Response-reinforcer relations and resistance to change

Behavioral momentum theory suggests that the relation between a response and a reinforcer (i.e., response-reinforcer relation) governs response rates and the relation between a stimulus and a reinforcer (i.e., stimulus-reinforcer relation) governs resistance to change. The present experiments compared the effects degrading response-reinforcer relations with response-independent or delayed reinforcers on resistance to change in conditions with equal stimulus-reinforcer relations. In Experiment 1, pigeons responded on equal variable-interval schedules of immediate reinforcement in three components of a multiple schedule. Additional response-independent reinforcers were available in one component and additional delayed reinforcers were available in another component. The results showed that resistance to disruption was greater in the components with added reinforcers than without them (i.e., better stimulus-reinforcer relations), but did not differ for the components with added response-independent and delayed reinforcement. In Experiment 2, a component presenting immediate reinforcement alternated with either a component that arranged equal rates of reinforcement with a proportion of those reinforcers being response independent or a component with a proportion of the reinforcers being delayed. Results showed that resistance to disruption tended to be either similar across components or slightly lower when response-reinforcer relations were degraded with either response-independent or delayed reinforcers. These findings suggest that degrading response-reinforcer relations can impact resistance to change, but that impact does not depend on the specific method and is small relative to the effects of the stimulus-reinforcer relation.     

Resistance to extinction and behavioral momentum

In the metaphor of behavioral momentum, reinforcement is assumed to strengthen discriminated operant behavior in the sense of increasing its resistance to disruption, and extinction is viewed as disruption by contingency termination and reinforcer omission. In multiple schedules of intermittent reinforcement, resistance to extinction is an increasing function of reinforcer rate, consistent with a model based on the momentum metaphor. The partial-reinforcement extinction effect, which opposes the effects of reinforcer rate, can be explained by the large disruptive effect of terminating continuous reinforcement despite its strengthening effect during training. Inclusion of a term for the context of reinforcement during training allows the model to account for a wide range of multiple-schedule extinction data and makes contact with other formulations. The relation between resistance to extinction and reinforcer rate on single schedules of intermittent reinforcement is exactly opposite to that for multiple schedules over the same range of reinforcer rates; however, the momentum model can give an account of resistance to extinction in single as well as multiple schedules. An alternative analysis based on the number of reinforcers omitted to an extinction criterion supports the conclusion that response strength is an increasing function of reinforcer rate during training.     

Choice in humans: Functional properties of reinforcers established by instruction

Adult human subjects chose between schedules containing stimuli (indicator lights) that the subjects were instructed to consider pleasurable. The schedules differed in amount of reinforcement (period of illumination) or delay (interval between a choice response and light onset). Although subjects preferred large to small amounts of reinforcement, they were essentially indifferent between immediate and delayed reinforcement. In contrast, previous data on video game reinforcement demonstrated preferences for both immediate and large amounts of reinforcement. The instructed reinforcer was thus partially effective in controlling choice but was not equivalent to a reinforcer that presumably had intrinsic value.     

Reinforcer satiation and resistance to change of responding maintained by qualitatively different reinforcers

In previous research on resistance to change, differential disruption of operant behavior by satiation has been used to assess the relative strength of responding maintained by different rates or magnitudes of the same reinforcer in different stimulus contexts. The present experiment examined resistance to disruption by satiation of one reinforcer type when qualitatively different reinforcers were arranged in different contexts. Rats earned either food pellets or a 15% sucrose solution on variable-interval 60-s schedules of reinforcement in the two components of a multiple schedule. Resistance to satiation was assessed by providing free access either to food pellets or the sucrose solution prior to or during sessions. Responding systematically decreased more relative to baseline in the component associated with the satiated reinforcer. These findings suggest that when qualitatively different reinforcers maintain responding, relative resistance to change depends upon the relations between reinforcers and disrupter types.     

Effect of signaling reinforcement on resistance to change in a multiple schedule

This study evaluated the effect of a signal on resistance to change using a multiple schedule of reinforcement. Experiment 1 presented pigeons with three schedules: a signaled delay to reinforcement schedule (a two-link chain schedule with a variable-interval 120-s initial link followed by a 5-s fixed-time schedule), an unsignaled delay schedule (a comparable two-link tandem schedule), and an immediate, zero-delay variable-interval 125-s schedule. Two separate disruption procedures assessed resistance to change: extinction and adding a variable-time 20-s schedule of reinforcement to the inter-component interval. Resistance to change tests were conducted twice, once with the signal stimulus (the terminal link of the chain schedule) present and once with it absent. Results from both disruption procedures showed that signal absence reduced resistance to change for the pre-signal stimulus. In probe choice tests subjects strongly preferred the signal stimulus over the unsignaled stimulus and exhibited no reliable preference when given a choice between the signal stimulus and immediate stimulus. Experiment 2 presented two equal signaled schedules where, during resistance to change tests, the signal remained for one schedule and was removed for the second. Resistance to change was consistently lower when the signal was absent.     

Resistance to change in goldfish

Resistance to change has been studied in several species such as humans, rats, and pigeons. We conducted two experiments using goldfish as subjects to examine the generality of the findings on resistance to change in a phylogenetically more primitive species. In Experiment 1, five goldfish (Carassius auratus) were trained on two-component multiple schedules with different variable-interval schedules in effect. When responding was disrupted by presenting free food during intercomponent intervals or by extinction, resistance to change was greater in the component with the higher reinforcement rates. In Experiment 2, identical variable-interval schedules were presented in two multiple-schedule components, but in one of the components response-independent food was delivered concurrently according to variable-time schedules. Baseline response rates were the same for both components, which is inconsistent with previous findings with other species that the addition of response-independent food decreases response rates. However, response rates in the component with added response-independent food showed the greater resistance to change, which is similar to findings in other species. The convergence of these results across various species confirms the generality of the findings on resistance to change.     

Extending mathematical principles of reinforcement into the domain of behavioral pharmacology

Mathematical principles of reinforcement (MPR) attempts to integrate the empirical laws of reinforcement schedules that have accumulated over the decades. MPR is based on three principles: incentives excite behavior; there are temporal constraints on responding; and coupling of responses to reinforcers strengthens behavior [Behav. Brain Sci. 17 (1994) 105]. In the present paper MPR is extended into the domain of behavioral pharmacology, specifically to model the effects of D-amphetamine on operant behavior. In Experiment 1a, a five-component multiple fixed-ratio schedule was designed to generate behavioral baselines that were subsequently used to assess drug effect. In Experiments 1b and 1c, the quality and quantity of reinforcer were manipulated. The data generated by the three experiments were consistent with MPR. In Experiment 2, MPR was used to model the effects of D-amphetamine on rats responding under the five-component multiple fixed-ratio schedule. According to the model, the rate-decreasing effects of D-amphetamine were due primarily to motor disruption and secondarily to increased impulsivity; at the highest dosages, D-amphetamine also may have decreased the incentive value of food.     

Varying reinforcer duration produces behavioral interactions during multiple schedules

The experiments tested the idea that changes in habituation to the reinforcer contribute to behavioral interactions during multiple schedules. This idea predicts that changing an aspect of the reinforcer should disrupt habituation and produce an interaction. Pigeons and rats responded on multiple variable interval variable interval schedules. Introducing variability into the duration of reinforcers in one component increased response rates in both components when the schedules provided high, but not low, rates of reinforcement. The increases in constant-component response rates grew larger as the session progressed. Within-session decreases in responding were smaller when the other component provided variable-, rather than fixed-, duration reinforcers. These results are consistent with the idea that changes in habituation to the reinforcer contribute to behavioral interactions. They help to explain why interactions do not occur for some subjects under conditions that produce them for others. Finally, the results question the assumption that induction and behavioral contrast are always produced by different theoretical mechanisms.     

Transitional choice behavior in concurrent-chain schedules

The choice responses of four pigeons were examined in 20 periods of transition in a concurrent-chain procedure with variable-interval schedules as initial links and fixed delays to reinforcement as terminal links. In some conditions, the delays to reinforcement were different for the two terminal links, and changes in preference were recorded after the delays for the two response keys were switched. In other conditions, the reinforcer delays were equal for the two keys, but which key delivered 80% of the reinforcers was periodically switched. Choice proportions changed more quickly after a switch in reinforcement percentages than after a switch in the delays, thereby contradicting the hypothesis that faster changes would occur when the switch in conditions was easier to discriminate. Analyses of response sequences showed that the effects of individual reinforcers were larger and lasted longer in conditions with changing reinforcement percentages than in conditions with changing terminal-link delays. Rates of change in choice behavior do not appear to be limited by the unpredictability of variable reinforcement schedules, because the changes in behavior were slow and gradual even when there was a large and sudden change in reinforcer delays.     

Habituation and the reinforcing effectiveness of visual stimuli

The term "sensory reinforcer" has been used to refer to sensory stimuli (e.g. light onset) that are primary reinforcers in order to differentiate them from other more biologically important primary reinforcers (e.g. food and water). Acquisition of snout poke responding for a visual stimulus (5s light onset) with fixed ratio 1 (FR 1), variable-interval 1min (VI 1min), or variable-interval 6min (VI 6min) schedules of reinforcement was tested in three groups of rats (n=8/group). The VI 6min schedule of reinforcement produced a higher response rate than the FR 1 or VI 1min schedules of visual stimulus reinforcement. One explanation for greater responding on the VI 6min schedule relative to the FR 1 and VI 1min schedules is that the reinforcing effectiveness of light onset habituated more rapidly in the FR 1 and VI 1min groups as compared to the VI 6min group. The inverse relationship between response rate and the rate of visual stimulus reinforcement is opposite to results from studies with biologically important reinforcers which indicate a positive relationship between response and reinforcement rate. Rapid habituation of reinforcing effectiveness may be a fundamental characteristic of sensory reinforcers that differentiates them from biologically important reinforcers, which are required to maintain homeostatic balance.     

Resistance to extinction, generalization decrement, and conditioned reinforcement

This study investigated generalization decrement during an extinction resistance-to-change test for pigeon key pecking using a two-component multiple schedule with equal variable-interval 3-min schedules and different reinforcer amounts (one component presented 2-s access to reinforcement and the other 8s). After establishing baseline responding, subjects were assigned to one of the two extinction conditions: hopper stimuli (hopper and hopper light were activated but no food was available) or Control (inactive hopper and hopper light). Responding in the 8-s component was more resistant to extinction than responding in the 2-s component, the hopper stimuli group was more resistant to extinction compared to the Control group, and an interaction between amount of reinforcement, extinction condition, and session block was present. This finding supports generalization decrement as a factor that influences resistance to extinction. Hopper-time data (the amount of time subjects spent with their heads in the hopper) were compared to resistance-to-change data in an investigation of the role of conditioned reinforcement on resistance to change.     

Dishabituation with component transitions may contribute to the interactions observed during multiple schedules

Rates of responding by rats were usually higher during the variable interval (VI) 30-s component of a multiple VI 30-s fixed interval (FI) 30-s schedule than during the same component of a multiple VI 30-s VI 30-s schedule (Experiment 1). Response rates were also usually higher during the FI 30-s component of a multiple VI 30-s FI 30-s schedule than during the same component of a multiple FI 30-s FI 30-s schedule (Experiment 2). The differences in response rates were not observed when the components provided VI or FI 120-s schedules. These results were predicted by the idea that differences in habituation to the reinforcer between multiple schedules contribute to behavioral interactions, such as behavioral contrast. However, differences in habituation were not apparent in the within-session patterns of responding. Finding differences in response rates in both experiments violates widely-held assumptions about behavioral interactions, including that behavioral contrast does not occur for rats and that improving the conditions of reinforcement decreases, rather than increases, response rate in the alternative component.     

Reinforcer devaluation by extinction depends on the food restriction protocol

A common feature of reinforcer devaluation studies is that new learning induces the devaluation. The present study used extinction to induce new learning about the conditioned reinforcer in a heterogeneous chain schedule. Rats pressed a lever in a heterogeneous chain schedule to produce a conditioned reinforcer (light) associated with the opportunity to obtain an unconditioned reinforcer (food) by pulling a chain. The density of food reinforcement correlated with the conditioned reinforcer was varied in a comparison of continuous and variable-ratio reinforcement schedules of chain pulling; this had no noticeable effect on conditioned reinforcer devaluation produced by extinction of chain pulling. In contrast, how rats were deprived appeared to matter very much. Restricting meal duration to 1h daily produced more lever pressing during baseline training and a greater reductive effect of devaluation on lever pressing than restricting body weight to 80% of a control rat's weight, which eliminated the devaluation effect. Further analysis suggested that meal-duration restriction may have produced devaluation effects because it was more effective than weight restriction in reducing rats' body weights. Our results exposed an important limitation on the devaluation of conditioned reinforcers: slight differences in food restriction, using two commonly employed food-restriction procedures, can produce completely different interpretations of reinforcer devaluation while leaving reinforcer-based learning intact.     

Rapid acquisition of preference in concurrent schedules: effects of reinforcement amount

Four pigeons were trained on concurrent variable-interval 30-s schedules. Relative reinforcer amounts arranged across the two alternatives were varied across sessions according to a pseudorandom binary sequence [cf., Hunter, I., Davison, M., 1985. Determination of a behavioral transfer function: white-noise analysis of session-to-session response-ratio dynamics on concurrent VI schedules. J. Exp. Anal. Behav. 43, 43-59]; the ratios (left/right) were either 1/7 or 7/1. Reinforcer amount was manipulated by varying the number of 1.2s hopper presentations. Sessions ended after 30 reinforcers (15 for each alternative). After approximately 30 sessions, response ratios for all pigeons began to track the changes in amount ratio (i.e., subjects' responding showed a moderate increase in sensitivity of responding to reinforcer amount). Characteristics of responding were similar to procedures in which reinforcer rate and immediacy have been manipulated, although sensitivity estimates for amount were lower than those previously obtained with rate and immediacy. This procedure may serve as a useful method for studying the effects of certain environmental manipulations (e.g., drug administration) on sensitivity to reinforcer amount.     

Superstitious responding and reinforcement rate under concurrent variable-interval extinction schedules

To examine superstitious responding, four pigeons key pecked under multiple concurrent variable-interval 45 s variable-interval 90 s concurrent variable-interval 90 s variable-interval 180 s schedules in the absence of a changeover delay. The two variable-interval 90 s schedules then were replaced by extinction, and key-peck responding during extinction was examined as a function of the prevailing reinforcement rate. During the first several sessions, extinction-key responding was maintained closer to baseline levels in the presence of the higher reinforcement rate, and this effect dissipated or even reversed with continued exposure to extinction. Although extinction-key responding generally decreased to near-zero levels after several sessions, in a few instances, it continued for 30 and 45 sessions. These results demonstrate how concurrent variable-interval extinction schedules can be used to investigate what often has been labeled superstitious responding.     

The effect of prefeeding on fixed-ratio pausing is jointly determined by past and upcoming reinforcer magnitudes

Pausing within multiple fixed-ratio schedules differing in reinforcer magnitude is jointly controlled by both past and upcoming conditions of reinforcement. Abrupt shifts from a just-received large reinforcer to a signaled upcoming small reinforcer (i.e., a negative incentive shift) produce marked disruptions in responding, as indexed by extended pausing. The purpose of this experiment was to determine if reducing the level of food deprivation via prefeeding enhanced these disruptive effects. Five Long Evans rats lever-pressed according to a fixed-ratio schedule. Half of the components ended in a relatively large reinforcer (three 45-mg food pellets) and half ended in a relatively small reinforcer (one pellet). Components alternated irregularly, yielding four transitions between reinforcers: small-small, small-large, large-small (the negative incentive shift), and large-large. During five, 1-session prefeeding probes, rats were given 12 g of food in their home cages 1 h prior to the start of the session. Under steady-state conditions, negative incentive shifts engendered the longest pausing. Prefeeding produced large absolute and relative increases in pausing during negative incentive shifts, and small increases in pausing in the other transitions. The results are interpreted within a resistance to change framework.     

Tradeoffs among delay, rate, and amount of reinforcement

In Experiment 1, an adjusting-delay procedure was used to measure pigeons' choices between a single delayed reinforcer and a range of different variable-time schedules. Indifference points showed an inverse relation between rate of reinforcement and delay that was well described by a hyperbolic equation. An adjusting-amount procedure was used in Experiment 2, in which pigeons chose between an adjusting amount of food delivered after a 0.5-s delay and 3 s of food delivered after a range of different delays, and the effects of delay were similar to those found in Experiment 1. The results from both experiments indicated that, for pigeons, the strength of a reinforcer decreased rapidly with increasing delay. Estimates of a decay rate parameter in the hyperbolic equation were similar to those found in other studies with pigeons, but the rates of temporal discounting were three or four times faster than those found in studies with rats, suggesting a possible species difference.     

Simple and multiple schedule responding and behavioral contrast when pigeons press treadles

Positive behavioral contrast has been observed when pigeons press treadles on multiple schedules for high rates of reinforcement, but not for low rates. Negative treadle-press contrast has been observed for low rates of reinforcement. Two experiments showed that differences between response rates emitted during simple and multiple schedules appear and fail to appear under similar conditions. The experiments showed that the rate of pressing during the less favorable component of a multiple schedule was less than the rate of pressing during a comparable simple schedule (negative contrast). The rate of treadle–pressing during the more favorable component was not greater than the rate of pressing during a comparable simple schedule, when the schedules provided a low rate of reinforcement (absence of positive contrast), but it was when the schedules provided a high rate of reinforcement (positive contrast). These results help to clarify the definition of behavioral contrast by showing that simple schedules may be appropriate baselines from which to define and measure contrast.     

Operant behavior in dwarf hamsters (Phodopus campbelli): Effects of rate of reinforcement and reinforcer flavor variety

We investigated operant behavior in a novel species, the dwarf hamster (Phodopus campbelli). In two experiments, hamsters were trained to lever-press for food reinforcement. In Experiment 1, rate of reinforcement was manipulated across conditions using four variable-interval schedules of reinforcement (delivering one to eight reinforcers per min). As predicted, within-session decreases in responding were steepest on the richest schedule. In Experiment 2, lever-pressing was reinforced by either a constant or a variety of flavored food pellets. Within-session decreases in responding were steeper when the reinforcer flavor remained constant than when it was varied within the session. In both experiments, subjects hoarded most reinforcers in their cheek pouches rather than consuming them in the operant chambers. These results are incompatible with post-ingestive satiety variables as explanations for within-session decreases in operant responding and suggest that habituation to repeatedly presented reinforcers best accounts for subjects’ response patterns. Additionally, a mathematical model that describes behavior undergoing habituation also described the present results, thus strengthening the conclusion that habituation mediates the reinforcing efficacy of food.     

Concurrent schedule performance in domestic goats: persistent undermatching

Performance of nine domestic goats responding under concurrent variable-interval variable-interval schedules of food delivery was examined, with results analyzed in terms of the generalized matching equation. Substantial undermatching of response and time allocation ratios to obtained reinforcement ratios was evident. Post-reinforcement pause time ratios approximately matched obtained reinforcement ratios. Subtracting these times from total time allocation values yielded net time allocation ratios, which undermatched obtained reinforcement ratios to a greater degree than whole-session time allocation ratios. Slopes of regression lines relating behavioral outputs to environmental inputs characteristically were below 0.6, which is similar to previous findings in dairy cows tested under comparable conditions.