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Efficient Compromising

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  • Tilman Börgers
  • Peter Postl

Abstract

Two agents must select one of three alternatives. Their ordinal rankings are commonly known and diametrically opposed. Efficiency requires choosing the alternative the agents rank second whenever the weighted sum of their von Neumann Morgenstern utilities is higher than under either agent's favorite alternative. The agents' utilities of the middle-ranked alternative are i.i.d., privately observed random variables. In our setup, which is closely related to a public goods problem where agents face liquidity constraints but no participation constraints, decision rules that truthfully elicit utilities and implement efficient decisions do not exist. We provide analytical and numerical results on second-best rules.
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Suggested Citation

  • Tilman Börgers & Peter Postl, 2005. "Efficient Compromising," Levine's Bibliography 784828000000000188, UCLA Department of Economics.
  • Handle: RePEc:cla:levrem:784828000000000188
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    File URL: http://www.ucl.ac.uk/~uctpa01/Compromising.pdf
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    References listed on IDEAS

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    1. Bhaskar Dutta & Hans Peters & Arunava Sen, 2008. "Strategy-proof cardinal decision schemes," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 30(4), pages 701-702, May.
    2. Werner Güth & Martin Hellwig, 1986. "The private supply of a public good," Journal of Economics, Springer, vol. 5(1), pages 121-159, December.
    3. Border, Kim C, 1991. "Implementation of Reduced Form Auctions: A Geometric Approach," Econometrica, Econometric Society, vol. 59(4), pages 1175-1187, July.
    4. Krishna, Vijay, 2009. "Auction Theory," Elsevier Monographs, Elsevier, edition 2, number 9780123745071.
    5. Myerson, Roger B. & Satterthwaite, Mark A., 1983. "Efficient mechanisms for bilateral trading," Journal of Economic Theory, Elsevier, vol. 29(2), pages 265-281, April.
    6. Cramton, Peter & Gibbons, Robert & Klemperer, Paul, 1987. "Dissolving a Partnership Efficiently," Econometrica, Econometric Society, vol. 55(3), pages 615-632, May.
    7. Holmstrom, Bengt & Myerson, Roger B, 1983. "Efficient and Durable Decision Rules with Incomplete Information," Econometrica, Econometric Society, vol. 51(6), pages 1799-1819, November.
    8. Rafael Hortala-Vallve, 2012. "Qualitative voting," Journal of Theoretical Politics, , vol. 24(4), pages 526-554, October.
    9. Matthew O Jackson & Hugo F Sonnenschein, 2007. "Overcoming Incentive Constraints by Linking Decisions -super-1," Econometrica, Econometric Society, vol. 75(1), pages 241-257, January.
    10. d'Aspremont, Claude & Gerard-Varet, Louis-Andre, 1979. "Incentives and incomplete information," Journal of Public Economics, Elsevier, vol. 11(1), pages 25-45, February.
    11. Paul R. Milgrom, 1985. "Auction Theory," Cowles Foundation Discussion Papers 779, Cowles Foundation for Research in Economics, Yale University.
    12. George J. Mailath & Andrew Postlewaite, 1990. "Asymmetric Information Bargaining Problems with Many Agents," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(3), pages 351-367.
    13. Rob, Rafael, 1989. "Pollution claim settlements under private information," Journal of Economic Theory, Elsevier, vol. 47(2), pages 307-333, April.
    14. Martin F. Hellwig, 2003. "Public-Good Provision with Many Participants," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 70(3), pages 589-614.
    15. Satterthwaite, Mark Allen, 1975. "Strategy-proofness and Arrow's conditions: Existence and correspondence theorems for voting procedures and social welfare functions," Journal of Economic Theory, Elsevier, vol. 10(2), pages 187-217, April.
    16. Milgrom,Paul, 2004. "Putting Auction Theory to Work," Cambridge Books, Cambridge University Press, number 9780521536721.
    17. Cremer, Jacques & McLean, Richard P, 1985. "Optimal Selling Strategies under Uncertainty for a Discriminating Monopolist When Demands Are Interdependent," Econometrica, Econometric Society, vol. 53(2), pages 345-361, March.
    18. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
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    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General

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