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Undominated Nash Implementaion with Collusion and Renegotiation


  • Tomas Sjostrom


This paper looks at implementation in economic environments when agents have perfect information about the state of the world, but cannot commit not to renegotiate bad outcomes or to collude against each other. If renegotiation satisfies a weak condition of disagreement point monotonicity, then any Pareto-efficient social choice function can be implemented if there are at least three agents who play undominated Nash equilibria. The mechanism does not use modulo or integer games, has no bad mixed strategy equilibria and is "bounded".
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Tomas Sjostrom, 1997. "Undominated Nash Implementaion with Collusion and Renegotiation," Harvard Institute of Economic Research Working Papers 1791, Harvard - Institute of Economic Research.
  • Handle: RePEc:fth:harver:1791

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    References listed on IDEAS

    1. Hart, Oliver & Moore, John, 1990. "Property Rights and the Nature of the Firm," Journal of Political Economy, University of Chicago Press, vol. 98(6), pages 1119-1158, December.
    2. Eric Maskin & John Moore, 1999. "Implementation and Renegotiation," Review of Economic Studies, Oxford University Press, vol. 66(1), pages 39-56.
    3. Hart, O. & Moore, J., 1989. "Default And Renegotiation: A Dynamic Model Of Debt," Working papers 520, Massachusetts Institute of Technology (MIT), Department of Economics.
    4. Bolton, Patrick & Scharfstein, David S, 1990. "A Theory of Predation Based on Agency Problems in Financial Contracting," American Economic Review, American Economic Association, vol. 80(1), pages 93-106, March.
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    6. Harris, Milton & Raviv, Artur, 1995. "The Role of Games in Security Design," Review of Financial Studies, Society for Financial Studies, vol. 8(2), pages 327-367.
    7. Bulow, Jeremy & Rogoff, Kenneth, 1989. "A Constant Recontracting Model of Sovereign Debt," Journal of Political Economy, University of Chicago Press, vol. 97(1), pages 155-178, February.
    8. Diamond, Douglas W, 1989. "Reputation Acquisition in Debt Markets," Journal of Political Economy, University of Chicago Press, vol. 97(4), pages 828-862, August.
    9. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    10. Huberman, Gur & Kahn, Charles M., 1988. "Strategic renegotiation," Economics Letters, Elsevier, vol. 28(2), pages 117-121.
    11. Bolton, Patrick & Scharfstein, David S, 1996. "Optimal Debt Structure and the Number of Creditors," Journal of Political Economy, University of Chicago Press, vol. 104(1), pages 1-25, February.
    12. Gale, Douglas & Hellwig, Martin, 1989. "Repudiation and Renegotiation: The Case of Sovereign Debt," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 30(1), pages 3-31, February.
    13. Erik Berglöf & Ernst-Ludwig von Thadden, 1994. "Short-Term versus Long-Term Interests: Capital Structure with Multiple Investors," The Quarterly Journal of Economics, Oxford University Press, vol. 109(4), pages 1055-1084.
    14. Oliver Hart & John Moore, 1994. "A Theory of Debt Based on the Inalienability of Human Capital," The Quarterly Journal of Economics, Oxford University Press, vol. 109(4), pages 841-879.
    15. Franklin Allen, 1983. "Credit Rationing and Payment Incentives," Review of Economic Studies, Oxford University Press, vol. 50(4), pages 639-646.
    16. Douglas Gale & Martin Hellwig, 1985. "Incentive-Compatible Debt Contracts: The One-Period Problem," Review of Economic Studies, Oxford University Press, vol. 52(4), pages 647-663.
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    Cited by:

    1. Matthew O. Jackson, 2001. "A crash course in implementation theory," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(4), pages 655-708.
    2. Neeman, Zvika & Pavlov, Gregory, 2013. "Ex post renegotiation-proof mechanism design," Journal of Economic Theory, Elsevier, vol. 148(2), pages 473-501.
    3. Maskin, Eric & Sjostrom, Tomas, 2002. "Implementation theory," Handbook of Social Choice and Welfare,in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 5, pages 237-288 Elsevier.

    More about this item

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations


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