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Efficiency and Voluntary Implementation in Markets with Repeated Pairwise Bargaining

  • Matthew O. Jackson

    (California Institute of Technology)

  • Thomas R. Palfrey

    (California Institute of Technology)

We examine a simple bargaining setting, where heterogeneous buyers and sellers are repeatedly matched with each other. We begin by characterizing efficiency in such a dynamic setting, and discuss how it differs from efficiency in a centralized static setting. We then study the allocations which can result in equilibrium when the matched buyers and sellers bargain through some extensive game form. We take an implementation approach, characterizing the possible allocation rules which result as the extensive game form is varied. We are particularly concerned with the impact of making trade voluntary: imposing individual rationality {\sl on and off} the equilibrium path. No buyer or seller consumates an agreement which leaves them worse off than the discounted expected value of their future rematching in the market. Finally, we compare and contrast the efficient allocations with those that could ever arise as the equlibria of some voluntary negotiation procedure.

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File URL: http://econwpa.repec.org/eps/game/papers/9711/9711003.pdf
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Paper provided by EconWPA in its series Game Theory and Information with number 9711003.

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Length: 38 pages
Date of creation: 25 Nov 1997
Date of revision:
Handle: RePEc:wpa:wuwpga:9711003
Note: Type of Document - pdf; prepared on pc-latex; to print on postscript; pages: 38; figures: none. comments welcome
Contact details of provider: Web page: http://econwpa.repec.org

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  1. Jackson, Matthew O, 1992. "Implementation in Undominated.Strategies: A Look at Bounded Mechanisms," Review of Economic Studies, Wiley Blackwell, vol. 59(4), pages 757-75, October.
  2. McLennan, Andrew & Sonnenschein, Hugo, 1991. "Sequential Bargaining as a Noncooperative Foundation for Walrasian Equilibrium," Econometrica, Econometric Society, vol. 59(5), pages 1395-1424, September.
  3. Dale T. Mortensen, 1979. "The Matching Process as a Non-Cooperative/Bargaining Game," Discussion Papers 384, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  4. Ma, Ching-to & Moore, John & Turnbull, Stephen, 1988. "Stopping agents from "cheating"," Journal of Economic Theory, Elsevier, vol. 46(2), pages 355-372, December.
  5. Maskin, Eric & Sjostrom, Tomas, 2001. "Implementation Theory," Working Papers 5-01-1, Pennsylvania State University, Department of Economics.
  6. Luis Corchón & Sandeep Baliga & Tomas Sjöström, 1995. "The Theory Of Implementation When The Planner Is A Player," Working Papers. Serie AD 1995-14, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  7. Matthew, Jackson O. & Palfrey, Thomas R. & Srivastava, Sanjay., 1990. "Undominated Nash Implementation in Bounded Mechanism," Working Papers 754, California Institute of Technology, Division of the Humanities and Social Sciences.
  8. Kalai, Ehud & Ledyard, John, 1997. "Repeated Implementation," Working Papers 1027, California Institute of Technology, Division of the Humanities and Social Sciences.
  9. Arial Rubinstein & Asher Wolinsky, 1985. "Equilibrium in a Market with Sequential Bargaining," Levine's Working Paper Archive 623, David K. Levine.
  10. Shimer, R. & Smith, L., 1997. "Assortative Matching and Search," Working papers 97-2a, Massachusetts Institute of Technology (MIT), Department of Economics.
  11. JoseHerrero, Maria & Srivastava, Sanjay, 1992. "Implementation via backward induction," Journal of Economic Theory, Elsevier, vol. 56(1), pages 70-88, February.
  12. Hosios, Arthur J, 1990. "On the Efficiency of Matching and Related Models of Search and Unemployment," Review of Economic Studies, Wiley Blackwell, vol. 57(2), pages 279-98, April.
  13. Matthew O. Jackson & Sandro Brusco, 1997. "The Optimal Design of a Market," Discussion Papers 1186, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  14. Mathias Dewatripont & Philippe Aghion & Patrick Rey, 1994. "Renegotiation design with unverifiable information," ULB Institutional Repository 2013/9591, ULB -- Universite Libre de Bruxelles.
  15. Ariel Rubinstein & Asher Wolinsky, 1990. "Renegotiation-Proof Implementation and Time Preferences," STICERD - Theoretical Economics Paper Series /1990/215, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
  16. Neil E. Gretsky & Joseph M. Ostroy & William R. Zame, 1990. "The Nonatomic Assignment Model," UCLA Economics Working Papers 605, UCLA Department of Economics.
  17. Hardman Moore, John & Hart, Oliver, 1985. "Incomplete Contracts and Renegotiation," CEPR Discussion Papers 60, C.E.P.R. Discussion Papers.
  18. Chakravorti, B. & Corchon, L.C., 1992. "Credible Implementation," Papers 76, Bell Communications - Economic Research Group.
  19. Sakovics, J. & Ponsati, C., 1995. "Rubinstein Batgaining with Tow-Sided Options," UFAE and IAE Working Papers 318.95, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  20. Sattinger, Michael, 1995. "Search and the Efficient Assignment of Workers to Jobs," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 36(2), pages 283-302, May.
  21. Judd, Kenneth L., 1985. "The law of large numbers with a continuum of IID random variables," Journal of Economic Theory, Elsevier, vol. 35(1), pages 19-25, February.
  22. Saijo, Tatsuyoshi & Tatamitani, Yoshikatsu & Yamato, Takehiko, 1996. "Toward Natural Implementation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 37(4), pages 949-80, November.
  23. Abreu, Dilip & Matsushima, Hitoshi, 1992. "Virtual Implementation in Iteratively Undominated Strategies: Complete Information," Econometrica, Econometric Society, vol. 60(5), pages 993-1008, September.
  24. Feldman, Mark & Gilles, Christian, 1985. "An expository note on individual risk without aggregate uncertainty," Journal of Economic Theory, Elsevier, vol. 35(1), pages 26-32, February.
  25. Baliga, Sandeep & Sjostrom, Tomas, 1999. "Interactive Implementation," Games and Economic Behavior, Elsevier, vol. 27(1), pages 38-63, April.
  26. Gale, Douglas M, 1986. "Bargaining and Competition Part II: Existence," Econometrica, Econometric Society, vol. 54(4), pages 807-18, July.
  27. Nabil Al-Najjar, 1996. "Aggregation and the Law of Large Numbers in Economies with a Continuum of Agents," Discussion Papers 1160, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  28. Bhaskar Dutta & Arunava Sen & Rajiv Vohra, 1994. "Nash implementation through elementary mechanisms in economic environments," Review of Economic Design, Springer, vol. 1(1), pages 173-203, December.
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