Academic Journal
Discounting of probabilistic food reinforcement by pigeons.
| Title: | Discounting of probabilistic food reinforcement by pigeons. |
|---|---|
| Authors: | Oliveira L; Department of Psychological & Brain Sciences, Washington University, St. Louis, MO, USA., Green L; Department of Psychological & Brain Sciences, Washington University, St. Louis, MO, USA., Myerson J; Department of Psychological & Brain Sciences, Washington University, St. Louis, MO, USA., Wan H; Department of Psychological & Brain Sciences, Washington University, St. Louis, MO, USA. |
| Source: | Journal of the experimental analysis of behavior [J Exp Anal Behav] 2025 Jul; Vol. 124 (1), pp. e70042. |
| Publication Type: | Journal Article |
| Language: | English |
| Journal Info: | Publisher: Wiley-Blackwell Country of Publication: United States NLM ID: 0203727 Publication Model: Print Cited Medium: Internet ISSN: 1938-3711 (Electronic) Linking ISSN: 00225002 NLM ISO Abbreviation: J Exp Anal Behav Subsets: MEDLINE |
| Imprint Name(s): | Publication: [Malden, MA] : Wiley-Blackwell Original Publication: Waltham, Mass., Society for the Experimental Analysis of Behavior. |
| MeSH Terms: | Delay Discounting* , Reinforcement, Psychology* , Choice Behavior* , Probability Learning*, Animals ; Columbidae ; Conditioning, Operant ; Reinforcement Schedule ; Food ; Probability |
| Abstract: | Two experiments examined pigeons' discounting of probabilistic food reinforcers using a concurrent-chains procedure within sessions combined with an adjusting-amount procedure across sessions. The study is the first to evaluate probability discounting functions in nonhuman animals in which the obtained probability equaled that programmed in each session. In Experiment 1, pigeons chose between a smaller, certain and a larger, but probabilistic food reinforcer. In Experiment 2, the probabilities of receiving both reinforcement options were reduced by a common factor, creating a choice situation in which both options were probabilistic: a smaller, more probable reinforcer and a larger, but less probable reinforcer. Results revealed that regardless of whether choices involved a certain versus a probabilistic reinforcer or they involved two probabilistic reinforcers, subjective value decreased systematically as a function of the odds against receipt of the reinforcer and that the data were well described by the hyperboloid discounting function. In addition, no significant effect of reinforcer amount on degree of probability discounting was observed, consistent with results from studies of the discounting of delayed reinforcers by nonhuman animals. (© 2025 Society for the Experimental Analysis of Behavior.) |
| References: | Alsop, B., & Davison, M. (1986). Preference for multiple versus mixed schedules of reinforcement. Journal of the Experimental Analysis of Behavior, 45(1), 33–45. https://doi.org/10.1901/jeab.1986.45-33. Autor, S. M. (1969). The strength of conditioned reinforcers as a function of frequency and probability of reinforcement. In D. Hendry (Ed.), Conditioned reinforcement (pp. 127–162). Dorsey Press. Baker, F., Johnson, M. W., & Bickel, W. K. (2003). Delay discounting in current and never‐before cigarette smokers: Similarities and differences across commodity, sign, and magnitude. Journal of Abnormal Psychology, 112(3), 382–392. https://doi.org/10.1037/0021-843X.112.3.382. Bickel, W. K., Odum, A. L., & Madden, G. J. (1999). Impulsivity and cigarette smoking: Delay discounting in current, never, and ex‐smokers. Psychopharmacology, 146(4), 447–454. https://doi.org/10.1007/PL00005490. Bodeker, R. R. H., & Grace, R. C. (2024a). Effects of methamphetamine on delay discounting in rats using concurrent chains. Learning & Behavior. https://doi.org/10.3758/s13420-024-00657-w. Bodeker, R. R. H., & Grace, R. C. (2024b). Effects of methamphetamine on probability discounting in rats using concurrent chains. Behavioural Processes, 214, Article 104971. https://doi.org/10.1016/j.beproc.2023.104971. Brown, P. L., & Jenkins, H. M. (1968). Auto‐shaping of the pigeon's key‐peck. Journal of the Experimental Analysis of Behavior, 11(1), 1–8. https://doi.org/10.1901/jeab.1968.11-1. Bürkner, P.‐C. (2017). brms: An R package for Bayesian multilevel models using Stan. Journal of Statistical Software, 80(1), 1–28. https://doi.org/10.18637/jss.v080.i01. Calvert, A. L., Green, L., & Myerson, J. (2010). Delay discounting of qualitatively different reinforcers in rats. Journal of the Experimental Analysis of Behavior, 93(2), 171–184. https://doi.org/10.1901/jeab.2010.93-171. Caraco, T., Martindale, S., & Whittam, T. S. (1980). An empirical demonstration of risk‐sensitive foraging preferences. Animal Behaviour, 28(3), 820–830. https://doi.org/10.1016/S0003-3472(80)80142-4. Carpenter, B., Gelman, A., Hoffman, M. D., Lee, D., Goodrich, B., Betancourt, M., Brubaker, M. A., Guo, J., Li, P., & Riddell, A. (2017). Stan: A probabilistic programming language. Journal of Statistical Software, 76, Article 1. 10.18637/jss.v076.i01. Davison, M., & Jenkins, P. E. (1985). Stimulus discriminability, contingency discriminability, and schedule performance. Animal Learning & Behavior, 13(1), 77–84. https://doi.org/10.3758/BF03213368. Douma, J. C., & Weedon, J. T. (2019). Analysing continuous proportions in ecology and evolution: A practical introduction to beta and Dirichlet regression. Methods in Ecology and Evolution, 10(9), 1412–1430. https://doi.org/10.1111/2041-210X.13234. Du, W., Green, L., & Myerson, J. (2002). Cross‐cultural comparisons of discounting delayed and probabilistic rewards. The Psychological Record, 52(4), 479–492. https://doi.org/10.1007/BF03395199. Estle, S. J., Green, L., Myerson, J., & Holt, D. D. (2006). Differential effects of amount on temporal and probability discounting of gains and losses. Memory & Cognition, 34(4), 914–928. https://doi.org/10.3758/BF03193437. Fleshler, M., & Hoffman, H. S. (1962). A progression for generating variable‐interval schedules. Journal of the Experimental Analysis of Behavior, 5(4), 529–530. https://doi.org/10.1901/jeab.1962.5-529. Freeman, K. B., Nonnemacher, J. E., Green, L., Myerson, J., & Woolverton, W. L. (2012). Delay discounting in rhesus monkeys: Equivalent discounting of more and less preferred sucrose concentrations. Learning & Behavior, 40(1), 54–60. https://doi.org/10.3758/s13420-011-0045-3. Gabry, J., & Češnovar, R. (2022). cmdstanr: R interface to CmdStan [Computer software]. https://mc-stan.org/cmdstanr/. Grace, R. C., & McLean, A. P. (2015). Evidence for a magnitude effect in probability discounting with pigeons. Journal of Experimental Psychology: Animal Learning and Cognition, 41(4), 406–418. https://doi.org/10.1037/xan0000077. Grace, R. C., Sargisson, R. J., & White, K. G. (2012). Evidence for a magnitude effect in temporal discounting with pigeons. Journal of Experimental Psychology: Animal Behavior Processes, 38(1), 102–108. https://doi.org/10.1037/a0026345. Green, L., & Myerson, J. (2004). A discounting framework for choice with delayed and probabilistic rewards. Psychological Bulletin, 130(5), 769–792. https://doi.org/10.1037/0033-2909.130.5.769. Green, L., Myerson, J., & Calvert, A. L. (2010). Pigeons' discounting of probabilistic and delayed reinforcers. Journal of the Experimental Analysis of Behavior, 94(2), 113–123. https://doi.org/10.1901/jeab.2010.94-113. Green, L., Myerson, J., Holt, D. D., Slevin, J. R., & Estle, S. J. (2004). Discounting of delayed food rewards in pigeons and rats: Is there a magnitude effect? Journal of the Experimental Analysis of Behavior, 81(1), 39–50. https://doi.org/10.1901/jeab.2004.81-39. Green, L., Myerson, J., Oliveira, L., & Chang, S. E. (2013). Delay discounting of monetary rewards over a wide range of amounts. Journal of the Experimental Analysis of Behavior, 100(3), 269–281. https://doi.org/10.1002/jeab.45. Green, L., Myerson, J., Shah, A. K., Estle, S. J., & Holt, D. D. (2007). Do adjusting‐amount and adjusting‐delay procedures produce equivalent estimates of subjective value in pigeons? Journal of the Experimental Analysis of Behavior, 87(3), 337–347. https://doi.org/10.1901/jeab.2007.37-06. Green, L., Myerson, J., & Vanderveldt, A. (2014). Delay and probability discounting. In F. K. McSweeney & E. S. Murphy (Eds.), The Wiley Blackwell handbook of operant and classical conditioning (pp. 307–337). Wiley. https://doi.org/10.1002/9781118468135.ch13. Herrnstein, R. J. (1970). 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Delay, probability, and social discounting in a public goods game. Journal of the Experimental Analysis of Behavior, 91(1), 61–73. https://doi.org/10.1901/jeab.2009.91-61. Madden, G. J., Begotka, A. M., Raiff, B. R., & Kastern, L. L. (2003). Delay discounting of real and hypothetical rewards. Experimental and Clinical Psychopharmacology, 11(2), 139–145. https://doi.org/10.1037/1064-1297.11.2.139. Madden, G. J., Raiff, B. R., Lagorio, C. H., Begotka, A. M., Mueller, A. M., Hehli, D. J., & Wegener, A. A. (2004). Delay discounting of potentially real and hypothetical rewards: II. between‐ and within‐subject comparisons. Experimental and Clinical Psychopharmacology, 12(4), 251–261. https://doi.org/10.1037/1064-1297.12.4.251. McKerchar, T. L., Green, L., & Myerson, J. (2010). On the scaling interpretation of exponents in hyperboloid models of delay and probability discounting. Behavioural Processes, 84(1), 440–444. https://doi.org/10.1016/j.beproc.2010.01.003. McNamara, J. 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| Grant Information: | RO1 MH055308 United States NH NIH HHS |
| Contributed Indexing: | Keywords: adjusting amount; concurrent chains; hyperboloid; pigeon; probability discounting |
| Entry Date(s): | Date Created: 20250715 Date Completed: 20250715 Latest Revision: 20250715 |
| Update Code: | 20260130 |
| DOI: | 10.1002/jeab.70042 |
| PMID: | 40662635 |
| Database: | MEDLINE |
| FullText | Links: – Type: other Url: https://resolver.ebsco.com:443/public/rma-ftfapi/ejs/direct?AccessToken=4407855222AC37C86D05&Show=Object Text: Availability: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Discounting of probabilistic food reinforcement by pigeons. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AU" term="%22Oliveira+L%22">Oliveira L</searchLink>; Department of Psychological & Brain Sciences, Washington University, St. Louis, MO, USA.<br /><searchLink fieldCode="AU" term="%22Green+L%22">Green L</searchLink>; Department of Psychological & Brain Sciences, Washington University, St. Louis, MO, USA.<br /><searchLink fieldCode="AU" term="%22Myerson+J%22">Myerson J</searchLink>; Department of Psychological & Brain Sciences, Washington University, St. Louis, MO, USA.<br /><searchLink fieldCode="AU" term="%22Wan+H%22">Wan H</searchLink>; Department of Psychological & Brain Sciences, Washington University, St. Louis, MO, USA. – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%220203727%22">Journal of the experimental analysis of behavior</searchLink> [J Exp Anal Behav] 2025 Jul; Vol. 124 (1), pp. e70042. – Name: TypePub Label: Publication Type Group: TypPub Data: Journal Article – Name: Language Label: Language Group: Lang Data: English – Name: TitleSource Label: Journal Info Group: Src Data: <i>Publisher: </i><searchLink fieldCode="PB" term="%22Wiley-Blackwell%22">Wiley-Blackwell </searchLink><i>Country of Publication: </i>United States <i>NLM ID: </i>0203727 <i>Publication Model: </i>Print <i>Cited Medium: </i>Internet <i>ISSN: </i>1938-3711 (Electronic) <i>Linking ISSN: </i><searchLink fieldCode="IS" term="%2200225002%22">00225002 </searchLink><i>NLM ISO Abbreviation: </i>J Exp Anal Behav <i>Subsets: </i>MEDLINE – Name: PublisherInfo Label: Imprint Name(s) Group: PubInfo Data: <i>Publication</i>: [Malden, MA] : Wiley-Blackwell<br /><i>Original Publication</i>: Waltham, Mass., Society for the Experimental Analysis of Behavior. – Name: SubjectMESH Label: MeSH Terms Group: Su Data: <searchLink fieldCode="MM" term="%22Delay+Discounting%22">Delay Discounting*</searchLink> <br /><searchLink fieldCode="MM" term="%22Reinforcement%2C+Psychology%22">Reinforcement, Psychology*</searchLink> <br /><searchLink fieldCode="MM" term="%22Choice+Behavior%22">Choice Behavior*</searchLink> <br /><searchLink fieldCode="MM" term="%22Probability+Learning%22">Probability Learning*</searchLink><br /><searchLink fieldCode="MH" term="%22Animals%22">Animals</searchLink> ; <searchLink fieldCode="MH" term="%22Columbidae%22">Columbidae</searchLink> ; <searchLink fieldCode="MH" term="%22Conditioning%2C+Operant%22">Conditioning, Operant</searchLink> ; <searchLink fieldCode="MH" term="%22Reinforcement+Schedule%22">Reinforcement Schedule</searchLink> ; <searchLink fieldCode="MH" term="%22Food%22">Food</searchLink> ; <searchLink fieldCode="MH" term="%22Probability%22">Probability</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Two experiments examined pigeons' discounting of probabilistic food reinforcers using a concurrent-chains procedure within sessions combined with an adjusting-amount procedure across sessions. The study is the first to evaluate probability discounting functions in nonhuman animals in which the obtained probability equaled that programmed in each session. In Experiment 1, pigeons chose between a smaller, certain and a larger, but probabilistic food reinforcer. In Experiment 2, the probabilities of receiving both reinforcement options were reduced by a common factor, creating a choice situation in which both options were probabilistic: a smaller, more probable reinforcer and a larger, but less probable reinforcer. Results revealed that regardless of whether choices involved a certain versus a probabilistic reinforcer or they involved two probabilistic reinforcers, subjective value decreased systematically as a function of the odds against receipt of the reinforcer and that the data were well described by the hyperboloid discounting function. In addition, no significant effect of reinforcer amount on degree of probability discounting was observed, consistent with results from studies of the discounting of delayed reinforcers by nonhuman animals.<br /> (© 2025 Society for the Experimental Analysis of Behavior.) – Name: Ref Label: References Group: RefInfo Data: Alsop, B., & Davison, M. (1986). Preference for multiple versus mixed schedules of reinforcement. Journal of the Experimental Analysis of Behavior, 45(1), 33–45. https://doi.org/10.1901/jeab.1986.45-33.<br />Autor, S. M. (1969). The strength of conditioned reinforcers as a function of frequency and probability of reinforcement. In D. Hendry (Ed.), Conditioned reinforcement (pp. 127–162). Dorsey Press.<br />Baker, F., Johnson, M. W., & Bickel, W. K. (2003). Delay discounting in current and never‐before cigarette smokers: Similarities and differences across commodity, sign, and magnitude. Journal of Abnormal Psychology, 112(3), 382–392. https://doi.org/10.1037/0021-843X.112.3.382.<br />Bickel, W. K., Odum, A. L., & Madden, G. J. (1999). Impulsivity and cigarette smoking: Delay discounting in current, never, and ex‐smokers. Psychopharmacology, 146(4), 447–454. https://doi.org/10.1007/PL00005490.<br />Bodeker, R. R. H., & Grace, R. C. (2024a). Effects of methamphetamine on delay discounting in rats using concurrent chains. Learning & Behavior. https://doi.org/10.3758/s13420-024-00657-w.<br />Bodeker, R. R. H., & Grace, R. C. (2024b). Effects of methamphetamine on probability discounting in rats using concurrent chains. Behavioural Processes, 214, Article 104971. https://doi.org/10.1016/j.beproc.2023.104971.<br />Brown, P. L., & Jenkins, H. M. (1968). Auto‐shaping of the pigeon's key‐peck. Journal of the Experimental Analysis of Behavior, 11(1), 1–8. https://doi.org/10.1901/jeab.1968.11-1.<br />Bürkner, P.‐C. (2017). brms: An R package for Bayesian multilevel models using Stan. Journal of Statistical Software, 80(1), 1–28. https://doi.org/10.18637/jss.v080.i01.<br />Calvert, A. L., Green, L., & Myerson, J. (2010). Delay discounting of qualitatively different reinforcers in rats. Journal of the Experimental Analysis of Behavior, 93(2), 171–184. https://doi.org/10.1901/jeab.2010.93-171.<br />Caraco, T., Martindale, S., & Whittam, T. S. (1980). An empirical demonstration of risk‐sensitive foraging preferences. Animal Behaviour, 28(3), 820–830. https://doi.org/10.1016/S0003-3472(80)80142-4.<br />Carpenter, B., Gelman, A., Hoffman, M. D., Lee, D., Goodrich, B., Betancourt, M., Brubaker, M. A., Guo, J., Li, P., & Riddell, A. (2017). Stan: A probabilistic programming language. Journal of Statistical Software, 76, Article 1. 10.18637/jss.v076.i01.<br />Davison, M., & Jenkins, P. E. (1985). Stimulus discriminability, contingency discriminability, and schedule performance. Animal Learning & Behavior, 13(1), 77–84. https://doi.org/10.3758/BF03213368.<br />Douma, J. C., & Weedon, J. T. (2019). Analysing continuous proportions in ecology and evolution: A practical introduction to beta and Dirichlet regression. Methods in Ecology and Evolution, 10(9), 1412–1430. https://doi.org/10.1111/2041-210X.13234.<br />Du, W., Green, L., & Myerson, J. (2002). Cross‐cultural comparisons of discounting delayed and probabilistic rewards. The Psychological Record, 52(4), 479–492. https://doi.org/10.1007/BF03395199.<br />Estle, S. J., Green, L., Myerson, J., & Holt, D. D. (2006). Differential effects of amount on temporal and probability discounting of gains and losses. Memory & Cognition, 34(4), 914–928. https://doi.org/10.3758/BF03193437.<br />Fleshler, M., & Hoffman, H. S. (1962). A progression for generating variable‐interval schedules. Journal of the Experimental Analysis of Behavior, 5(4), 529–530. https://doi.org/10.1901/jeab.1962.5-529.<br />Freeman, K. B., Nonnemacher, J. E., Green, L., Myerson, J., & Woolverton, W. L. (2012). Delay discounting in rhesus monkeys: Equivalent discounting of more and less preferred sucrose concentrations. Learning & Behavior, 40(1), 54–60. https://doi.org/10.3758/s13420-011-0045-3.<br />Gabry, J., & Češnovar, R. (2022). cmdstanr: R interface to CmdStan [Computer software]. https://mc-stan.org/cmdstanr/.<br />Grace, R. C., & McLean, A. P. (2015). Evidence for a magnitude effect in probability discounting with pigeons. Journal of Experimental Psychology: Animal Learning and Cognition, 41(4), 406–418. https://doi.org/10.1037/xan0000077.<br />Grace, R. C., Sargisson, R. J., & White, K. G. (2012). Evidence for a magnitude effect in temporal discounting with pigeons. Journal of Experimental Psychology: Animal Behavior Processes, 38(1), 102–108. https://doi.org/10.1037/a0026345.<br />Green, L., & Myerson, J. (2004). A discounting framework for choice with delayed and probabilistic rewards. Psychological Bulletin, 130(5), 769–792. https://doi.org/10.1037/0033-2909.130.5.769.<br />Green, L., Myerson, J., & Calvert, A. L. (2010). Pigeons' discounting of probabilistic and delayed reinforcers. Journal of the Experimental Analysis of Behavior, 94(2), 113–123. https://doi.org/10.1901/jeab.2010.94-113.<br />Green, L., Myerson, J., Holt, D. D., Slevin, J. R., & Estle, S. J. (2004). Discounting of delayed food rewards in pigeons and rats: Is there a magnitude effect? Journal of the Experimental Analysis of Behavior, 81(1), 39–50. https://doi.org/10.1901/jeab.2004.81-39.<br />Green, L., Myerson, J., Oliveira, L., & Chang, S. E. (2013). Delay discounting of monetary rewards over a wide range of amounts. Journal of the Experimental Analysis of Behavior, 100(3), 269–281. https://doi.org/10.1002/jeab.45.<br />Green, L., Myerson, J., Shah, A. K., Estle, S. J., & Holt, D. D. (2007). Do adjusting‐amount and adjusting‐delay procedures produce equivalent estimates of subjective value in pigeons? Journal of the Experimental Analysis of Behavior, 87(3), 337–347. https://doi.org/10.1901/jeab.2007.37-06.<br />Green, L., Myerson, J., & Vanderveldt, A. (2014). Delay and probability discounting. In F. K. McSweeney & E. S. Murphy (Eds.), The Wiley Blackwell handbook of operant and classical conditioning (pp. 307–337). Wiley. https://doi.org/10.1002/9781118468135.ch13.<br />Herrnstein, R. J. (1970). On the law of effect. Journal of the Experimental Analysis of Behavior, 13(2), 243–266. https://doi.org/10.1901/jeab.1970.13-243.<br />Holt, D. D., Green, L., & Myerson, J. (2003). Is discounting impulsive? Evidence from temporal and probability discounting in gambling and non‐gambling college students. Behavioural Processes, 64(3), 355–367. https://doi.org/10.1016/S0376-6357(03)00141-4.<br />Johnson, M. W., & Bickel, W. K. (2002). Within‐subject comparison of real and hypothetical money rewards in delay discounting. Journal of the Experimental Analysis of Behavior, 77(2), 129–146. https://doi.org/10.1901/jeab.2002.77-129.<br />Johnson, M. W., Strickland, J. C., Herrmann, E. S., Dolan, S. B., Cox, D. J., & Berry, M. S. (2021). Sexual discounting: A systematic review of discounting processes and sexual behavior. Experimental and Clinical Psychopharmacology, 29(6), 711–738. https://doi.org/10.1037/pha0000402.<br />Jones, B. A., & Rachlin, H. (2009). Delay, probability, and social discounting in a public goods game. Journal of the Experimental Analysis of Behavior, 91(1), 61–73. https://doi.org/10.1901/jeab.2009.91-61.<br />Madden, G. J., Begotka, A. M., Raiff, B. R., & Kastern, L. L. (2003). Delay discounting of real and hypothetical rewards. Experimental and Clinical Psychopharmacology, 11(2), 139–145. https://doi.org/10.1037/1064-1297.11.2.139.<br />Madden, G. J., Raiff, B. R., Lagorio, C. H., Begotka, A. 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