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Extreme Equilibria in a General Negotiation Model

Listed author(s):
  • Harold Houba

    ()

    (VU University Amsterdam)

  • Quan Wen

    ()

    (Vanderbilt University, Nashville)

See also 'Extreme equilibria in the negotiation model with different time preferences', Games and Economic Behavior (2011), Vol. 73, pp.507–516. We study a bargaining model with a disagreement game between offers and counteroffers. In order to characterize the set of its subgame perfect equilibrium payoffs, we provide a recursive technique that relies on the Pareto frontier of equilibrium payoffs. When players have different time preferences, reaching an immediate agreement may not be Pareto efficient. The recursive technique developed in this paper generalizes that of Shaked and Sutton (1984) by incorporating the possibility of making unacceptable proposals into the backward induction analysis. Results from this paper extend all the previous findings and resolve some open issues in the current literature.

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Paper provided by Tinbergen Institute in its series Tinbergen Institute Discussion Papers with number 07-070/1.

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Date of creation: 12 Sep 2007
Handle: RePEc:tin:wpaper:20070070
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  1. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
  2. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
  3. Muthoo,Abhinay, 1999. "Bargaining Theory with Applications," Cambridge Books, Cambridge University Press, number 9780521576475, December.
  4. Merlo, Antonio & Wilson, Charles A, 1995. "A Stochastic Model of Sequential Bargaining with Complete Information," Econometrica, Econometric Society, vol. 63(2), pages 371-399, March.
  5. Bolt, Wilko, 1995. "Striking for a Bargain between Two Completely Informed Agents: Comment," American Economic Review, American Economic Association, vol. 85(5), pages 1344-1347, December.
  6. Busch, Lutz-Alexander & Wen, Quan, 2001. "Negotiation games with unobservable mixed disagreement actions," Journal of Mathematical Economics, Elsevier, vol. 35(4), pages 563-579, July.
  7. Houba, Harold, 1997. "The policy bargaining model," Journal of Mathematical Economics, Elsevier, vol. 28(1), pages 1-27, August.
  8. Busch, Lutz-Alexander & Wen, Quan, 1995. "Perfect Equilibria in Negotiation Model," Econometrica, Econometric Society, vol. 63(3), pages 545-565, May.
  9. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, January.
  10. Fernandez, Raquel & Glazer, Jacob, 1991. "Striking for a Bargain between Two Completely Informed Agents," American Economic Review, American Economic Association, vol. 81(1), pages 240-252, March.
  11. Herrero, Maria Jose, 1989. "The nash program: Non-convex bargaining problems," Journal of Economic Theory, Elsevier, vol. 49(2), pages 266-277, December.
  12. Abreu, Dilip & Pearce, David & Stacchetti, Ennio, 1986. "Optimal cartel equilibria with imperfect monitoring," Journal of Economic Theory, Elsevier, vol. 39(1), pages 251-269, June.
  13. Mailath, George J. & Samuelson, Larry, 2006. "Repeated Games and Reputations: Long-Run Relationships," OUP Catalogue, Oxford University Press, number 9780195300796.
  14. Shaked, Avner & Sutton, John, 1984. "Involuntary Unemployment as a Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 52(6), pages 1351-1364, November.
  15. Bewley, Truman F., 1972. "Existence of equilibria in economies with infinitely many commodities," Journal of Economic Theory, Elsevier, vol. 4(3), pages 514-540, June.
  16. 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.
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