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Incentive compatible market design with applications

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  • M. Yenmez

Abstract

This paper studies markets for heterogeneous goods using mechanism-design theory. For each combination of desirable properties, we derive an assignment process with these properties in the form of a corresponding direct-revelation game, or we show that it does not exist. Each participant’s utility is quasi-linear in money, and depends upon the allocation that he gets and his privately known multidimensional ‘type.’ The key properties are incentive compatibility, individual rationality, efficiency, and budget balance. The main results characterize mechanisms that are ex post incentive compatible in combination with other properties. Copyright Springer-Verlag Berlin Heidelberg 2015

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  • 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.
  • Handle: RePEc:spr:jogath:v:44:y:2015:i:3:p:543-569
    DOI: 10.1007/s00182-014-0444-8
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    2. Carbajal, Juan Carlos & Ely, Jeffrey C., 2013. "Mechanism design without revenue equivalence," Journal of Economic Theory, Elsevier, vol. 148(1), pages 104-133.
    3. Long, Yan & Mishra, Debasis & Sharma, Tridib, 2017. "Balanced ranking mechanisms," Games and Economic Behavior, Elsevier, vol. 105(C), pages 9-39.
    4. De, Parikshit & Mitra, Manipushpak, 2019. "Balanced implementability of sequencing rules," Games and Economic Behavior, Elsevier, vol. 118(C), pages 342-353.
    5. Fujinaka, Yuji & Miyakawa, Toshiji, 2020. "Ex-post incentive compatible and individually rational assignments in housing markets with interdependent values," Journal of Mathematical Economics, Elsevier, vol. 91(C), pages 157-164.
    6. M. Yenmez, 2014. "Pricing in position auctions and online advertising," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(1), pages 243-256, January.
    7. Alva, Samson & Manjunath, Vikram, 2020. "The impossibility of strategy-proof, Pareto efficient, and individually rational rules for fractional matching," Games and Economic Behavior, Elsevier, vol. 119(C), pages 15-29.
    8. M. Bumin Yenmez, 2013. "Incentive-Compatible Matching Mechanisms: Consistency with Various Stability Notions," American Economic Journal: Microeconomics, American Economic Association, vol. 5(4), pages 120-141, November.
    9. Loertscher, Simon & Mezzetti, Claudio, 2019. "The deficit on each trade in a Vickrey double auction is at least as large as the Walrasian price gap," Journal of Mathematical Economics, Elsevier, vol. 84(C), pages 101-106.

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    More about this item

    Keywords

    Auctions; Matching; Incomplete information; Incentive compatibility; Multidimensional types; C71; C78; D82; D44;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions

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