AbstractTwo 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.
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- 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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- d'ASPREMONT, Claude & GERARD-VARET, Louis-André, .
"Incentives and incomplete information,"
CORE Discussion Papers RP
-354, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Martin F. Hellwig, 2003.
"Public-Good Provision with Many Participants,"
Review of Economic Studies,
Wiley Blackwell, vol. 70(3), pages 589-614, 07.
- Milgrom,Paul, 2004.
"Putting Auction Theory to Work,"
Cambridge University Press, number 9780521551847, April.
- 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, 2008. "Strategy-proof cardinal decision schemes," Social Choice and Welfare, Springer, vol. 30(4), pages 701-702, May.
- Bhaskar Dutta & Hans Peters & Arunava Sen, 2007. "Strategy-proof Cardinal Decision Schemes," Social Choice and Welfare, Springer, vol. 28(1), pages 163-179, January.
- Peter Cramton & Robert Gibbons & Paul Klemperer, 1987.
"Dissolving a Partnership Efficiently,"
Papers of Peter Cramton
87econ, University of Maryland, Department of Economics - Peter Cramton, revised 09 Jun 1998.
- Paul R. Milgrom, 1985. "Auction Theory," Cowles Foundation Discussion Papers 779, Cowles Foundation for Research in Economics, Yale University.
- Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
- Border, Kim C, 1991. "Implementation of Reduced Form Auctions: A Geometric Approach," Econometrica, Econometric Society, vol. 59(4), pages 1175-87, July.
- 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.
- 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.
- Rafael Hortala-Vallve, 2012.
Journal of Theoretical Politics,
, vol. 24(4), pages 526-554, October.
- Werner Güth & Martin Hellwig, 1986.
"The private supply of a public good,"
Journal of Economics,
Springer, vol. 46(1), pages 121-159, December.
- Mailath, George J & Postlewaite, Andrew, 1990. "Asymmetric Information Bargaining Problems with Many Agents," Review of Economic Studies, Wiley Blackwell, vol. 57(3), pages 351-67, July.
- Rob, R., 1988.
"Pollution Claim Settlements Under Private Information,"
19-88, Tel Aviv.
- Rob, Rafael, 1989. "Pollution claim settlements under private information," Journal of Economic Theory, Elsevier, vol. 47(2), pages 307-333, April.
- 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 1799-819, November.
- 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 345-61, March.
- Rafael Hortala-Vallve, 2007.
"Inefficiencies on Linking Decisions,"
Economics Series Working Papers
321, University of Oxford, Department of Economics.
- Hanming Fang & Peter Norman, 2005.
"Overcoming Participation Constraints,"
Cowles Foundation Discussion Papers
1511R, Cowles Foundation for Research in Economics, Yale University, revised Apr 2006.
- Hanming Fang & Peter Norman, 2005. "Overcoming Participation Constraints," Cowles Foundation Discussion Papers 1511, Cowles Foundation for Research in Economics, Yale University.
- Fang, Hanming & Norman, Peter, 2005. "Overcoming Participation Constraints," Microeconomics.ca working papers norman-05-04-22-05-35-30, Vancouver School of Economics, revised 28 Apr 2005.
- Schmitz, Patrick W. & Tröger, Thomas, 2011.
"The (sub-)optimality of the majority rule,"
32716, University Library of Munich, Germany.
- Börgers, Tilman & Smith, Doug, 2014.
"Robust mechanism design and dominant strategy voting rules,"
Econometric Society, vol. 9(2), May.
- Borgers, Tilman & Smith, Doug, 2011. "Robust mechanism design and dominant strategy voting rules," MPRA Paper 37027, University Library of Munich, Germany.
- Alex Gershkov & Benny Moldovanu & Xianwen Shi, 2013. "Optimal Mechanism Design without Money," Working Papers tecipa-481, University of Toronto, Department of Economics.
- Giles, Adam & Postl, Peter, 2014. "Equilibrium and effectiveness of two-parameter scoring rules," Mathematical Social Sciences, Elsevier, vol. 68(C), pages 31-52.
- Jose Apesteguia & Miguel A. Ballester & Rosa Ferrer, 2006. "On the justice of voting systems," Economics Working Papers 987, Department of Economics and Business, Universitat Pompeu Fabra.
- Postl, Peter, 2013. "A ‘divide and choose’ approach to compromising," Economics Letters, Elsevier, vol. 119(2), pages 204-209.
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