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Economic Harmony—A Rational Theory of Fairness and Cooperation in Strategic Interactions

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  • Ramzi Suleiman

    (Department of Psychology, University of Haifa, Abba Khoushy Avenue 199, Haifa 3498838, Israel)

Abstract

Experimental studies show that the Nash equilibrium and its refinements are poor predictors of behavior in non-cooperative strategic games. Cooperation models, such as ERC and inequality aversion, yield superior predictions compared to the standard game theory predictions. However, those models are short of providing a general theory of behavior in economic interactions. In two previous articles, we proposed a rational theory of behavior in non-cooperative games, termed Economic Harmony theory (EH). In EH, we retained the rationality principle but modified the players’ utilities by defining them as functions of the ratios between their actual and aspired payoffs. We also abandoned the equilibrium concept in favor of the concept of “harmony,” defined as the intersection of strategies at which all players are equally satisfied. We derived and tested the theory predictions of behavior in the ultimatum game, the bargaining game with alternating offers, and the sequential common-pool resource dilemma game. In this article, we summarize the main tenets of EH and its previous predictions and test its predictions for behaviors in the public goods game and the trust game. We demonstrate that the harmony solutions account well for the observed fairness and cooperation in all the tested games. The impressive predictions of the theory, without violating the rationality principle nor adding free parameters, indicate that the role of benevolent sentiments in promoting fairness and cooperation in the discussed games is only marginal. Strikingly, the Golden Ratio, known for its aesthetically pleasing properties, emerged as the point of fair demands in the ultimatum game, the sequential bargaining game with alternating offers, and the sequential CPR dilemma game. The emergence of the golden ratio as the fairness solution in these games suggests that our perception of fairness and beauty are correlated. Because the harmony predictions underwent post-tests, future experiments are needed for conducting ex ante tests of the theory in the discussed games and in other non-cooperative games. Given the good performance of economic harmony where game theory fails, we hope that experimental economists and other behavioral scientists undertake such a task.

Suggested Citation

  • Ramzi Suleiman, 2022. "Economic Harmony—A Rational Theory of Fairness and Cooperation in Strategic Interactions," Games, MDPI, vol. 13(3), pages 1-21, April.
  • Handle: RePEc:gam:jgames:v:13:y:2022:i:3:p:34-:d:798949
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    as
    1. Hoffman Elizabeth & McCabe Kevin & Shachat Keith & Smith Vernon, 1994. "Preferences, Property Rights, and Anonymity in Bargaining Games," Games and Economic Behavior, Elsevier, vol. 7(3), pages 346-380, November.
    2. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    3. Claudia Keser & Roy Gardner, 1999. "Strategic behavior of experienced subjects in a common pool resource game," International Journal of Game Theory, Springer;Game Theory Society, vol. 28(2), pages 241-252.
    4. John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384, April.
    5. Binmore, Ken & McCarthy, John & Ponti, Giovanni & Samuelson, Larry & Shaked, Avner, 2002. "A Backward Induction Experiment," Journal of Economic Theory, Elsevier, vol. 104(1), pages 48-88, May.
    6. Kahneman, Daniel & Knetsch, Jack L & Thaler, Richard H, 1986. "Fairness and the Assumptions of Economics," The Journal of Business, University of Chicago Press, vol. 59(4), pages 285-300, October.
    7. Cox, James C., 2004. "How to identify trust and reciprocity," Games and Economic Behavior, Elsevier, vol. 46(2), pages 260-281, February.
    8. Weg, Eythan & Zwick, Rami, 1994. "Toward the settlement of the fairness issues in ultimatum games : A bargaining approach," Journal of Economic Behavior & Organization, Elsevier, vol. 24(1), pages 19-34, June.
    9. Ochs, Jack & Roth, Alvin E, 1989. "An Experimental Study of Sequential Bargaining," American Economic Review, American Economic Association, vol. 79(3), pages 355-384, June.
    10. Mohamed Ali Bchir & Anne Rozan & Marc Willinger, 2012. "Does higher trust lead to higher performance? An experimental investigation," Economics Bulletin, AccessEcon, vol. 32(3), pages 1873-1877.
    11. Johnson, Noel D. & Mislin, Alexandra A., 2011. "Trust games: A meta-analysis," Journal of Economic Psychology, Elsevier, vol. 32(5), pages 865-889.
    12. Harrison, Glenn W & Hirshleifer, Jack, 1989. "An Experimental Evaluation of Weakest Link/Best Shot Models of Public Goods," Journal of Political Economy, University of Chicago Press, vol. 97(1), pages 201-225, February.
    13. Ernst Fehr & Klaus M. Schmidt, 1999. "A Theory of Fairness, Competition, and Cooperation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(3), pages 817-868.
    14. Axel Ockenfels & Gary E. Bolton, 2000. "ERC: A Theory of Equity, Reciprocity, and Competition," American Economic Review, American Economic Association, vol. 90(1), pages 166-193, March.
    15. Forsythe Robert & Horowitz Joel L. & Savin N. E. & Sefton Martin, 1994. "Fairness in Simple Bargaining Experiments," Games and Economic Behavior, Elsevier, vol. 6(3), pages 347-369, May.
    16. Ernst Fehr & Simon Gächter, 2002. "Altruistic punishment in humans," Nature, Nature, vol. 415(6868), pages 137-140, January.
    17. Budescu David V. & Rapoport Amnon & Suleiman Ramzi, 1995. "Common Pool Resource Dilemmas under Uncertainty: Qualitative Tests of Equilibrium Solutions," Games and Economic Behavior, Elsevier, vol. 10(1), pages 171-201, July.
    18. Neelin, Janet & Sonnenschein, Hugo & Spiegel, Matthew, 1988. "A Further Test of Noncooperative Bargaining Theory: Comment," American Economic Review, American Economic Association, vol. 78(4), pages 824-836, September.
    19. Rui Cong & Bin Wu & Yuanying Qiu & Long Wang, 2012. "Evolution of Cooperation Driven by Reputation-Based Migration," PLOS ONE, Public Library of Science, vol. 7(5), pages 1-7, May.
    20. R. Mark Isaac & James M. Walker, 1988. "Group Size Effects in Public Goods Provision: The Voluntary Contributions Mechanism," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 103(1), pages 179-199.
    21. Vernon L. Smith, 1962. "An Experimental Study of Competitive Market Behavior," Journal of Political Economy, University of Chicago Press, vol. 70(2), pages 111-111.
    22. Suleiman, Ramzi, 1996. "Expectations and fairness in a modified Ultimatum game," Journal of Economic Psychology, Elsevier, vol. 17(5), pages 531-554, November.
    23. Ernst Fehr & Urs Fischbacher, 2003. "The nature of human altruism," Nature, Nature, vol. 425(6960), pages 785-791, October.
    24. Spiegel Matthew & Currie Janet & Sonnenschein Hugo & Sen Arunava, 1994. "Understanding When Agents Are Fairmen or Gamesmen," Games and Economic Behavior, Elsevier, vol. 7(1), pages 104-115, July.
    25. Kirchsteiger, Georg, 1994. "The role of envy in ultimatum games," Journal of Economic Behavior & Organization, Elsevier, vol. 25(3), pages 373-389, December.
    26. Andreas Ortmann & John Fitzgerald & Carl Boeing, 2000. "Trust, Reciprocity, and Social History: A Re-examination," Experimental Economics, Springer;Economic Science Association, vol. 3(1), pages 81-100, June.
    27. van de Kragt, Alphons J. C. & Orbell, John M. & Dawes, Robyn M., 1983. "The Minimal Contributing Set as a Solution to Public Goods Problems," American Political Science Review, Cambridge University Press, vol. 77(1), pages 112-122, March.
    28. Berg Joyce & Dickhaut John & McCabe Kevin, 1995. "Trust, Reciprocity, and Social History," Games and Economic Behavior, Elsevier, vol. 10(1), pages 122-142, July.
    29. Budescu, David V. & Au, Wing Tung & Chen, Xiao-Ping, 1997. "Effects of Protocol of Play and Social Orientation on Behavior in Sequential Resource Dilemmas," Organizational Behavior and Human Decision Processes, Elsevier, vol. 69(3), pages 179-193, March.
    30. Hessel Oosterbeek & Randolph Sloof & Gijs van de Kuilen, 2004. "Cultural Differences in Ultimatum Game Experiments: Evidence from a Meta-Analysis," Experimental Economics, Springer;Economic Science Association, vol. 7(2), pages 171-188, June.
    31. Jonathan Newton, 2018. "Evolutionary Game Theory: A Renaissance," Games, MDPI, vol. 9(2), pages 1-67, May.
    32. Ramzi Suleiman, 2017. "Economic Harmony: An Epistemic Theory of Economic Interactions," Games, MDPI, vol. 8(1), pages 1-15, January.
    33. Budescu, David V. & Suleiman, Ramzi & Rapoport, Amnon, 1995. "Positional Order and Group Size Effects in Resource Dilemmas with Uncertain Resources," Organizational Behavior and Human Decision Processes, Elsevier, vol. 61(3), pages 225-238, March.
    34. Roy Gardner & Elinor Ostrom & James M. Walker, 1990. "The Nature of Common-Pool Resource Problems," Rationality and Society, , vol. 2(3), pages 335-358, July.
    35. Vernon L. Smith, 2020. "Trust, reciprocity, and social history: New pathways of learning when max U (own reward) fails decisively," Working Papers 20-28, Chapman University, Economic Science Institute.
    36. Valerio Capraro, 2013. "A Model of Human Cooperation in Social Dilemmas," PLOS ONE, Public Library of Science, vol. 8(8), pages 1-6, August.
    37. Rapoport, Amnon, 1985. "Provision of Public Goods and the MCS Experimental Paradigm," American Political Science Review, Cambridge University Press, vol. 79(1), pages 148-155, March.
    38. Jasso, Guillermina, 2007. "Theoretical Unification in Justice and Beyond," IZA Discussion Papers 2641, Institute of Labor Economics (IZA).
    39. Binmore, K & Shaked, A & Sutton, J, 1985. "Testing Noncooperative Bargaining Theory: A Preliminary Study," American Economic Review, American Economic Association, vol. 75(5), pages 1178-1180, December.
    40. Isaac, R. Mark & Walker, James M. & Williams, Arlington W., 1994. "Group size and the voluntary provision of public goods : Experimental evidence utilizing large groups," Journal of Public Economics, Elsevier, vol. 54(1), pages 1-36, May.
    41. Weg, Eythan & Rapoport, Amnon & Felsenthal, Dan S., 1990. "Two-person bargaining behavior in fixed discounting factors games with infinite horizon," Games and Economic Behavior, Elsevier, vol. 2(1), pages 76-95, March.
    42. Elinor Ostrom, 2009. "Building Trust to Solve Commons Dilemmas: Taking Small Steps to Test an Evolving Theory of Collective Action," Springer Series in Game Theory, in: Simon A. Levin (ed.), Games, Groups, and the Global Good, pages 207-228, Springer.
    43. Harrison, Glenn W & McCabe, Kevin A, 1996. "Expectations and Fairness in a Simple Bargaining Experiment," International Journal of Game Theory, Springer;Game Theory Society, vol. 25(3), pages 303-327.
    44. Johnson, Eric J. & Camerer, Colin & Sen, Sankar & Rymon, Talia, 2002. "Detecting Failures of Backward Induction: Monitoring Information Search in Sequential Bargaining," Journal of Economic Theory, Elsevier, vol. 104(1), pages 16-47, May.
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