Trust is bound to emerge (In the repeated Trust Game)
This paper addresses the emergence of cooperation in asymmetric pris- oners' dilemmas in which one player chooses after having observed the other player's choice (Trust Game). We use the finite automata approach with complexity costs to study the equilibria of the repeated version of this game. We show that there is a small set of automata that form the unique Closed Under Rational Behavior (CURB) set for this game. This set contains two non-strict Nash equilibria, a cooperative and a non- cooperative one. We show that the cooperative equilibrium is the only (cyclically) stable set under the so called Best Response Dynamics.
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- Basu, K. & Weibull, J., 1990.
"Strategy Subsets Closed Under Rational Behavior,"
62, Princeton, Woodrow Wilson School - Discussion Paper.
- I. Gilboa & A. Matsui, 2010.
"Social Stability and Equilibrium,"
Levine's Working Paper Archive
534, David K. Levine.
- Banks, J.S. & Sundaram, R.K., 1989.
"Repeated Games, Finite Automata, And Complexity,"
RCER Working Papers
183, University of Rochester - Center for Economic Research (RCER).
- Samuelson, Larry & Swinkels, Jeroen M., 2003.
"Evolutionary stability and lexicographic preferences,"
Games and Economic Behavior,
Elsevier, vol. 44(2), pages 332-342, August.
- Larry Samuelson & Jeroen Swinkels, 2003. "Evolutionary Stability and Lexographic Preferences," Levine's Working Paper Archive 506439000000000456, David K. Levine.
- Samuelson,L. & Swinkels,J.M., 2001. "Evolutionary staibility and lexicographic preferences," Working papers 18, Wisconsin Madison - Social Systems.
- Cooper, David J., 1996. "Supergames Played by Finite Automata with Finite Costs of Complexity in an Evolutionary Setting," Journal of Economic Theory, Elsevier, vol. 68(1), pages 266-275, January.
- Ulrich Berger, 2002. "Best response dynamics for role games," International Journal of Game Theory, Springer, vol. 30(4), pages 527-538.
- Matsui, Akihiko, 1992. "Best response dynamics and socially stable strategies," Journal of Economic Theory, Elsevier, vol. 57(2), pages 343-362, August.
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