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Optimal Mechanism Design: Type-Independent Preference Orderings

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  • Hitoshi Matsushima

    (Faculty of Economics, The University of Tokyo)

Abstract

We investigate revenue maximization in general allocation problems with incomplete information, where we assume quasi-linearity, private values, independent type distributions, and single-dimensionality of type spaces. We require a mechanism to satisfy strategy-proofness and ex-post individual rationality. We assume that each player has a type-independent preference ordering over deterministic allocations. We show that the Myerson’s technique to solve the incentive-constrained revenue maximization problem in single-unit auctions can be applied to general allocation problems, where the incentive-constrained revenue maximization problem can be reduced to the simple maximization problem of the sum of players’ marginal revenues without imposing any incentive constraint.

Suggested Citation

  • Hitoshi Matsushima, 2015. "Optimal Mechanism Design: Type-Independent Preference Orderings," CIRJE F-Series CIRJE-F-955, CIRJE, Faculty of Economics, University of Tokyo.
    • Handle: RePEc:tky:fseres:2015cf955
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    File URL: http://www.cirje.e.u-tokyo.ac.jp/research/dp/2015/2015cf955.pdf
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    References listed on IDEAS

    as
    1. Benjamin Edelman & Michael Schwarz, 2010. "Optimal Auction Design and Equilibrium Selection in Sponsored Search Auctions," Harvard Business School Working Papers 10-054, Harvard Business School.
    2. Hitoshi Matsushima, 2012. "Optimal Multiunit Exchange Design," CARF F-Series CARF-F-279, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    3. Myerson, Roger B. & Satterthwaite, Mark A., 1983. "Efficient mechanisms for bilateral trading," Journal of Economic Theory, Elsevier, vol. 29(2), pages 265-281, April.
    4. Levent Ülkü, 2013. "Optimal combinatorial mechanism design," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(2), pages 473-498, June.
    5. Paul Milgrom & Ilya Segal, 2002. "Envelope Theorems for Arbitrary Choice Sets," Econometrica, Econometric Society, vol. 70(2), pages 583-601, March.
    6. Benjamin Edelman & Michael Schwarz, 2010. "Optimal Auction Design and Equilibrium Selection in Sponsored Search Auctions," American Economic Review, American Economic Association, vol. 100(2), pages 597-602, May.
    7. Hitoshi Matsushima, 2012. "Optimal Multiunit Exchange Design with Single-Dimensionality," CARF F-Series CARF-F-292, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo, revised Sep 2012.
    8. Nicolás Figueroa & Vasiliki Skreta, 2011. "Optimal allocation mechanisms with single-dimensional private information," Review of Economic Design, Springer;Society for Economic Design, vol. 15(3), pages 213-243, September.
    9. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
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