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Codification schemes and finite automata

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  • Hernández, Penélope
  • Urbano, Amparo

Abstract

This paper is a note on how Information Theory and Codification Theory are helpful in the computational design of both communication protocols and strategy sets in the framework of finitely repeated games played by bounded rational agents. More precisely, we show the usefulness of both theories to improve the existing automata bounds on the work of Neyman (1998) Finitely repeated games with finite automata, Mathematics of Operations Research, 23 (3), 513-552.

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Bibliographic Info

Article provided by Elsevier in its journal Mathematical Social Sciences.

Volume (Year): 56 (2008)
Issue (Month): 3 (November)
Pages: 395-409

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Handle: RePEc:eee:matsoc:v:56:y:2008:i:3:p:395-409

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Web page: http://www.elsevier.com/locate/inca/505565

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Keywords: Complexity Codification Repeated games Finite automata;

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  1. Gossner, O. & Vieille, N., 1999. "How to play with a biased coin?," Papers 99-31, Paris X - Nanterre, U.F.R. de Sc. Ec. Gest. Maths Infor..
  2. Neyman, Abraham & Okada, Daijiro, 2000. "Repeated Games with Bounded Entropy," Games and Economic Behavior, Elsevier, vol. 30(2), pages 228-247, February.
  3. Abreu, Dilip & Rubinstein, Ariel, 1988. "The Structure of Nash Equilibrium in Repeated Games with Finite Automata," Econometrica, Econometric Society, vol. 56(6), pages 1259-81, November.
  4. 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).
  5. Olivier Gossner & Abraham Neyman & Penélope Hernández, 2005. "Optimal Use Of Communication Resources," Working Papers. Serie AD 2005-06, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  6. 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.
  7. Kalai, Ehud & Stanford, William, 1988. "Finite Rationality and Interpersonal Complexity in Repeated Games," Econometrica, Econometric Society, vol. 56(2), pages 397-410, March.
  8. Neyman, Abraham, 1985. "Bounded complexity justifies cooperation in the finitely repeated prisoners' dilemma," Economics Letters, Elsevier, vol. 19(3), pages 227-229.
  9. Olivier Gossner & Penelope Hernandez & Abraham Neyman, 2003. "Online Matching Pennies," Discussion Paper Series dp316, The Center for the Study of Rationality, Hebrew University, Jerusalem.
  10. Abraham Neyman & Daijiro Okada, 2000. "Two-person repeated games with finite automata," International Journal of Game Theory, Springer, vol. 29(3), pages 309-325.
  11. Ben-Porath Elchanan, 1993. "Repeated Games with Finite Automata," Journal of Economic Theory, Elsevier, vol. 59(1), pages 17-32, February.
  12. Zemel, Eitan, 1989. "Small talk and cooperation: A note on bounded rationality," Journal of Economic Theory, Elsevier, vol. 49(1), pages 1-9, October.
  13. Ariel Rubinstein, 1997. "Finite automata play the repeated prisioners dilemma," Levine's Working Paper Archive 1639, David K. Levine.
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