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Efficiency and Voluntary Implementation in Markets with Repeated Pairwise Bargaining

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Author Info
Matthew O. Jackson (California Institute of Technology)
Thomas R. Palfrey (California Institute of Technology)

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Abstract

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://129.3.20.41/eps/game/papers/9711/9711003.pdf
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Publisher Info
Paper provided by EconWPA in its series Game Theory and Information with number 9711003.

Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
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
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Web page: http://129.3.20.41

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Related research
Keywords: implementation; bargaining; matching; search; individual rationality;

Other versions of this item:

Find related papers by JEL classification:
C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy-Making and Implementation

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Sandeep Baliga & Tomas Sjostrom, 1996. "Interactive Implementation," Harvard Institute of Economic Research Working Papers 1751, Harvard - Institute of Economic Research.
    Other versions:
  2. Jackson, Matthew O, 1992. "Implementation in Undominated.Strategies: A Look at Bounded Mechanisms," Review of Economic Studies, Blackwell Publishing, vol. 59(4), pages 757-75, October. [Downloadable!] (restricted)
    Other versions:
  3. Ma, Ching-to & Moore, John & Turnbull, Stephen, 1988. "Stopping agents from "cheating"," Journal of Economic Theory, Elsevier, vol. 46(2), pages 355-372, December. [Downloadable!] (restricted)
  4. 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. [Downloadable!]
  5. 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. [Downloadable!] (restricted)
  6. Baliga, Sandeep & Corchon, Luis C. & Sjostrom, Tomas, 1997. "The Theory of Implementation When the Planner Is a Player," Journal of Economic Theory, Elsevier, vol. 77(1), pages 15-33, November. [Downloadable!] (restricted)
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  7. 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. [Downloadable!] (restricted)
  8. Dale T. Mortensen, 1982. "The Matching Process as a Noncooperative Bargaining Game," NBER Chapters, in: The Economics of Information and Uncertainty, pages 233-258 National Bureau of Economic Research, Inc. [Downloadable!]
  9. Gale, Douglas M, 1986. "Bargaining and Competition Part II: Existence," Econometrica, Econometric Society, vol. 54(4), pages 807-18, July. [Downloadable!] (restricted)
  10. Hosios, Arthur J, 1990. "On the Efficiency of Matching and Related Models of Search and Unemployment," Review of Economic Studies, Blackwell Publishing, vol. 57(2), pages 279-98, April. [Downloadable!] (restricted)
  11. 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. [Downloadable!]
  12. Hart, Oliver D & Moore, John, 1988. "Incomplete Contracts and Renegotiation," Econometrica, Econometric Society, vol. 56(4), pages 755-85, July. [Downloadable!] (restricted)
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  13. Saijo, T. & Tatamitani, Y. & Yamato, T., 1994. "Toward Natural Implementation," Papers 340, Osaka - Institute of Social and Economic Research.
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    • 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.
  14. Rubinstein, Ariel & Wolinsky, Asher, 1992. "Renegotiation-Proof Implementation and Time Preferences," American Economic Review, American Economic Association, vol. 82(3), pages 600-614, June. [Downloadable!] (restricted)
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  15. Robert Shimer & Lones Smith, 2000. "Assortative Matching and Search," Econometrica, Econometric Society, vol. 68(2), pages 343-370, March.
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  16. Kalai, Ehud & Ledyard, John O., 1998. "Repeated Implementation," Journal of Economic Theory, Elsevier, vol. 83(2), pages 308-317, December. [Downloadable!] (restricted)
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  17. 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. [Downloadable!] (restricted)
  18. Rubinstein, Ariel & Wolinsky, Asher, 1985. "Equilibrium in a Market with Sequential Bargaining," Econometrica, Econometric Society, vol. 53(5), pages 1133-50, September. [Downloadable!] (restricted)
  19. McLennan, Andrew & Sonnenschein, Hugo, 1991. "Sequential Bargaining as a Noncooperative Foundation for Walrasian Equilibrium," Econometrica, Econometric Society, vol. 59(5), pages 1395-1424, September. [Downloadable!] (restricted)
  20. Jackson Matthew O. & Palfrey Thomas R. & Srivastava Sanjay, 1994. "Undominated Nash Implementation in Bounded Mechanisms," Games and Economic Behavior, Elsevier, vol. 6(3), pages 474-501, May. [Downloadable!] (restricted)
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  21. 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).
  22. 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. [Downloadable!] (restricted)
  23. JoseHerrero, Maria & Srivastava, Sanjay, 1992. "Implementation via backward induction," Journal of Economic Theory, Elsevier, vol. 56(1), pages 70-88, February. [Downloadable!] (restricted)
  24. Gretsky, Neil E & Ostroy, Joseph M & Zame, William R, 1992. "The Nonatomic Assignment Model," Economic Theory, Springer, vol. 2(1), pages 103-27, January.
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  25. Abreu, Dilip & Matsushima, Hitoshi, 1992. "Virtual Implementation in Iteratively Undominated Strategies: Complete Information," Econometrica, Econometric Society, vol. 60(5), pages 993-1008, September. [Downloadable!] (restricted)
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  26. Chakravorti, B. & Corchon, L.C., 1992. "Credible Implementation," Papers 76, Bell Communications - Economic Research Group.
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Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Sandro Brusco & Matthew O. Jackson, 1997. "The Optimal Design of a Market," Microeconomics 9711003, EconWPA. [Downloadable!]
    Other versions:
  2. Damiano, Ettore & Li, Hao & Suen, Wing, 2004. "Unraveling of Dynamic Sorting," Micro Theory Working Papers damiano-04-08-11-03-02-02, Microeconomics.ca Website, revised 11 Aug 2004. [Downloadable!]
    Other versions:
  3. Pablo Amorós, 2003. "Nash Implementation and Uncertain Renegotiation," Economic Working Papers at Centro de Estudios Andaluces E2003/27, Centro de Estudios Andaluces. [Downloadable!]
    Other versions:
  4. Nadia Burani, 2008. "Matching, search and intermediation with two-sided heterogeneity," Review of Economic Design, Springer, vol. 12(2), pages 75-117, June. [Downloadable!] (restricted)
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