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Optimal mechanism design when both allocative inefficiency and expenditure inefficiency matter

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  • Yoon, Kiho

Abstract

We characterize the structure of optimal assignment rules when both allocative inefficiency and expenditure inefficiency (e.g., rent-seeking) are present. We find that the optimal structure critically depends on how the hazard rate of the value distribution behaves, and that it is often optimal to use probabilistic assignment rules so that the winner of the object is not always the one with the highest valuation. We also find that the inefficiency of the optimal assignment rule decreases as the variability of the value distribution increases.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Mathematical Economics.

Volume (Year): 47 (2011)
Issue (Month): 6 ()
Pages: 670-676

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Handle: RePEc:eee:mateco:v:47:y:2011:i:6:p:670-676

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Web page: http://www.elsevier.com/locate/jmateco

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Keywords: Mechanism; Random assignment; Winner-take-all assignment; Rank-order rules; Expenditure inefficiency;

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  1. Chakravarty, Surajeet & Kaplan, Todd R., 2006. "Optimal Allocation without Transfer Payments," MPRA Paper 18481, University Library of Munich, Germany, revised 02 Mar 2009.
  2. Daniele Condorelli, 2009. "What money can't buy: allocations with priority lists, lotteries and queues," Discussion Papers 1482, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  3. Benny Moldovanu & Aner Sela & Xianwen Shi, 2007. "Contests for Status," Journal of Political Economy, University of Chicago Press, vol. 115, pages 338-363.
  4. Spence, A Michael, 1973. "Job Market Signaling," The Quarterly Journal of Economics, MIT Press, vol. 87(3), pages 355-74, August.
  5. Jerry R. Green & Nancy L. Stokey, 1982. "A Comparison of Tournaments and Contracts," NBER Working Papers 0840, National Bureau of Economic Research, Inc.
  6. Erwin Amann & Wolfgang Leininger, 1995. "Expected revenue of all-pay and first-price sealed-bid auctions with affiliated signals," Journal of Economics, Springer, vol. 61(3), pages 273-279, October.
  7. Lazear, Edward P & Rosen, Sherwin, 1981. "Rank-Order Tournaments as Optimum Labor Contracts," Journal of Political Economy, University of Chicago Press, vol. 89(5), pages 841-64, October.
  8. Taylor, Grant A. & Tsui, Kevin K. K. & Zhu, Lijing, 2003. "Lottery or waiting-line auction?," Journal of Public Economics, Elsevier, vol. 87(5-6), pages 1313-1334, May.
  9. Heidrun C. Hoppe & Benny Moldovanu & Aner Sela, 2009. "The Theory of Assortative Matching Based on Costly Signals," Review of Economic Studies, Oxford University Press, vol. 76(1), pages 253-281.
  10. Bogomolnaia, Anna & Moulin, Herve, 2001. "A New Solution to the Random Assignment Problem," Journal of Economic Theory, Elsevier, vol. 100(2), pages 295-328, October.
  11. Bagnoli, M. & Bergstrom, T., 1989. "Log-Concave Probability And Its Applications," Papers 89-23, Michigan - Center for Research on Economic & Social Theory.
  12. Suen, Wing, 1989. "Rationing and Rent Dissipation in the Presence of Heterogeneous Individuals," Journal of Political Economy, University of Chicago Press, vol. 97(6), pages 1384-94, December.
  13. Hylland, Aanund & Zeckhauser, Richard, 1979. "The Efficient Allocation of Individuals to Positions," Journal of Political Economy, University of Chicago Press, vol. 87(2), pages 293-314, April.
  14. Winston Koh & Zhenlin Yang & Lijing Zhu, 2006. "Lottery Rather than Waiting-line Auction," Social Choice and Welfare, Springer, vol. 27(2), pages 289-310, October.
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Cited by:
  1. Surajeet Chakravarty & Todd R. Kaplan, 2010. "Optimal Allocation without Transfer Payments," Discussion Papers 1004, Exeter University, Department of Economics.
  2. Todd R. Kaplan & Shmuel Zamir, 2014. "Advances in Auctions," Discussion Paper Series dp662, The Center for the Study of Rationality, Hebrew University, Jerusalem.
  3. Kleiner, Andreas & Drexl, Moritz, 2013. "Why Voting? A Welfare Analysis," Annual Conference 2013 (Duesseldorf): Competition Policy and Regulation in a Global Economic Order 79886, Verein für Socialpolitik / German Economic Association.
  4. Daniele Condorelli, 2009. "What money can't buy: allocations with priority lists, lotteries and queues," Discussion Papers 1482, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  5. Condorelli, Daniele, 2012. "What money canʼt buy: Efficient mechanism design with costly signals," Games and Economic Behavior, Elsevier, vol. 75(2), pages 613-624.

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