Robust Evolution Of Contingent Cooperation In Pure One-Shot Prisoners' Dilemmas. Part I: Vulnerable Contingent Participators Versus Stable Contingent Cooperators
AbstractROC curves from the signal detection literature are used in an evolutionary analysis of one-shot and repeated prisoners' dilemmas: showing if there is any discounting of future payoffs, or any cost of searching for an additional partner, then cooperative players who contingently participate - in terms of who to play with or when to exit - cannot survive when most other players unconditionally defect; even when contingent participators only interact with themselves by perfectly detecting their own type. However, quite different results hold for players who act contingently, not in terms of whether to play or exit, but rather in terms of how to act with any given partner. There is a form of contingent cooperation in one-shot prisoners' dilemmas (called CD behavior) that will robustly evolve through any payoff monotonic process, such as replicator dynamics. That is, whenever CD-players can detect their own type better than pure chance, they are guaranteed to evolve from any initial population - eventually to a unique evolutionarily stable population composed entirely of contingent cooperators - provided the fear payoff difference is less than the sum of greed and cooperation payoff differences. The adaptive capabilities just described hold for pure one-shot prisoners' dilemmas: meaning no repeated interactions or pairings in any generation are involved; no information or third party reports about past behavior are involved, all signal information arises only from symptoms detected after two strangers meet for the first time; and no subjective preferences for altruism, fairness, equity, reciprocity, or morality affect the raw evolutionary dynamics. Testable predictions are also derived that agree with a large body of experimental data built up since the prisoners dilemma was first introduced in 1950. They describe how the CD-players' equilibrium probability of cooperating changes: depending on the relative size of fear, greed, and cooperation payoff differences; and depending on the players' history of communication, especially when face-to-face discussion is involved. --
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Saarland University, CSLE - Center for the Study of Law and Economics in its series CSLE Discussion Paper Series with number 2002-09.
Date of creation: 2002
Date of revision:
Contact details of provider:
Postal: Postfach 151150, 66041 Saarbrücken
Phone: *49(0)681-302 2132
Fax: *49(0)681-302 3591
Web page: http://www.uni-saarland.de/fak1/fr12/csle/
More information through EDIRC
prisoners? dilemma; cooperation; Nash equilibrium; evolutionary stability; replicator dynamics; signal detection; ROC curves; experiment;
Find related papers by JEL classification:
- D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
- C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior
- C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
- C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Geanakoplos, John & Pearce, David & Stacchetti, Ennio, 1989. "Psychological games and sequential rationality," Games and Economic Behavior, Elsevier, vol. 1(1), pages 60-79, March.
- Max Albert & Ronald A. Heiner, 2003.
"An Indirect-Evolution Approad to Newcomb's Problem,"
Institute of SocioEconomics, vol. 20, pages 161-194.
- Albert, Max & Heiner, Ronald Asher, 2001. "An Indirect-Evolution Approach to Newcomb's Problem," CSLE Discussion Paper Series 2001-01, Saarland University, CSLE - Center for the Study of Law and Economics.
- Kim, Yong-Gwan & Sobel, Joel, 1995.
"An Evolutionary Approach to Pre-play Communication,"
Econometric Society, vol. 63(5), pages 1181-93, September.
- Kim, Y.G. & Sobel, J., 1993. "An Evolutionary Approach to Pre-Play Communication," Working Papers 93-02, University of Iowa, Department of Economics.
- 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.
- Elinor Ostrom, 2000. "Collective Action and the Evolution of Social Norms," Journal of Economic Perspectives, American Economic Association, vol. 14(3), pages 137-158, Summer.
- Cooper, R. & DeJong, D.W. & Ross, T.W., 1992.
"Cooperation without Reputation: Experimental Evidence from Prisoner's Dilemma Games,"
36, Boston University - Industry Studies Programme.
- Cooper, Russell & DeJong, Douglas V. & Forsythe, Robert & Ross, Thomas W., 1996. "Cooperation without Reputation: Experimental Evidence from Prisoner's Dilemma Games," Games and Economic Behavior, Elsevier, vol. 12(2), pages 187-218, February.
- Russell Cooper & Douglas V. DeJong & Thomas W. Ross, 1992. "Cooperation without Reputation: Experimental Evidence from Prisoner's Dilemma Games," Papers 0036, Boston University - Industry Studies Programme.
- Warneryd Karl, 1993. "Cheap Talk, Coordination, and Evolutionary Stability," Games and Economic Behavior, Elsevier, vol. 5(4), pages 532-546, October.
- Congleton, Roger D. & Vanberg, Viktor J., 2001. "Help, harm or avoid? On the personal advantage of dispositions to cooperate and punish in multilateral PD games with exit," Journal of Economic Behavior & Organization, Elsevier, vol. 44(2), pages 145-167, February.
- Banerjee, Abhijit & Weibull, Jorgen W., 2000.
"Neutrally Stable Outcomes in Cheap-Talk Coordination Games,"
Games and Economic Behavior,
Elsevier, vol. 32(1), pages 1-24, July.
- Abhijit Banerjee & J�rgen W. Weibull, . "Neutrally Stable Outcomes in Cheap Talk Coordination Games," ELSE working papers 012, ESRC Centre on Economics Learning and Social Evolution.
- Binmore, Ken, 1988. "Modeling Rational Players: Part II," Economics and Philosophy, Cambridge University Press, vol. 4(01), pages 9-55, April.
- Ahn, T K, et al, 2001. " Cooperation in PD Games: Fear, Greed, and History of Play," Public Choice, Springer, vol. 106(1-2), pages 137-55, January.
- Bhaskar, V., 1998. "Noisy Communication and the Evolution of Cooperation," Journal of Economic Theory, Elsevier, vol. 82(1), pages 110-131, September.
- Palfrey, Thomas R & Prisbrey, Jeffrey E, 1997. "Anomalous Behavior in Public Goods Experiments: How Much and Why?," American Economic Review, American Economic Association, vol. 87(5), pages 829-46, December.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (ZBW - German National Library of Economics).
If references are entirely missing, you can add them using this form.