Abstract
We investigated how the contingent delivery of a cultural consequence on target culturants in an asymmetric iterated prisoner’s dilemma game (IPDG) affected players’ choices to cooperate. The asymmetric IPDG creates an analogue to environmental conditions in which behaviors and cultural practices create and sustain income disparities among different members of the population more generally. The asymmetric IPDG allows researchers to explore how these inequalities affect cooperation between players experiencing unequal payoffs. Six undergraduate students divided into three dyads participated in an ABABCDCD reversal design. An asymmetric IPDG in conditions A and C ensured that one player received a greater number of points regardless of the second participant's choices, analogous to contingencies that produce income inequalities. In conditions B and D, a metacontingency was arranged such that delivery of a cultural consequence (CC; bonus points equally distributed among the dyad) was contingent on the oscillating production of target aggregate products (APs) across two consecutive cycles. When participants coordinated responding and contacted the target AP → CC relation, the point disparity was reduced. However, individual contingencies in direct competition for the favored player were arranged to reduce the probability of cooperative responding. Results showed that the CC selected certain oscillations between target APs across dyads resulting in a decrease in the point disparity between the players. This study illustrates how laboratory scientists can arrange experiments that capture some of the complexity of social behavior as it occurs with respect to cultural, political, and economic systems and the associated networks of contingencies.
Similar content being viewed by others
Data availability
The data sets generated during and analyzed in the current study are available from Traci M. Cihon on reasonable request.
Notes
Researchers and clinicians working in educational settings have also been interested in cooperation, often employing “group contingencies” which are defined as “reinforcement procedures where a common consequence (i.e., reward) is contingent on the performance of one, a small number of, or all members of a group” (Page et al., 2021, p. 1; see Collins et al., 2019, for an overview). Group contingencies may be independent (the same consequence is available for each member of the group and is contingent on individual performance), dependent (the shared consequence is contingent on the performance of only some of the members of the group), or interdependent (the shared consequence is contingent on the performance of all members of the group). Group contingencies, and especially interdependent group contingencies like those employed in the good behavior game (e.g., Barrish et al., 1969), have been effective in promoting cooperative behaviors among students in classroom settings. However, there has been limited exploration of the effects of group contingencies on the cooperative behavior of adults (Page et al., 2021). Nonetheless, readers interested in strategies to promote cooperation are encouraged to review the literature related to group contingencies in addition to the research on social behavior.
References
Ahn, T. K., Lee, M., & Ruttan, L. (2007). Asymmetric payoffs in simultaneous and sequential prisoner’s dilemma games. Public Choice, 132, 353–366. https://doi.org/10.1007/s11127-007-9158-9
Ardila Sánchez, J. G., Houmanfar, R. A., & Alavosius, M. P. (2019). A descriptive analysis of the effects of weather disasters on community resilience. Behavior and Social Issues, 28(1), 298–315. https://doi.org/10.1007/s42822-019-00015-w
Azrin, N. H., & Lindsley, O. R. (1956). The reinforcement of cooperation between children. Journal of Abnormal and Social Psychology, 52(1), 100–102. https://doi.org/10.1037/h0042490
Baia, F. H., Azevedo, F. F., Segantini, S. M., Macedo, R. P., & Vasconcelos, L. A. (2015). O efeito de diferentes tipos de consequencias culturais na selecao de culturantes [Effects of different kinds of cultural consequences on cultural selection]. Revista Brasileira de Analise Do Comportamento, 11(2), 157–169. https://doi.org/10.18542/rebac.v11i2.1528
Barrish, H. H., Saunders, M., & Wolf, M. M. (1969). Good behavior game: Effects of individual contingencies for group consequences on disruptive behavior in a classroom. Journal of Applied Behavior Analysis, 2(2), 119–124. https://doi.org/10.1901/jaba.1969.2-119
Beckenkamp, M., Hennig-Schmidt, K., & Maier-Rigaud, P. F. (2007). Cooperation in symmetric and asymmetric prisoner’s dilemma games. Preprints of the Max Planck Institute for Research on Collective Goods Bonn 2006/25. https://doi.org/10.2139/ssrn.968942
Bento, F., Tagliabue, M., & Sandaker, I. (2020). Complex systems and social behavior: Bridging social networks and behavior analysis. In T. M. Cihon & M. A. Mattaini (Eds.), Behavior science perspectives on culture and community (pp. 67–91). Springer. https://doi.org/10.1007/978-3-030-45421-0_4
Borba, A., Tourinho, E. Z., & Glenn, S. S. (2017). Effects of cultural consequences on the interlocking behavioral contingencies of ethical self-control. The Psychological Record, 67, 399–411. https://doi.org/10.1007/s40732-017-0231-6
Camerer, C. F., & Fehr, E. (2004). Measuring social norms and preferences using experimental games: A guide for social scientists. In J. Henrich, R. Boyd, S. Bowles, C. Camerer, E. Fehr, & H. Gintis (Eds.), Foundations of human sociality: Economic experiments and ethnographic evidence from fifteen small-scale societies (pp. 55–95). Oxford University Press.
Cihon, T. M., Borba, A., Lopez, C., Kazaoka, K., & Carvahlo, L. (2020). Experimental analysis in culturo-behavior science: The search for basic processes. In T. M. Cihon & M. A. Mattaini (Eds.), Behavior science perspectives on culture and community (pp. 119–150). Springer.
Cohen, D. (1962). Justin and his peers: An experimental analysis of a child’s social world. Child Development, 33(3), 697–717 https://www.jstor.org/stable/1126668
Collins, T. A., Hawkins, R. O., Heidelburg, K., & Hill, K. (2019). Group contingencies. In K. C. Radley & E. H. Dart (Eds.), Handbook of behavioral interventions in schools: Multi-tiered systems of support (pp. 204–233). Oxford University Press. https://doi.org/10.1093/med-psych/9780190843229.003.0011
Cooper, S., DeJong, D. V., Forsythe, R., & Ross, T. W. (1996). Cooperation without reputation: Experimental evidence from prisoner’s dilemma games. Games and Economic Behavior, 12(2), 189–218. https://doi.org/10.1006/game.1996.0013
Costa, D., Nogueira, C. P. V., & Abreu-Vasconcelos, L. (2012). Effects of communication and cultural consequences on choices combinations in INPDG with four participants. Revista Latinoamericana de Psicología, 44(1), 121–131.
Croson, R. T. A. (1999). The disjunction effect and reason-based choice in games. Organizational Behavior and Human Decision Processes, 80(2), 118–133. https://doi.org/10.1006/obhd.1999.2846
Dawes, R. M. (1975). Formal models of dilemmas in social decision-making. In M. F. Kaplan, & S. Schwartz (Eds.), Human judgement and decision processes (pp. 87–107). Elsevier Ltd. https://doi.org/10.1016/b978-0-12-397250-7.50010-6
Dawes, R. M. (1980). Social dilemmas. Annual Review of Psychology, 31(1), 169–193. https://doi.org/10.1146/annurev.ps.31.020180.001125
de Toledo, T. F. N., Benvenuti, M. F. L., Sampaio, A. A. S., Marques, N. S., dos Anjos Cabral, P. A., de Souza Araújo, L. A., Machado, L. R., & Moreira, L. R. (2015). Free culturant: A software for the experimental study of behavioral and cultural selection. Psychology & Neuroscience, 8(3), 366–384. https://doi.org/10.1037/pne0000016
Ferster, C. B. (1953). The use of the free operant in the analysis of behavior. Psychological Bulletin, 50(4), 263–274. https://doi.org/10.1037/h0055514
Glenn, S. S. (1988). Contingencies and metacontingencies: Toward a synthesis of behavior analysis and cultural materialism. The Behavior Analyst, 11(2), 161–179. https://doi.org/10.1007/bf03392470
Glenn, S. S. (1991). Contingencies and metacontingencies: Relations among behavioral, cultural, and biological evolution. In P. A. Lamal (Ed.), Behavioral analysis of societies and cultural practices (pp. 39–73). Hemisphere Press.
Glenn, S. S. (2004). Individual behavior, culture, and social change. The Behavior Analyst, 27(2), 133–151. https://doi.org/10.1007/bf03393175
Glenn, S. S., & Malott, M. E. (2004). Complexity and selection: Implications for organizational change. Behavior and Social Issues, 13(2), 89–106. https://doi.org/10.5210/bsi.v13i2.378
Glenn, S. S., Malott, M. E., Andery, M. A. P. A., Benvenuti, M., Houmanfar, R. A., Sandaker, I., Todorov, J. C., Tourinho, E. Z., & Vasconcelos, L. A. (2016). Toward consistent terminology in a behaviorist approach to cultural analysis. Behavior & Social Issues, 25, 11–27. https://doi.org/10.5210/bsi.v25i0.6634
Houmanfar, R., Rodrigues, N. J., & Ward, T. A. (2010). Emergence and metacontingency: Points of contact and departure. Behavior and Social Issues, 19(1), 53–78. https://doi.org/10.5210/bsi.v19i0.3065
Houmanfar, R. A., Ardila Sánchez, J. G., & Alavosius, M. P. (2020). Role of cultural milieu in cultural change: Mediating factor in points of contact. In T. M. Cihon & M. A. Mattaini (Eds.), Behavior science perspectives on culture and community (pp. 151–170). Springer. https://doi.org/10.1007/978-3-030-45421-0_7
Hunter, C. S. (2012). Analyzing behavioral and cultural selection contingencies. Revista Latinoamericana de Psicologia, 44(1), 43–54.
Liebrand, W. B. G. (1983). A classification of social dilemma games. Simulation & Games, 14(2), 123–138. https://doi.org/10.1177/104687818301400201
Mace, F. C., & Critchfield, T. S. (2010). Translational research in behavior analysis: Historical traditions and imperative for the future. Journal of Experimental Analysis of Behavior, 93(3), 293–312. https://doi.org/10.1901/jeab.2010.93-293
Mattaini, M. A. (2019). Out of the lab: Shaping an ecological and constructional cultural systems science. Perspectives on Behavior Science, 42(4), 713–731. https://doi.org/10.1007/s40614-019-00208-z
Mattaini, M. A. (2020). Cultural systems analysis: An emerging science. In T. M. Cihon & M. A. Mattaini (Eds.), Behavior science perspectives on culture and community (pp. 43–65). Springer. https://doi.org/10.1007/978-3-030-45421-0_3
Morford, Z. H., & Cihon, T. M. (2013). Developing an experimental analysis of metacontingencies: Considerations regarding cooperation in a four-person prisoner’s dilemma game. Behavior and Social Issues, 22, 5–20. https://doi.org/10.5210/bsi.v22i0.4207
Nogueira, E. E., & Vasconcelos, L. A. (2015). De macrocontingências à metacontingências no jogo dilema dos comuns [From macrocontingencies to metacontingencies in the commons dilemma game]. Revista Brasileira de Análise do Comportamento, 11(2), 104–116. https://doi.org/10.18542/rebac.v11i2.1941
Ortu, D., Becker, A. M., Woelz, T. A. R., & Glenn, S. S. (2012). An iterated four-player prisoner’s dilemma game with an external selecting agent: A metacontingency experiment. Revista Latinoamericana de Psicología, 44(1), 111–120.
Owen, G. (2003). Game theory. In R. A. Meyers (Ed.), Encyclopedia of physical science and technology (3rd ed., pp. 389–396). Academic Press.
Page, S. V., Zimmerman, D. M., & Pinkelman, S. E. (2021). A systematic review of dependent group contingencies (1970–2019). Journal of Positive Behavior Interventions. Advance online publication. https://doi.org/10.1177/10983007211054519
Pavanelli, S., Leite, F. L., & Tourinho, E. Z. (2014). A “modelagem” de contingencias comportamentais [The “shaping” of complex interlocking behavioral contingencies]. Acta Comportamentalia, 22, 425–440.
Rapoport, A., & Chammah, A. M. (1965). Sex differences in factors contributing to the level of cooperation in the prisoner’s dilemma game. Journal of Personality and Social Psychology, 2(6), 831–838. https://doi.org/10.1037/h0022678
Robinson, D. R., & Goforth, D. J. (2004, June 4–6). Alibi games: The asymmetric prisoner’s dilemmas. In Meetings of the Canadian Economics Association. Blackwell.
Saconatto, A., & Andery, M. A. P. A. (2013). Seleção por metacontingências: Um análogo experimental de reforçamento negativo [Selection by metacontingencies: An experimental analog of negative reinforcement]. Interação em Psicologia, 17(1), 1–10. https://doi.org/10.5380/psi.v17i1.26779
Schmitt, D. R. (1998). Social behavior. In K. A. Lattal & M. Perone (Eds.), Handbook of research methods in human operant behavior (pp. 471–505). Plenum Press. https://doi.org/10.1007/978-1-4899-1947-2_15
Schmitt, D. R., & Marwell, G. (1968). Stimulus control in the experimental study of cooperation. Journal of the Experimental Analysis of Behavior, 11(5), 571–574. https://doi.org/10.1901/jeab.1968.11-571
Selten, R., & Stoecker, R. (1986). End behavior in sequences of finite prisoner’s dilemma supergames a learning theory approach. Journal of Economic Behavior & Organization, 7(1), 47–70. https://doi.org/10.1016/0167-2681(86)90021-1
Sheposh, J. P., & Gallo, P. S. (1973). Asymmetry of payoff structure and cooperative behavior in the prisoner’s dilemma game. Journal of Conflict Resolution, 17(2), 321–333. https://doi.org/10.1177/002200277301700208
Sidman, M. (1989). Coercion and its fallout. Authors Cooperative.
Skinner, B. F. (1953). Science and human behavior. Macmillan.
Skinner, B. F. (1962). Two “synthetic social relations”. Journal of the Experimental Analysis of Behavior, 5(4), 531–533. https://doi.org/10.1901/jeab.1962.5-531
Skinner, B. F. (1981). Selection by consequences. Science, 213, 501–504. https://doi.org/10.1126/science.7244649
Suarez, C. J., Benvenuti, M. F., Couto, K. C., Siqueira, J. O., Abreu-Rodrigues, J., Lionello-DeNolf, K. M., & Sandaker, I. (2021). Reciprocity with unequal payoffs: Cooperative and uncooperative interactions affect disadvantageous inequity aversion. Frontiers in Psychology, 12. https://doi.org/10.3389/fpsyg.2021.628425
Tadaiesky, L. T., & Tourinho, E. Z. (2012). Effects of support consequences and cultural consequences on the selection of interlocking behavioral contingencies. Revista Latinoamericana de Psicologia, 44, 133–147.
Todorov, J., & Vasconcelos, I. (2015). Experimental analysis of the behavior of persons in groups: Selection of an aggregate product in a metacontingency. Behavior and Social Issues, 24, 111–125. https://doi.org/10.5210/bsi.v24i0.5424
Vichi, C., Andery, M. A. P. A., & Glenn, S. S. (2009). A metacontingency experiment: The effects of contingent consequences on patterns of interlocking contingencies of reinforcement. Behavior and Social Issues, 18, 41–57. https://doi.org/10.5210/bsi.v18i1.2292
Zilio, D. (2019). On the function of science: An overview of 30 years of publications on metacontingency. Behavior and Social Issues, 28, 46–76. https://doi.org/10.1007/s42822-019-00006-x
Acknowledgments
This study was conducted in partial fulfillment of Carlos R. Lopez’s master’s degree requirements at the University of North Texas. Portions of this article were presented at the annual Association for Behavior Analysis International conventions in 2020 and 2021, the Culturo-Behavior Science for a Better World conference in 2020, and the 2021 conference of the American Psychological Association, Division 25.
Funding
This study was not conducted with support from any funding mechanism.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
All authors declare that they do not have any conflicts of interest.
Ethical approval
All procedures performed in studies involving human participants were in accordance with the ethical standards of the institutional and/or national research committee and with the 1964 Helsinki declaration and its later amendments or comparable ethical standards.
Informed consent
Informed consent was obtained from all individual participants included in the study.
Rights and permissions
About this article
Cite this article
Lopez, C.R., Cihon, T.M., de Borba Vasconcelos Neto, A. et al. An Exploration of Cooperation During an Asymmetric Iterated Prisoner’s Dilemma Game. Behav. Soc. Iss. 31, 106–132 (2022). https://doi.org/10.1007/s42822-021-00086-8
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s42822-021-00086-8