Playing off-line games with bounded rationality
We study a two-person zero-sum game where players simultaneously choose sequences of actions, and the overall payoff is the average of a one-shot payoff over the joint sequence. We consider the maxmin value of the game played in pure strategies by boundedly rational players and model bounded rationality by introducing complexity limitations. First we define the complexity of a sequence by its smallest period (a nonperiodic sequence being of infinite complexity) and study the maxmin of the game where player 1 is restricted to strategies with complexity at most n and player 2 is restricted to strategies with complexity at most m. We study the asymptotics of this value and a complete characterization in the matching pennies case. We extend the analysis of matching pennies to strategies with bounded recall.
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- Olivier Gossner & Penelope Hernandez & Abraham Neyman, 2003. "Online Matching Pennies," Discussion Paper Series dp316, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
- Ben-porath, Elchanan, 1990. "The complexity of computing a best response automaton in repeated games with mixed strategies," Games and Economic Behavior, Elsevier, vol. 2(1), pages 1-12, March.
- Sabourian, Hamid, 1998. "Repeated games with M-period bounded memory (pure strategies)," Journal of Mathematical Economics, Elsevier, vol. 30(1), pages 1-35, August.
- Neyman, Abraham, 1985. "Bounded complexity justifies cooperation in the finitely repeated prisoners' dilemma," Economics Letters, Elsevier, vol. 19(3), pages 227-229.
- Lehrer Ehud, 1994. "Finitely Many Players with Bounded Recall in Infinitely Repeated Games," Games and Economic Behavior, Elsevier, vol. 7(3), pages 390-405, November.
- Liaw, Sy-Sang & Liu, Ching, 2005. "The quasi-periodic time sequence of the population in minority game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 351(2), pages 571-579.
- O'Connell, Thomas C. & Stearns, Richard E., 2003. "On finite strategy sets for finitely repeated zero-sum games," Games and Economic Behavior, Elsevier, vol. 43(1), pages 107-136, April.
- Cole, Harold L. & Kocherlakota, Narayana R., 2005.
"Finite memory and imperfect monitoring,"
Games and Economic Behavior,
Elsevier, vol. 53(1), pages 59-72, October.
- Harold L. Cole & Narayana R. Kocherlakota, 2000. "Finite memory and imperfect monitoring," Working Papers 604, Federal Reserve Bank of Minneapolis.
- Harold L. Cole & Narayana R. Kocherlakota, 2001. "Finite memory and imperfect monitoring," Staff Report 287, Federal Reserve Bank of Minneapolis.
- Kalai, Ehud & Stanford, William, 1988. "Finite Rationality and Interpersonal Complexity in Repeated Games," Econometrica, Econometric Society, vol. 56(2), pages 397-410, March.
- Ehud Kalai & William Stanford, 1986. "Finite Rationality and Interpersonal Complexity in Repeated Games," Discussion Papers 679, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- O. Gossner & P. Hernandez, 2001. "On the complexity of coordination," THEMA Working Papers 2001-21, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
- GOSSNER, Olivier & HERNANDEZ, Pénélope, 2001. "On the complexity of coordination," CORE Discussion Papers 2001047, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Michele Piccione & Ariel Rubinstein, 2003. "Modeling the Economic Interaction of Agents With Diverse Abilities to Recognize Equilibrium Patterns," Journal of the European Economic Association, MIT Press, vol. 1(1), pages 212-223, 03.
- Michele Piccione & Ariel Rubinstein, 2002. "Modelling the Economic Interaction of Agents with Diverse Abilities to Recognise Equilibrium Patterns," STICERD - Theoretical Economics Paper Series 440, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
- Michele Piccione & Ariel Rubinstein, 2010. "Modeling the Economic Interaction of Agents with Diverse Abilities to Recognize Equilibrium Patterns," Levine's Working Paper Archive 506439000000000108, David K. Levine.
- Michele Piccione & Ariel Rubinstein, 2002. "Modelling the economic interaction of agents with diverse abilities to recognise equilibrium patterns," LSE Research Online Documents on Economics 2061, London School of Economics and Political Science, LSE Library.
- repec:dau:papers:123456789/6381 is not listed on IDEAS
- Olivier Gossner & Penélope Hernández, 2005. "Coordination Through De Bruijn Sequences," Working Papers. Serie AD 2005-05, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- Olivier Gossner & Penelope Hernandez, 2006. "Coordination through De Bruijn sequences," Post-Print halshs-00754177, HAL.
- Gilad Bavly & Abraham Neyman, 2003. "Online Concealed Correlation by Boundedly Rational Players," Discussion Paper Series dp336, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
- 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.
- Rubinstein, Ariel, 1986. "Finite automata play the repeated prisoner's dilemma," Journal of Economic Theory, Elsevier, vol. 39(1), pages 83-96, June.
- Ariel Rubinstein, 1997. "Finite automata play the repeated prisioners dilemma," Levine's Working Paper Archive 1639, David K. Levine.
- Neyman, Abraham & Okada, Daijiro, 1999. "Strategic Entropy and Complexity in Repeated Games," Games and Economic Behavior, Elsevier, vol. 29(1-2), pages 191-223, October.
- Ben-Porath Elchanan, 1993. "Repeated Games with Finite Automata," Journal of Economic Theory, Elsevier, vol. 59(1), pages 17-32, February.
- Ben-Porath, E., 1991. "Repeated games with Finite Automata," Papers 7-91, Tel Aviv - the Sackler Institute of Economic Studies.
- Abraham Neyman & Daijiro Okada, 2000. "Two-person repeated games with finite automata," International Journal of Game Theory, Springer;Game Theory Society, vol. 29(3), pages 309-325.
- Neyman, Abraham & Okada, Daijiro, 2000. "Repeated Games with Bounded Entropy," Games and Economic Behavior, Elsevier, vol. 30(2), pages 228-247, February.
- Lehrer, Ehud, 1988. "Repeated games with stationary bounded recall strategies," Journal of Economic Theory, Elsevier, vol. 46(1), pages 130-144, October. Full references (including those not matched with items on IDEAS)
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