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Iterative Dominance and Sequential Bargaining

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Author Info
Christopher J. Tyson () (Nuffield College, Oxford University, UK)
Abstract

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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Publisher Info
Paper provided by Economics Group, Nuffield College, University of Oxford in its series Economics Papers with number 2004-W23.

Download reference. The following formats are available: HTML, plain text, BibTeX, RIS (EndNote), ReDIF
Length: 20 pages
Date of creation: 27 Aug 2004
Date of revision:
Handle: RePEc:nuf:econwp:0423

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Web page: http://www.nuff.ox.ac.uk/economics/

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Related research
Keywords: coalition core iterative dominance temporal monopoly

Find related papers by JEL classification:
C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances

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  1. Chatterjee, Kalyan & Bhaskar Dutta & Debraj Ray & Kunal Sengupta, 1993. "A Noncooperative Theory of Coalitional Bargaining," Review of Economic Studies, Blackwell Publishing, vol. 60(2), pages 463-77, April. [Downloadable!] (restricted)
  2. Sutton, John, 1986. "Non-cooperative Bargaining Theory: An Introduction," Review of Economic Studies, Blackwell Publishing, vol. 53(5), pages 709-24, October. [Downloadable!] (restricted)
  3. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January. [Downloadable!] (restricted)
  4. Admati, Anat R & Perry, Motty, 1987. "Strategic Delay in Bargaining," Review of Economic Studies, Blackwell Publishing, vol. 54(3), pages 345-64, July. [Downloadable!] (restricted)
  5. Dilip Abreu & Faruk Gul, 2000. "Bargaining and Reputation," Econometrica, Econometric Society, vol. 68(1), pages 85-118, January.
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  6. Muhamet Yildiz, 2003. "Bargaining without a Common Prior-An Immediate Agreement Theorem," Econometrica, Econometric Society, vol. 71(3), pages 793-811, 05. [Downloadable!] (restricted)
  7. Sakovics Jozsef, 1993. "Delay in Bargaining Games with Complete Information," Journal of Economic Theory, Elsevier, vol. 59(1), pages 78-95, February. [Downloadable!] (restricted)
  8. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April. [Downloadable!] (restricted)
  9. Myerson, Roger B, 1979. "Incentive Compatibility and the Bargaining Problem," Econometrica, Econometric Society, vol. 47(1), pages 61-73, January. [Downloadable!] (restricted)
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  10. Chatterjee, Kalyan & Samuelson, Larry, 1990. "Perfect Equilibria in Simultaneous-Offers Bargaining," International Journal of Game Theory, Springer, vol. 19(3), pages 237-67.
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  11. Kennan, John & Wilson, Robert, 1993. "Bargaining with Private Information," Journal of Economic Literature, American Economic Association, vol. 31(1), pages 45-104, March. [Downloadable!] (restricted)
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  12. Krishna, Vijay & Serrano, Roberto, 1996. "Multilateral Bargaining," Review of Economic Studies, Blackwell Publishing, vol. 63(1), pages 61-80, January. [Downloadable!] (restricted)
  13. 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. [Downloadable!]
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  14. Lones Smith & Ennio Stacchetti, 2002. "Aspirational Bargaining," Game Theory and Information 0201003, EconWPA. [Downloadable!]
  15. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-37, September. [Downloadable!] (restricted)
  16. 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. [Downloadable!] (restricted)
  17. 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. [Downloadable!] (restricted)
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