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The Evolution of Cooperative Strategies for Asymmetric Social Interactions

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  • Jörg Rieskamp
  • Peter Todd

Abstract

How can cooperation be achieved between self-interested individuals in commonly-occurring asymmetric interactions where agents have different positions? Should agents use the same strategies that are appropriate for symmetric social situations? We explore these questions through the asymmetric interaction captured in the indefinitely repeated investment game (IG). In every period of this game, the first player decides how much of an endowment he wants to invest, then this amount is tripled and passed to the second player, who finally decides how much of the tripled investment she wants to return to the first player. The results of three evolutionary studies demonstrate that the best-performing strategies for this asymmetric game differ from those for a similar but symmetric game, the indefinitely repeated Prisoner’s dilemma game. The strategies that enable cooperation for the asymmetric IG react more sensitively to exploitation, meaning that cooperation can more easily break down. Furthermore, once cooperation has stopped, it is much more difficult to reestablish than in symmetric situations. Based on these results, the presence of asymmetry in an interaction appears to be an important factor affecting adaptive behavior in these common social situations. Copyright Springer 2006

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  • Jörg Rieskamp & Peter Todd, 2006. "The Evolution of Cooperative Strategies for Asymmetric Social Interactions," Theory and Decision, Springer, vol. 60(1), pages 69-111, February.
  • Handle: RePEc:kap:theord:v:60:y:2006:i:1:p:69-111
    DOI: 10.1007/s11238-005-6014-6
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    References listed on IDEAS

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    1. 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.
    2. Selten, Reinhard, 1983. "Evolutionary stability in extensive two-person games," Mathematical Social Sciences, Elsevier, vol. 5(3), pages 269-363, September.
    3. Robert Hoffmann, 1999. "The Independent Localisations of Interaction and Learning in the Repeated Prisoner's Dilemma," Theory and Decision, Springer, vol. 47(1), pages 57-72, August.
    4. Guth, Werner & Ockenfels, Peter & Wendel, Markus, 1997. "Cooperation based on trust. An experimental investigation," Journal of Economic Psychology, Elsevier, vol. 18(1), pages 15-43, February.
    5. Guth, Werner & Schmittberger, Rolf & Schwarze, Bernd, 1982. "An experimental analysis of ultimatum bargaining," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 367-388, December.
    6. Sober, Elliott, 1992. "Stable Cooperation in Iterated Prisoners' Dilemmas," Economics and Philosophy, Cambridge University Press, vol. 8(1), pages 127-138, April.
    7. Ken Binmore, 1994. "Game Theory and the Social Contract, Volume 1: Playing Fair," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262023636, December.
    8. Berg Joyce & Dickhaut John & McCabe Kevin, 1995. "Trust, Reciprocity, and Social History," Games and Economic Behavior, Elsevier, vol. 10(1), pages 122-142, July.
    9. Peyton Young, H. & Foster, Dean, 1991. "Cooperation in the long-run," Games and Economic Behavior, Elsevier, vol. 3(1), pages 145-156, February.
    10. Ernst Fehr & Simon Gachter & Georg Kirchsteiger, 1997. "Reciprocity as a Contract Enforcement Device: Experimental Evidence," Econometrica, Econometric Society, vol. 65(4), pages 833-860, July.
    11. Robert Hoffmann, 2001. "The Ecology of Cooperation," Theory and Decision, Springer, vol. 50(2), pages 101-118, March.
    12. Binmore, Kenneth G. & Samuelson, Larry, 1992. "Evolutionary stability in repeated games played by finite automata," Journal of Economic Theory, Elsevier, vol. 57(2), pages 278-305, August.
    13. Abreu, Dilip & Rubinstein, Ariel, 1988. "The Structure of Nash Equilibrium in Repeated Games with Finite Automata," Econometrica, Econometric Society, vol. 56(6), pages 1259-1281, November.
    14. Jonathan Bendor & Piotr Swistak, 1998. "Evolutionary Equilibria: Characterization Theorems and Their Implications," Theory and Decision, Springer, vol. 45(2), pages 99-159, October.
    15. Selten, Reinhard, 1988. "Evolutionary stability in extensive two-person games - correction and further development," Mathematical Social Sciences, Elsevier, vol. 16(3), pages 223-266, December.
    16. Samuelson, Larry, 1991. "Limit evolutionarily stable strategies in two-player, normal form games," Games and Economic Behavior, Elsevier, vol. 3(1), pages 110-128, February.
    17. Van Huyck John B. & Battalio Raymond C. & Walters Mary F., 1995. "Commitment versus Discretion in the Peasant-Dictator Game," Games and Economic Behavior, Elsevier, vol. 10(1), pages 143-170, July.
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    2. De Zeeuw, A. & Ochea, M., 2013. "Evolution of Reciprocity in Asymmetric International Environmental Negotiations," CeNDEF Working Papers 13-09, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.

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