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Individually rational, budget-balanced mechanisms and allocation of surplus

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  • Kosenok, Grigory
  • Severinov, Sergei

Abstract

We investigate the issue of implementation via individually rational ex-post budget-balanced Bayesian mechanisms. We show that all decision rules generating a nonnegative expected social surplus are implementable via such mechanisms if and only if the probability distribution of the agents' type profiles satisfies two conditions: the well-known condition of Crémer and McLean [1988. Full extraction of the surplus in Bayesian and dominant strategy auctions, Econometrica 56, 1247-1257] and the Identifiability condition introduced in this paper. We also show that these conditions are necessary for ex-post efficiency to be attainable with budget balance and individual rationality, and that the expected social surplus in these mechanisms can be distributed in any desirable way. Lastly, we demonstrate that, like Crémer-McLean condition, the Identifiability condition is generic if there are at least three agents.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 140 (2008)
Issue (Month): 1 (May)
Pages: 126-161

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Handle: RePEc:eee:jetheo:v:140:y:2008:i:1:p:126-161

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Web page: http://www.elsevier.com/locate/inca/622869

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  1. 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.
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  8. Richard McLean & Andrew Postlewaite, 2001. "Informational Size and Incentive Compatibility with Aggregate Uncertainty," PIER Working Paper Archive 03-003, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 23 Jan 2003.
  9. d'Aspremont, Claude & Cremer, Jacques & Gerard-Varet, Louis-Andre, 1990. "Incentives and the existence of Pareto-optimal revelation mechanisms," Journal of Economic Theory, Elsevier, vol. 51(2), pages 233-254, August.
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  16. d'Aspremont, Claude & Cremer, Jacques & Gerard-Varet, Louis-Andre, 2004. "Balanced Bayesian mechanisms," Journal of Economic Theory, Elsevier, vol. 115(2), pages 385-396, April.
  17. Claudio Mezzetti, 2004. "Mechanism Design with Interdependent Valuations: Efficiency," Econometrica, Econometric Society, vol. 72(5), pages 1617-1626, 09.
  18. Matsushima, Hitoshi, 1991. "Incentive compatible mechanisms with full transferability," Journal of Economic Theory, Elsevier, vol. 54(1), pages 198-203, June.
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Cited by:
  1. Mylovanov, Timofiy & Tröger, Thomas, 2012. "Informed principal problems in generalized private values environments," Theoretical Economics, Econometric Society, vol. 7(3), September.
  2. Johannes Horner & Satoru Takahashi & Nicolas Vieille, 2014. "Truthful Equilibria in Dynamic Bayesian Games," Levine's Working Paper Archive 786969000000000881, David K. Levine.
  3. Krähmer, Daniel, 2012. "Auction design with endogenously correlated buyer types," Journal of Economic Theory, Elsevier, vol. 147(1), pages 118-141.
  4. Serkan Kucuksenel, 2012. "Interim efficient auctions with interdependent valuations," Journal of Economics, Springer, vol. 106(1), pages 83-93, May.
  5. Zvika Neeman & Gregory Pavlov, 2010. "Renegotiation-proof Mechanism Design," UWO Department of Economics Working Papers 20101, University of Western Ontario, Department of Economics.
  6. Grüner, Hans Peter, 2008. "Public goods, participation constraints, and democracy: A possibility theorem," CEPR Discussion Papers 7066, C.E.P.R. Discussion Papers.
  7. M. Bumin Yenmez, 2009. "Incentive Compatible Market Design with Applications," GSIA Working Papers 2013-E21, Carnegie Mellon University, Tepper School of Business.
  8. Neeman, Zvika & Pavlov, Gregory, 2013. "Ex post renegotiation-proof mechanism design," Journal of Economic Theory, Elsevier, vol. 148(2), pages 473-501.

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