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Mediation: Incomplete information bargaining with

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  • Xavier Jarque

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  • Clara Ponsat?Author-Name: Jozsef Sakovics

Abstract

We analyze a continuous-time bilateral double auction in the presence of two-sided incomplete information and a smallest money unit. A distinguishing feature of our model is that intermediate concessions are not observable by the adversary: they are only communicated to a passive auctioneer. An alternative interpretation is that of mediated bargaining. We show that an equilibrium using only the extreme agreements always exists and display the necessary and sufficient condition for the existence of (perfect Bayesian) equilibra which yield intermediate agreements. For the symmetric case with uniform type distribution we numerically calculate the equilibria. We find that the equilibrium which does not use compromise agreements is the least efficient, however, the rest of the equilibria yield the lower social welfare the higher number of compromise agreements are used.

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Bibliographic Info

Paper provided by Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC) in its series UFAE and IAE Working Papers with number 502.01.

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Length: 34
Date of creation: 22 Nov 2001
Date of revision:
Handle: RePEc:aub:autbar:502.01

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Keywords: Noncooperative games; bargaining theory;

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  1. Watson, Joel, 1998. "Alternating-Offer Bargaining with Two-Sided Incomplete Information," Review of Economic Studies, Wiley Blackwell, vol. 65(3), pages 573-94, July.
  2. Ausubel, Lawrence M & Deneckere, Raymond J, 1992. "Durable Goods Monopoly with Incomplete Information," Review of Economic Studies, Wiley Blackwell, vol. 59(4), pages 795-812, October.
  3. Peter Cramton, 1984. "Bargaining with Incomplete Information: An Infinite-Horizon Model with Two-Sided Uncertainty," Papers of Peter Cramton 84res, University of Maryland, Department of Economics - Peter Cramton, revised 09 Jun 1998.
  4. D. Abreu & F. Gul, 1998. "Bargaining and Reputation," Princeton Economic Theory Papers 00s9, Economics Department, Princeton University.
  5. 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.
  6. Erik van Damme & Reinhard Selten & Eyal Winter, 1989. "Alternating Bid Bargaining with a Smallest Money Unit," Discussion Paper Serie A 253, University of Bonn, Germany.
  7. Gresik, Thomas A., 1996. "Incentive-Efficient Equilibria of Two-Party Sealed-Bid Bargaining Games," Journal of Economic Theory, Elsevier, vol. 68(1), pages 26-48, January.
  8. Fudenberg, Drew & Tirole, Jean, 1983. "Sequential Bargaining with Incomplete Information," Review of Economic Studies, Wiley Blackwell, vol. 50(2), pages 221-47, April.
  9. Ausubel, Lawrence M & Deneckere, Raymond J, 1992. "Bargaining and the Right to Remain Silent," Econometrica, Econometric Society, vol. 60(3), pages 597-625, May.
  10. Chatterjee, Kalyan & Samuelson, Larry, 1987. "Bargaining with Two-Sided Incomplete Information: An Infinite Horizon Model with Alternating Offers," Review of Economic Studies, Wiley Blackwell, vol. 54(2), pages 175-92, April.
  11. Peter Cramton, 1992. "Strategic Delay in Bargaining with Two-Sided Uncertainty," Papers of Peter Cramton 92res, University of Maryland, Department of Economics - Peter Cramton, revised 09 Jun 1998.
  12. Leininger, W. & Linhart, P. B. & Radner, R., 1989. "Equilibria of the sealed-bid mechanism for bargaining with incomplete information," Journal of Economic Theory, Elsevier, vol. 48(1), pages 63-106, June.
  13. Sakovics Jozsef, 1993. "Delay in Bargaining Games with Complete Information," Journal of Economic Theory, Elsevier, vol. 59(1), pages 78-95, February.
  14. Ponsati, Clara & Sakovics, Jozsef, 1995. "The war of attrition with incomplete information," Mathematical Social Sciences, Elsevier, vol. 29(3), pages 239-254, June.
  15. Admati, Anat R & Perry, Motty, 1987. "Strategic Delay in Bargaining," Review of Economic Studies, Wiley Blackwell, vol. 54(3), pages 345-64, July.
  16. Cho, In-Koo, 1990. "Uncertainty and Delay in Bargaining," Review of Economic Studies, Wiley Blackwell, vol. 57(4), pages 575-95, October.
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