H
and the
alternative. proportions,
The from
and the bars are the
95
Results Figure 1 plots the mean proportion of responses for the larger, more delayed alternative (i.e., left/left + right responses) for each subject and condition. In referring ORouP 1
t.O-
al-
a,az-
1
H-L
KY
U-L
Fig. 2. Percentage deviation subject.
The x-axis
1
8mJECTIl. r
“.“-~-T
.
H*l
,
u-u
,
L.L
.
L-Y
,
WI
-1sI
.
L-H
from the mean baseline
response
proportions,
separately
is arranged in the same manner as in Figure 1. The horizontal
no difference
from baseline, and the bars are the standard errors
for each
line indicates
of the mean.
96
to the conditions, the first letter (H = High, M = Medium, and L = Low quality grain types) indicates the grain associated with the left response alternative, and the second letter indicates the grain associated with the right response alternative. The conditions on the x-axis are arranged according to the predicted order of response from largest to smallest analyses. Wilcoxon
(see Table 1). The significance
matched-pairs
in Figure 1 against indifference [T(7) = 0.01, High-Medium Medium-High
tests comparing the response
(i.e., a proportion
than indifference. A Friedman’s
two-way
analysis
presented
that the High-Low
[T(7) = 0.01, Low-Low
[T(7) = 3.01 conditions
No other comparisons
proportions
of 0.5) indicates
[T(7) = 0.01, High-High
[T(7) = 1 .O], and Low-High
proportions,
level was set at p I 0.05 for all
[T(7) = 0.01,
are significantly
larger
are significant.
of variance (ANOVA)
by ranks was performed
on
the response proportions presented in Figure 1. The results of the ANOVA were significant [N= 8, df= 8, X2 = 21.11 indicating changes in the response proportions as a function of reinforcer quality. The L statistic (Page, 1963) was calculated to compare the obtained and predicted order of response proportions (see Table 1). The L statistic was designed to specifically test hypothesis about the order of treatment effects when multiple treatments are present. The statistic was significant, indicating that the obtained
response
proportions
proportions [ L(8, 9) = 2,003]. The above Wilcoxon tests tions
are significantly
generally
follow
the
indicate that both the High-High
larger than indifference,
indicating
bias toward the larger, more delayed alternative. quality
were
deviations
analyzed
by expressing
from baseline.
predicted
Baseline
the
to response
and Low-Low
condi-
the presence of a response
Therefore,
proportions
order
the effects
of responses
of reinforcer as percentage
was taken as the mean of the response
proportions
for the conditions in which the grain types associated with both response alternatives were the same (i.e., the High-High, Medium-Medium, and Low-Low conditions). The response baseline
proportions response
for the remaining
proportion,
conditions
multiplied
this product, thus generating a percentage deviation condition.
Figure
proportions
2 presents
were then divided
the percentage deviations
separately for each subject, and condition
from
(other
corrected for. A Friedman’s performed on the response
from
the baseline
of changes in grain quality
response
than the conditions
The conditions
arranged in the same manner as in Figure 1. Figure 2 suggests changed as a function
mean
from baseline for each remaining
were used to generate the mean baseline condition). subjects
by this
by 100, and then 100 was subtracted
that
on the x-axis are
that the behavior of the
when the response
twoway analysis of variance (ANOVA) proportions presented in Figure 2. The
bias is
by ranks was results of the
ANOVA were significant [N= 8, df= 5, X2 = 12.91. The L statistic (Page, 1963) was calculated to compare the obtained and predicted order of percentage deviation from baseline. tions
The statistic
generally
follow
was significant,
indicating
that the obtained
the predicted order of response
proportions
response
propor-
[ L(8,6) = 6541.
Discussion The
present
experiment
demonstrated
changes
in responding
as a function
of
variations in reinforcer quality. These results are consistent with previous research indicating that reinforcer quality has a significant effect on responding when concurrent and multiple schedules of reinforcement are used (Beninger, 1972;
97
Beninger & Kendall, 1975; Ettinger Hollard & Davison, 1971; Miller, 1976). deviations
from
monotonically
mean baseline
et al., 1981; The response
response
proportions
decreasing trend as a function
with the left response
alternative,
ions of the present experiment
Higa & McSweeny, 1987; proportions and percentage exhibited
of the relative
an approximately,
grain quality
and these changes are consistent
with
of the L test). Therefore,
(see the results
associated the predict-
the effects of
reinforcer quality can attentuate the preference for immediacy typically exhibited by pigeons in a self-control paradigm (e.g., Logue, Chavarro, Rachlin, & Reeder, 1988), and therefore The
can affect the degree of self- control
generally
small
effect
of
probably due to the concurrent required
the subjects
reinforcer
exhibited
quality
in
dependent schedules
to respond
by pigeons.
the
present
experiment
of reinforcement.
on both response
alternatives
This
is
schedule
in order to recieve
reinforcement from either alternative. The use of concurrent independent schedules of reinforcement would probably have resulted in a larger effect of reinforcer quality. However,
under such schedules
the obtained reinforcement
rate for a given response
alternative varies as a function of the preference for that alternative. Therefore, the use of concurrent independent schedules in the present experiment would have resulted
in the obtained reinforcement
confounding self-control
the analysis alternative
the response significant
rate covarying with
of reinforcer
complicates
the analysis
The
reinforcer
presence
of reinforcer
quality,
the predictions
quality
of the present
is still
experiment.
during the Medium-High
and Low-High
a lesser
38. The
extent,
Subject
quality.
However,
large mean increase,
a
with
in Group
2,
is largely due to Subject 37, and to
in Group
2 experienced
conditions,
the
and this
High-Low could
have
bias for the larger, more delayed response
research on self-control
has been questioned
when
from baseline,
and the effect is consistent
and Low-High
exacerbated, or created, a strong response alternative. The adequacy of laboratory
The
conditions
subjects
before the Medium-High
$or self-control
present,
thereby
of a bias for the left,
bias is corrected for by using the percentage deviation
effect of reinforcer
condition
quality.
in pigeons as a general model
because of the failure
to easily
influence
the
magnitude self-control (Logue, 1988). However, the present results indicate that reinforcer quality can increase the magnitude of self-control typically exhibited by pigeons. Therefore, the present results are consistent with evolutionary considerations suggesting that organisms should be able to wait for higher quality, temporally distant resources (see, also, Logue, 1988; Zeiler, 1988). The results are also consistent with Collier’s
(1982,1983)
ment would
result
In summary,
assertion
that a more natural simulation
of the pigeon’s environ-
in increased self-control.
changes in reinforcer
quality
influenced
the degree of self-control
exhibited by pigeons. These results support previous procedures, all of which indicate that reinforcer quality
research using very different is a significant determinant of
operant behavior.
experiment
list
of variables
Finally,
that will
the procedure of the present result
in increased
self-control
advantage of being a more natural simultation
adds to the short
in the pigeon,
and has the
of the pigeon’s environment.
References Ainslie,
G.W.
Behavior,
(1974). 21.
impulse
control
in pigeons.
lourrtal
of
the
Experimental
Analysis
of
98 Beninger,
R.J. (1972).
Psychonomic Beninger,
Positive
Science,
R.J., & Kendall,
different
response
behavioral
contrast
with qualitatively
different
reinforcing
stimuli.
29, 307-308. S.B. (1975).
Behavioral
topographies.
Journal
contrast
of
the
in rats with
Experimental
different Analysis
reinforcers
and
Behavior,
24,
Symposium
on
of
267-280. Collier,
G.H.
(1982).
Collier,
Determinants
1987 (pp. 69-127).
Motivation
G.H. (1983).
Zeiler Ettinger,
R.H.,
function
Groscb,
H.S.
J., & Neuringer,
F.K.
Behavior
M.C. (1971).
In M.D.
3 Biological
in
factors
R.C., Green,
in pigeons contrast
as a
of
the
in rats when
paradigm.
/ournal
qualitatively
different
different
reinforcers.
journal
of
16, 375-380
of daily consumption
controlling
Analysis
29, 475-491.
of Behavior,
L., & Rachlin, Staddon
New York:
schedules.
42.
for qualitatively
In J.E.R.
demand
/ourna/
variable-interval
under the Mischel
Preference
Green,
of consumer
undermatching
schedules.
529-530.
15, 131-I
Battalio,
R.C.,
and “}”
multiple
35, 3-21.
Behavioral
of Behavior,
in rats.
Contrast
Processes,
(pp. 237-267),
Kagel, J.H., studies
self-control
The economics
choice behavior
and motivation.
Vol.
for generating
of Behavior,
of Behavior,
of the Experimental
Kagel, J.H., Battalio,
during
A progression
(1987).
Analysis
S.R. (1978).
(1981).
Analysis
A. (1981).
V., & Davison,
ing. Journal
behavior:
35, 271-282.
are used. Behavioural
the Experimental
W.D.
(1962).
Analysis
J.J., & McSweeney,
Hollard,
of
and quality
of Behavior,
of the Experimental
reinforcers
Hursh,
duration
Analysis
of the Experimental Higa,
Nebraska Press.
The ecology of learning
in analysis
F.K., & Norman,
reinforcer
M., & Hoffman,
journal
Advances
(Ed.),
of Nebraska
Wiley.
McSweeney, of
Experimental Fleshier,
(Eds.),
York:
New
In D.J. Bernstein
NE: University
Life in a closed economy:
& P. Harzem
learning.
of choice. Lincoln,
H. (1980). (Ed.),
food-
Consumer
Limits
and water-respond-
demand theory
to Action:
Allocation
applied to
of Individual
Academic Press.
L., Rachlin, behavior
H.,
Basman,
using
R.L., & Klemm,
laboratory
animals.
W.R..
Experimental
Economic
Inquiry,
13,
22-38. Logue,
A.W.
(1988).
Research
on self-control:
An
integrating
framework.
Behavioral
& Brain
Sciences. Logue,
A.W.,
reinforcer
& Chavarro,
ior Processes, Logue, A.W., A.W.,
procedure: Logue, A.W.,
chamber.
& Mazur,
Mazur,
Smith,
M.L.,
McSwecney, alcohol Miller,
Journal
Pyke, G.H.,
of
Impulsiveness
self-control
Letters,
The effect of food deprivation
of Behavior,
in pigeons
acquired
Analysis
of
Behavliving in
through
a fading
1, 131-137. on self-control.
Journal
41, 267-277.
Pena-Correal,
T.E., & Mauro,
B.C. (1984).
differences.
Journal
Choice in a self-control of the Experimental
M., & Rachlin, A.W.
H. (1985). Sensitivity of pigeons Learning & Behavior, 13, 181-186.
(1978).
Choice
of the Experimental
F., Melville, reinforcers.
L. (1976).
Behavior,
values
Animal
16, 31-39.
& Behavior,
of experience-based
delay. Animal
J.E., & Logue,
procedure.
and realtive
Psychology:
Anal-
41, 53-67.
ysis of Behavior, A.W.,
of absolute
of Experimental
and Logue Behavior
T.E. (1985).
Analysis
Rodriguez,
Learning
Maintenance
on Mazur
& Pena-Correal,
postreinforcer
on choice
Journal
H., & Reeder, R.W. (1988).
Animal
J.E. (1981).
Follow-up
paradigm: Quantification Logue,
effect
13, 280-291.
of the Experimental Logue, A.W.,
The
and frequency.
Chavarro, A., Rachlin,
the experimental Logue,
A. (1987).
delay, amount,
C., & Higa,
Journal
in a “selfcontrol” of Behavior,
J.J. (1988).
Matching-based
hedonic
Positive
behavioral
Analysis
scaling.
contrast
of Behavior,
Journal
prereinforcer
paradigm: Effects 30, II-I 7.
Analysis
of the Experimental
to
of
the
of
across
and
a fading food
and
50, 469-481.
Experimental
Analysis
of
26, 335-345. Pulliam,
and test. Quarterly
H.R., & Charnov, Review
E.L. (1977).
of Biology,
Optimal
52, 137-154.
foraging:
A selective
review
of theory
99 Rachlin,
H. (1974). Self-control.
Rachlin,
H.,
Battalio,
chology. Rachlin,
and Brain Sciences,
Maximization
theory
H.,
Review,
of Behavior, Kagel,
Journal
of the fxperimen-
17, IS-22.
I., & Battalio,
D.A., & Pliskoff, Journal (1988).
(commentary),
Author
psy-
R. (1980).
Substitutability
in time
allocation.
Psychological
87,355-374.
forcement. M.D.
in behavioral
4, 371-417.
H., & Green, L. (1972). Commitment, choice and self-control.
Rachlin,
Zeiler
2, 94107. L. (1981).
The Behavioral
tal Analysis
Stubbs,
Behaviorism,
R., Kagel, J., & Green,
S.S. (1969).
Concurrent
of the Experimental Evolution
is not
responding
Analysis
rational
with
of Behavior,
banking.
The
fixed
relative
rate of
rein-
12, 887-895. Behavioral
and
Brain
Sciences
11, 696-697.
Note
The present research was supported awarded to the first author and by NSF
by a Sigma Xi Grant-in-Aid-of-Research Grant BNS-8416302, A.W. Logue, principal
investigator. Comments by Jennifer Higa on previous versions of the manuscript are greatly appreciated. The authors would also like to thank F. Basile, L.J. Bonvino, and K. Kline, for their assistance in conducting Reprint requests should be sent to A.W. University
the experiment and analyzing the data. Logue, Department of Psychology, State
of New York at Stony Brook, Stony
Brook,
NY 11794, USA.