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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.

Suggested Citation

  • Kosenok, Grigory & Severinov, Sergei, 2008. "Individually rational, budget-balanced mechanisms and allocation of surplus," Journal of Economic Theory, Elsevier, vol. 140(1), pages 126-161, May.
  • Handle: RePEc:eee:jetheo:v:140:y:2008:i:1:p:126-161
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    References listed on IDEAS

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    Cited by:

    1. McLean, Richard & Postlewaite, Andrew, 2015. "Implementation with interdependent valuations," Theoretical Economics, Econometric Society, vol. 10(3), September.
    2. Serkan Kucuksenel, 2012. "Interim efficient auctions with interdependent valuations," Journal of Economics, Springer, vol. 106(1), pages 83-93, May.
    3. Bierbrauer, Felix & Ockenfels, Axel & Pollak, Andreas & Rückert, Désirée, 2017. "Robust mechanism design and social preferences," Journal of Public Economics, Elsevier, vol. 149(C), pages 59-80.
    4. Yuval Salant & Ron Siegel, 2016. "Reallocation Costs and Efficiency," American Economic Journal: Microeconomics, American Economic Association, vol. 8(1), pages 203-227, February.
    5. Krähmer, Daniel, 2012. "Auction design with endogenously correlated buyer types," Journal of Economic Theory, Elsevier, vol. 147(1), pages 118-141.
    6. repec:eee:jetheo:v:170:y:2017:i:c:p:56-69 is not listed on IDEAS
    7. Gorkem Celik, 2015. "Implementation by Gradual Revelation," RAND Journal of Economics, RAND Corporation, vol. 46(2), pages 271-296, June.
    8. Kuzmics, Christoph & Steg, Jan-Henrik, 2017. "On public good provision mechanisms with dominant strategies and balanced budget," Journal of Economic Theory, Elsevier, vol. 170(C), pages 56-69.
    9. Neeman, Zvika & Pavlov, Gregory, 2013. "Ex post renegotiation-proof mechanism design," Journal of Economic Theory, Elsevier, vol. 148(2), pages 473-501.
    10. repec:the:publsh:2234 is not listed on IDEAS
    11. Johannes Hörner & Satoru Takahashi & Nicolas Vieille, 2015. "Truthful Equilibria in Dynamic Bayesian Games," Econometrica, Econometric Society, vol. 83(5), pages 1795-1848, September.
    12. Satterthwaite, Mark A. & Williams, Steven R. & Zachariadis, Konstantinos E., 2014. "Optimality versus practicality in market design: A comparison of two double auctions," Games and Economic Behavior, Elsevier, vol. 86(C), pages 248-263.
    13. Mylovanov, Timofiy & Tröger, Thomas, 2012. "Informed principal problems in generalized private values environments," Theoretical Economics, Econometric Society, vol. 7(3), September.
    14. Grüner, Hans Peter, 2008. "Public goods, participation constraints, and democracy: A possibility theorem," CEPR Discussion Papers 7066, C.E.P.R. Discussion Papers.
    15. M. Yenmez, 2015. "Incentive compatible market design with applications," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(3), pages 543-569, August.
    16. Zvika Neeman & Gregory Pavlov, 2010. "Renegotiation-proof Mechanism Design," UWO Department of Economics Working Papers 20101, University of Western Ontario, Department of Economics.

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