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Mechanism Design Without Revenue Equivalence

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    Abstract

    We study mechanism design problems in quasi-linear environments where the en- velope theorem and revenue equivalence principle fail due to non-convex and non- differentiable valuations. Despite these obstacles, we obtain a characterization of in- centive compatibility based on the familiar Mirrlees representation of the indirect util- ity and a monotonicity condition on the allocation rule. These conditions pin down the range of possible payoffs as a function solely of the allocation rule, thus providing a revenue inequality. We illustrate the usefulness of our approach in three economic applications where standard techniques do not apply: we derive the optimal selling mechanism in a buyer-seller situation where the buyer has loss-averse preferences; we find a zero payment (hence budget-balanced) efficient mechanism in a public goods lo- cation model; and we consider a principal–agent model with ex post non-contractible actions available to the agent.

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    File URL: http://www.uq.edu.au/economics/abstract/458.pdf
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    Bibliographic Info

    Paper provided by School of Economics, University of Queensland, Australia in its series Discussion Papers Series with number 458.

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    Date of creation: 2012
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    Handle: RePEc:qld:uq2004:458

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    1. M. Bumin Yenmez, 2009. "Incentive Compatible Market Design with Applications," GSIA Working Papers 2013-E21, Carnegie Mellon University, Tepper School of Business.
    2. Kos, Nenad & Messner, Matthias, 2013. "Extremal incentive compatible transfers," Journal of Economic Theory, Elsevier, vol. 148(1), pages 134-164.
    3. Sushil Bikhchandani & Shurojit Chatterji & Ron Lavi & Ahuva Mu'alem & Noam Nisan & Arunava Sen, 2006. "Weak Monotonicity Characterizes Deterministic Dominant-Strategy Implementation," Econometrica, Econometric Society, vol. 74(4), pages 1109-1132, 07.
    4. Olszewski, Wojciech & Chung, Kim-Sau, 2007. "A non-differentiable approach to revenue equivalence," Theoretical Economics, Econometric Society, vol. 2(4), December.
    5. First:Birgit Heydenreich & Rudolf Muller & Marc Uetz & Rakesh Vohra, 2007. "Characterization of Revenue Equivalence," Discussion Papers 1448, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    6. Carbajal, Juan Carlos, 2010. "On the uniqueness of Groves mechanisms and the payoff equivalence principle," Games and Economic Behavior, Elsevier, vol. 68(2), pages 763-772, March.
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    Cited by:
    1. Juan Carlos Carbajal & Jeffrey C. Ely, 2012. "Optimal Contracts for Loss Averse Consumers," Discussion Papers Series 460, School of Economics, University of Queensland, Australia.
    2. Carbajal, Juan Carlos & McLennan, Andrew & Tourky, Rabee, 2013. "Truthful implementation and preference aggregation in restricted domains," Journal of Economic Theory, Elsevier, vol. 148(3), pages 1074-1101.
    3. Mishra, Debasis & Roy, Souvik, 2013. "Implementation in multidimensional dichotomous domains," Theoretical Economics, Econometric Society, vol. 8(2), May.

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