Two agents have to choose one of three alternatives. Their ordinal rankings of these alternatives are commonly known among them. The rankings are diametrically opposed to each other. Ex-ante efficiency requires that they reach a compromise, that is choose the alternative which they both rank second, if and only if the weighed sum of their von Neumann Morgenstern utilities from this alternative exceeds the weighted sum of utilities when either agent's most preferred alternative is chosen. We assume that the von Neumann Morgenstern utilities from this alternative exceeds the weighted sum of utilities when either agent's most preferred alternative is chosen. We ssume that the von Neumann Morgenstern utilities of the middle ranked alternative are independent and identically distributed, privately observed random variables, and ask whether there are incentive compatible decision rules which elicit utilities and implement efficient decisions. We show that no such decision rules exist if the distribution of agents' types has a density with full support. We also study the problem of finding second-best decision rules in our set-up, and explain how this problem differs from more familiar second-best problems. We give analytical and numberical insights into the nature of second-best rules. The compromise problem studied in this paper is closely related to a public goods problem in which individual agents face a liquidity constraint, but no participation constraint needs to be satisfied.
|Date of creation:||Jun 2008|
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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.:
- Paul R. Milgrom, 1985. "Auction Theory," Cowles Foundation Discussion Papers 779, Cowles Foundation for Research in Economics, Yale University.
- Matthew O Jackson & Hugo F Sonnenschein, 2007. "Overcoming Incentive Constraints by Linking Decisions -super-1," Econometrica, Econometric Society, vol. 75(1), pages 241-257, 01.
- Gueth,Werner & Hellwig,Martin, 1986.
"The private supply of a public good,"
Discussion Paper Serie A
40, University of Bonn, Germany.
- Border, Kim C, 1991. "Implementation of Reduced Form Auctions: A Geometric Approach," Econometrica, Econometric Society, vol. 59(4), pages 1175-1187, July.
- Milgrom,Paul, 2004.
"Putting Auction Theory to Work,"
Cambridge University Press, number 9780521551847, December.
- Bengt Holmstrom & Roger B. Myerson, 1981.
"Efficient and Durable Decision Rules with Incomplete Information,"
495, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Holmstrom, Bengt & Myerson, Roger B, 1983. "Efficient and Durable Decision Rules with Incomplete Information," Econometrica, Econometric Society, vol. 51(6), pages 1799-1819, November.
- Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
- Rob, Rafael, 1989.
"Pollution claim settlements under private information,"
Journal of Economic Theory,
Elsevier, vol. 47(2), pages 307-333, April.
- Rob, R., 1988. "Pollution Claim Settlements Under Private Information," Papers 19-88, Tel Aviv.
- 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.
- 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.
- Myerson, Roger B. & Satterthwaite, Mark A., 1983.
"Efficient mechanisms for bilateral trading,"
Journal of Economic Theory,
Elsevier, vol. 29(2), pages 265-281, April.
- Dutta, Bhaskar & Peter, Hans & Sen, Arunava, 2005.
"Strategy-proof Cardinal Decision Schemes,"
The Warwick Economics Research Paper Series (TWERPS)
722, University of Warwick, Department of Economics.
- Bhaskar Dutta & Hans Peters & Arunava Sen, 2007. "Strategy-proof Cardinal Decision Schemes," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 28(1), pages 163-179, January.
- 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.
- Peter Cramton & Robert Gibbons & Paul Klemperer, 1985.
"Dissolving a Partnership Efficiently,"
406, Massachusetts Institute of Technology (MIT), Department of Economics.
- George J. Mailath & Andrew Postlewaite, 1990. "Asymmetric Information Bargaining Problems with Many Agents," Review of Economic Studies, Oxford University Press, vol. 57(3), pages 351-367.
- Rafael Hortala-Vallve, 2012.
Journal of Theoretical Politics,
, vol. 24(4), pages 526-554, October.
- Martin F. Hellwig, 2003. "Public-Good Provision with Many Participants," Review of Economic Studies, Oxford University Press, vol. 70(3), pages 589-614.
- d'ASPREMONT, Claude & GERARD-VARET, Louis-André, "undated".
"Incentives and incomplete information,"
CORE Discussion Papers RP
354, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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