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Far but finite horizons promote cooperation in the Centipede game

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  • Krockow, Eva M.
  • Pulford, Briony D.
  • Colman, Andrew M.

Abstract

The sequential Centipede game models repeated reciprocal interaction, in which two players alternate in choosing between cooperation and defection. In an attempt to increase the game’s applicability to real-life decision contexts, we investigated the effects of game length and termination rules on cooperation in the Centipede game. We found that increasing the game length from 8 to 20 decision nodes increased cooperation, but only if the game’s end was known to participants. Games with unknown ends manifested lower cooperation levels without an endgame effect (increased defection immediately before a known end). Random game termination by the computer appeared to increase the percentage of games adhering to the Nash equilibrium outcome mandated by game theory, and generally lowered cooperation levels.

Suggested Citation

  • Krockow, Eva M. & Pulford, Briony D. & Colman, Andrew M., 2018. "Far but finite horizons promote cooperation in the Centipede game," Journal of Economic Psychology, Elsevier, vol. 67(C), pages 191-199.
    • Handle: RePEc:eee:joepsy:v:67:y:2018:i:c:p:191-199
    DOI: 10.1016/j.joep.2018.07.002
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    References listed on IDEAS

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    1. Briony D Pulford & Eva M Krockow & Andrew M Colman & Catherine L Lawrence, 2016. "Social Value Induction and Cooperation in the Centipede Game," PLOS ONE, Public Library of Science, vol. 11(3), pages 1-21, March.
    2. Eva M. Krockow & Briony D. Pulford & Andrew M. Colman, 2015. "Competitive Centipede Games: Zero-End Payoffs and Payoff Inequality Deter Reciprocal Cooperation," Games, MDPI, vol. 6(3), pages 1-11, August.
    3. Jehiel, Philippe, 2005. "Analogy-based expectation equilibrium," Journal of Economic Theory, Elsevier, vol. 123(2), pages 81-104, August.
    4. Nicholas Bardsley & Robin Cubitt & Graham Loomes & Peter Moffatt & Chris Starmer & Robert Sugden, 2009. "Experimental Economics: Rethinking the Rules," Economics Books, Princeton University Press, edition 1, number 9074.
    5. Bolle, Friedel, 1990. "High reward experiments without high expenditure for the experimenter?," Journal of Economic Psychology, Elsevier, vol. 11(2), pages 157-167, June.
    6. Robin Cubitt & Chris Starmer & Robert Sugden, 1998. "On the Validity of the Random Lottery Incentive System," Experimental Economics, Springer;Economic Science Association, vol. 1(2), pages 115-131, September.
    7. Fey, Mark & McKelvey, Richard D & Palfrey, Thomas R, 1996. "An Experimental Study of Constant-Sum Centipede Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 25(3), pages 269-287.
    8. Richard Mckelvey & Thomas Palfrey, 1998. "Quantal Response Equilibria for Extensive Form Games," Experimental Economics, Springer;Economic Science Association, vol. 1(1), pages 9-41, June.
    9. Rosenthal, Robert W., 1981. "Games of perfect information, predatory pricing and the chain-store paradox," Journal of Economic Theory, Elsevier, vol. 25(1), pages 92-100, August.
    10. Aumann, Robert J., 1998. "On the Centipede Game," Games and Economic Behavior, Elsevier, vol. 23(1), pages 97-105, April.
    11. Hans-Theo Normann & Brian Wallace, 2012. "The impact of the termination rule on cooperation in a prisoner’s dilemma experiment," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(3), pages 707-718, August.
    12. Nagel, Rosemarie, 1995. "Unraveling in Guessing Games: An Experimental Study," American Economic Review, American Economic Association, vol. 85(5), pages 1313-1326, December.
    13. Aumann, Robert J., 1995. "Backward induction and common knowledge of rationality," Games and Economic Behavior, Elsevier, vol. 8(1), pages 6-19.
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    Cited by:

    1. Benjamin Patrick Evans & Mikhail Prokopenko, 2024. "Bounded rationality for relaxing best response and mutual consistency: the quantal hierarchy model of decision making," Theory and Decision, Springer, vol. 96(1), pages 71-111, February.
    2. Benjamin Patrick Evans & Mikhail Prokopenko, 2021. "Bounded rationality for relaxing best response and mutual consistency: The Quantal Hierarchy model of decision-making," Papers 2106.15844, arXiv.org, revised Mar 2023.

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    More about this item

    Keywords

    Centipede game; Backward induction; Endgame effect; Cooperation; Reciprocity;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior
    • D03 - Microeconomics - - General - - - Behavioral Microeconomics: Underlying Principles
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions

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