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Complexity and Efficiency in Repeated Games and Negotiation

  • Lee, J.
  • Sabourian, H.

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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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
Note: ET
Contact details of provider: Web page: http://www.econ.cam.ac.uk/index.htm

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  1. Rubinstein, Ariel, 1986. "Finite automata play the repeated prisoner's dilemma," Journal of Economic Theory, Elsevier, vol. 39(1), pages 83-96, June.
  2. Fernandez, Raquel & Glazer, Jacob, 1991. "Striking for a Bargain between Two Completely Informed Agents," American Economic Review, American Economic Association, vol. 81(1), pages 240-52, March.
  3. Busch, L-A. & Wen, Q., 1991. "Perfect Equilibria in a Negotiation Model," University of Western Ontario, The Centre for the Study of International Economic Relations Working Papers 9108, University of Western Ontario, The Centre for the Study of International Economic Relations.
  4. Piccione, M. & Rubinstein, A., 1992. "Finite Automata Play A Repeated Extensive Game," Papers 5-92, Tel Aviv.
  5. Sabourian, Hamid, 2004. "Bargaining and markets: complexity and the competitive outcome," Journal of Economic Theory, Elsevier, vol. 116(2), pages 189-228, June.
  6. Douglas Gale & Hamid Sabourian, 2003. "Complexity and Competition, Part I: Sequential Matching," Levine's Bibliography 666156000000000199, UCLA Department of Economics.
  7. 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.
  8. Kalyan Chatterjee & Hamid Sabourian, 1998. "Multiperson Bargaining and Strategic Complexity," CRIEFF Discussion Papers 9808, Centre for Research into Industry, Enterprise, Finance and the Firm.
  9. Martin J Osborne & Ariel Rubinstein, 2009. "A Course in Game Theory," Levine's Bibliography 814577000000000225, UCLA Department of Economics.
  10. Binmore, K. & Piccione, M. & Samuelson, L., 1996. "Evolutionary Stability in Alternating-Offers Bargaining Games," Working papers 9603r, Wisconsin Madison - Social Systems.
  11. 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.
  12. Piccione Michele & Rubinstein Ariel, 1993. "Finite Automata Play a Repeated Extensive Game," Journal of Economic Theory, Elsevier, vol. 61(1), pages 160-168, October.
  13. 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.
  14. Douglas Gale & Hamid Sabourian, 2005. "Complexity and Competition," Econometrica, Econometric Society, vol. 73(3), pages 739-769, 05.
  15. Piccione, Michele, 1992. "Finite automata equilibria with discounting," Journal of Economic Theory, Elsevier, vol. 56(1), pages 180-193, February.
  16. 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.
  17. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
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