Robust Evolution Of Contingent Cooperation In Pure One-Shot Prisoners' Dilemmas. Part II: Evolutionary Dynamics & Testable Predictions
ROC 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.
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- Fehr, Ernst & Schmidt, Klaus M., 1998.
"A Theory of Fairness, Competition and Cooperation,"
CEPR Discussion Papers
1812, C.E.P.R. Discussion Papers.
- Ernst Fehr & Klaus M. Schmidt, 1999. "A Theory of Fairness, Competition, and Cooperation," The Quarterly Journal of Economics, Oxford University Press, vol. 114(3), pages 817-868.
- Fehr, Ernst & Schmidt, Klaus M., . "A theory of fairness, competition, and cooperation," Chapters in Economics, University of Munich, Department of Economics.
- Ernst Fehr & Klaus M. Schmidt, . "A Theory of Fairness, Competition and Cooperation," IEW - Working Papers 004, Institute for Empirical Research in Economics - University of Zurich.
- Fehr, Ernst & Schmidt, Klaus M., 1999. "A theory of fairness, competition, and cooperation," Munich Reprints in Economics 20650, University of Munich, 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.
- 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.
- 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.
- Russell Cooper & Douglas V. DeJong & Thomas W. Ross, 1992.
"Cooperation without Reputation: Experimental Evidence from Prisoner's Dilemma Games,"
0036, 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.
- Cooper, R. & DeJong, D.W. & Ross, T.W., 1992. "Cooperation without Reputation: Experimental Evidence from Prisoner's Dilemma Games," Papers 36, Boston University - Industry Studies Programme.
- Werner Güth & Hartmut Kliemt, 1994. "Competition Or Co-Operation: On The Evolutionary Economics Of Trust, Exploitation And Moral Attitudes," Metroeconomica, Wiley Blackwell, vol. 45(2), pages 155-187, 06.
- M. Rabin, 2001.
"Incorporating Fairness into Game Theory and Economics,"
Levine's Working Paper Archive
511, David K. Levine.
- Rabin, Matthew, 1993. "Incorporating Fairness into Game Theory and Economics," American Economic Review, American Economic Association, vol. 83(5), pages 1281-1302, December.
- Matthew Rabin., 1992. "Incorporating Fairness into Game Theory and Economics," Economics Working Papers 92-199, University of California at Berkeley.
- Roth, Alvin E, 1988. "Laboratory Experimentation in Economics: A Methodological Overview," Economic Journal, Royal Economic Society, vol. 98(393), pages 974-1031, December.
- Anatol Rapoport, 1967. "A note on the "index of cooperation" for Prisoner's Dilemma," Journal of Conflict Resolution, Peace Science Society (International), vol. 11(1), pages 100-103, March.
- 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.
- Güth, W. & Kliemt, H., 1993.
"Competition or Co-Operation,"
1993-39, Tilburg University, Center for Economic Research.
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