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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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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
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  1. Roger B. Myerson, 1977. "Incentive Compatability and the Bargaining Problem," Discussion Papers 284, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  2. Lawrence M. Ausubel & Peter Cramton & Raymond J. Deneckere, 2002. "Bargaining with Incomplete Information," Papers of Peter Cramton 02barg, University of Maryland, Department of Economics - Peter Cramton, revised 12 Mar 2001.
  3. Cho, Seok-ju & Duggan, John, 2009. "Bargaining foundations of the median voter theorem," Journal of Economic Theory, Elsevier, vol. 144(2), pages 851-868, March.
  4. Marx, Leslie M. & Swinkels, Jeroen M., 1997. "Order Independence for Iterated Weak Dominance," Games and Economic Behavior, Elsevier, vol. 18(2), pages 219-245, February.
  5. Moulin, Herve, 1979. "Dominance Solvable Voting Schemes," Econometrica, Econometric Society, vol. 47(6), pages 1137-51, November.
  6. D. Abreu & F. Gul, 1998. "Bargaining and Reputation," Princeton Economic Theory Papers 00s9, Economics Department, Princeton University.
  7. Ariel Rubinstein, 2010. "Perfect Equilibrium in a Bargaining Model," Levine's Working Paper Archive 661465000000000387, David K. Levine.
  8. Kennan, J. & Wilson, R., 1991. "Bargaining with Private Information," Working Papers 90-01rev, University of Iowa, Department of Economics.
  9. Sakovics Jozsef, 1993. "Delay in Bargaining Games with Complete Information," Journal of Economic Theory, Elsevier, vol. 59(1), pages 78-95, February.
  10. Chatterjee, Kalyan & Samuelson, Larry, 1990. "Perfect Equilibria in Simultaneous-Offers Bargaining," International Journal of Game Theory, Springer, vol. 19(3), pages 237-67.
  11. Krishna, Vijay & Serrano, Roberto, 1996. "Multilateral Bargaining," Review of Economic Studies, Wiley Blackwell, vol. 63(1), pages 61-80, January.
  12. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, June.
  13. Gretlein, Rodney, J, 1982. "Dominance Solvable Voting Schemes: A Comment," Econometrica, Econometric Society, vol. 50(2), pages 527-28, March.
  14. Eddie Dekel., 1989. "Simultaneous Offers and the Inefficiency of Bargaining: A Two-Period Example," Economics Working Papers 89-112, University of California at Berkeley.
  15. KOHLBERG, Elon & MERTENS, Jean-François, . "On the strategic stability of equilibria," CORE Discussion Papers RP 716, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  16. Admati, Anat R & Perry, Motty, 1987. "Strategic Delay in Bargaining," Review of Economic Studies, Wiley Blackwell, vol. 54(3), pages 345-64, July.
  17. Sutton, John, 1986. "Non-cooperative Bargaining Theory: An Introduction," Review of Economic Studies, Wiley Blackwell, vol. 53(5), pages 709-24, October.
  18. Lones Smith & Ennio Stacchetti, 2002. "Aspirational Bargaining," Game Theory and Information 0201003, EconWPA.
  19. repec:cup:cbooks:9780521576475 is not listed on IDEAS
  20. 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.
  21. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
  22. 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.
  23. Muhamet Yildiz, 2003. "Bargaining without a Common Prior-An Immediate Agreement Theorem," Econometrica, Econometric Society, vol. 71(3), pages 793-811, 05.
  24. Banks, Jeffrey S. & Duggan, John, 1999. "A Bargaining Model of Collective Choice," Working Papers 1053, California Institute of Technology, Division of the Humanities and Social Sciences.
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