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Complexity and Efficiency in Repeated Games and Negotiation

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  • Lee, J.
  • Sabourian, H.

Abstract

This paper considers the ‘negotiation game’ (Busch and Wen [4]) which combines the features of two-person alternating offers and repeated games. Despite the forces of bargaining, the negotiation game in general admits a large number of equilibria, some of which involve delay in agreement and inefficiency. In order to isolate equilibria in this game, we explicitly consider the complexity of implementing a strategy, introduced in the literature on repeated games played by automata. It turns out that when the players have a preference for less complex strategies (even at the margin) only efficient equilibria survive. Thus, complexity and bargaining in tandem may offer an explanation for co-operation in repeated games.

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File URL: http://www.econ.cam.ac.uk/research/repec/cam/pdf/cwpe0419.pdf
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Bibliographic Info

Paper provided by Faculty of Economics, University of Cambridge in its series Cambridge Working Papers in Economics with number 0419.

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Length: 53
Date of creation: Mar 2004
Date of revision:
Handle: RePEc:cam:camdae:0419

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Keywords: negotiation game; repeated game; bargaining; complexity; bounded rationality; automaton;

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  1. Kalyan Chatterjee & Hamid Sabourian, 2000. "Multiperson Bargaining and Strategic Complexity," Econometrica, Econometric Society, vol. 68(6), pages 1491-1510, November.
  2. Piccione, M. & Rubinstein, A., 1992. "Finite Automata Play A Repeated Extensive Game," Papers 5-92, Tel Aviv.
  3. Piccione Michele & Rubinstein Ariel, 1993. "Finite Automata Play a Repeated Extensive Game," Journal of Economic Theory, Elsevier, vol. 61(1), pages 160-168, October.
  4. 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.
  5. Binmore, Ken & Piccione, Michele & Samuelson, Larry, 1998. "Evolutionary Stability in Alternating-Offers Bargaining Games," Journal of Economic Theory, Elsevier, vol. 80(2), pages 257-291, June.
  6. Piccione, Michele, 1992. "Finite automata equilibria with discounting," Journal of Economic Theory, Elsevier, vol. 56(1), pages 180-193, February.
  7. 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.
  8. Douglas Gale & Hamid Sabourian, 2005. "Complexity and Competition," Econometrica, Econometric Society, vol. 73(3), pages 739-769, 05.
  9. Raquel Fernandez & Jacob Glazer, 1989. "Striking for a Bargain Between Two Completely Informed Agents," NBER Working Papers 3108, National Bureau of Economic Research, Inc.
  10. Busch, Lutz-Alexander & Wen, Quan, 1995. "Perfect Equilibria in Negotiation Model," Econometrica, Econometric Society, vol. 63(3), pages 545-65, May.
  11. Gale, D. & Sabourian, H., 2003. "Complexity and Competition, Part I: Sequential Matching," Cambridge Working Papers in Economics 0345, Faculty of Economics, University of Cambridge.
  12. Haller, Hans & Holden, Steinar, 1990. "A letter to the editor on wage bargaining," Journal of Economic Theory, Elsevier, vol. 52(1), pages 232-236, October.
  13. Ariel Rubinstein, 1997. "Finite automata play the repeated prisioners dilemma," Levine's Working Paper Archive 1639, David K. Levine.
  14. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
  15. Binmore, K. & Piccione, M. & Samuelson, L., 1996. "Evolutionary Stability in Alternating-Offers Bargaining Games," Working papers 9603r, Wisconsin Madison - Social Systems.
  16. Sabourian, Hamid, 2004. "Bargaining and markets: complexity and the competitive outcome," Journal of Economic Theory, Elsevier, vol. 116(2), pages 189-228, June.
  17. Martin J Osborne & Ariel Rubinstein, 2009. "A Course in Game Theory," Levine's Bibliography 814577000000000225, UCLA Department of Economics.
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