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Iterative Dominance and Sequential Bargaining

  • Christopher J. Tyson

    ()

    (Nuffield College, Oxford University, UK)

A new game theoretic analysis of finite horizon, complete information bargaining is advanced. The extensive form reflects an attempt to model unstructured negotiations, in which the negotiants can gain no artificial advantage from the details of the bargaining protocol. Conditions are identified under which the game is dominance solvable in the sense that iterative deletion of weakly dominated strategies selects a unique outcome. These conditions serve to preclude embedded static bargaining problems of the sort that have historically been deemed indeterminate, thereby ensuring that the dynamic problems analyzed will be resolvable without imposing any particular static theory.

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File URL: http://www.nuff.ox.ac.uk/economics/papers/2004/w23/270804.pdf
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Paper provided by Economics Group, Nuffield College, University of Oxford in its series Economics Papers with number 2004-W23.

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Length: 20 pages
Date of creation: 27 Aug 2004
Date of revision:
Handle: RePEc:nuf:econwp:0423
Contact details of provider: Web page: http://www.nuff.ox.ac.uk/economics/

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  1. Sutton, John, 1986. "Non-cooperative Bargaining Theory: An Introduction," Review of Economic Studies, Wiley Blackwell, vol. 53(5), pages 709-24, October.
  2. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, June.
  3. Chatterjee, Kalyan & Samuelson, Larry, 1990. "Perfect Equilibria in Simultaneous-Offers Bargaining," International Journal of Game Theory, Springer, vol. 19(3), pages 237-67.
  4. Ariel Rubinstein, 2010. "Perfect Equilibrium in a Bargaining Model," Levine's Working Paper Archive 661465000000000387, David K. Levine.
  5. Moulin, Herve, 1979. "Dominance Solvable Voting Schemes," Econometrica, Econometric Society, vol. 47(6), pages 1137-51, November.
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  9. John Duggan & Seok-ju Cho, 2007. "Bargaining Foundations of the Median Voter Theorem," Wallis Working Papers WP49, University of Rochester - Wallis Institute of Political Economy.
  10. Lones Smith & Ennio Stacchetti, 2002. "Aspirational Bargaining," Game Theory and Information 0201003, EconWPA.
  11. Krishna, Vijay & Serrano, Roberto, 1996. "Multilateral Bargaining," Review of Economic Studies, Wiley Blackwell, vol. 63(1), pages 61-80, January.
  12. Perry Motty & Reny Philip J., 1993. "A Non-cooperative Bargaining Model with Strategically Timed Offers," Journal of Economic Theory, Elsevier, vol. 59(1), pages 50-77, February.
  13. D. Abreu & F. Gul, 1998. "Bargaining and Reputation," Princeton Economic Theory Papers 00s9, Economics Department, Princeton University.
  14. Dekel, Eddie, 1990. "Simultaneous offers and the inefficiency of bargaining: A two-period example," Journal of Economic Theory, Elsevier, vol. 50(2), pages 300-308, April.
  15. Gretlein, Rodney, J, 1982. "Dominance Solvable Voting Schemes: A Comment," Econometrica, Econometric Society, vol. 50(2), pages 527-28, March.
  16. Sakovics Jozsef, 1993. "Delay in Bargaining Games with Complete Information," Journal of Economic Theory, Elsevier, vol. 59(1), pages 78-95, February.
  17. Kennan, J. & Wilson, R., 1991. "Bargaining with Private Information," Working Papers 90-01rev, University of Iowa, Department of Economics.
  18. Ausubel, Lawrence M. & Cramton, Peter & Deneckere, Raymond J., 2002. "Bargaining with incomplete information," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 3, chapter 50, pages 1897-1945 Elsevier.
  19. Roger B. Myerson, 1977. "Incentive Compatability and the Bargaining Problem," Discussion Papers 284, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  20. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-37, September.
  21. Chatterjee, Kalyan & Bhaskar Dutta & Debraj Ray & Kunal Sengupta, 1993. "A Noncooperative Theory of Coalitional Bargaining," Review of Economic Studies, Wiley Blackwell, vol. 60(2), pages 463-77, April.
  22. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
  23. Leslie McFarland-Marx & Jeroen M. Swinkels, 1993. "Order Independence for Iterated Weak Dominance," Discussion Papers 1040, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
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