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Separability and decomposition in mechanism design with transfers

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  • Mishra, Debasis
  • Nath, Swaprava
  • Roy, Souvik

Abstract

In private values quasi-linear environment, we consider problems where allocation decisions along multiple components have to be made. Every agent has additively separable valuation over the components. We show that every unanimous and dominant strategy implementable allocation rule in this problem is a component-wise weighted utilitarian rule, which assigns non-negative weight vectors to agents in each component and chooses an alternative in each component by maximizing the weighted sum of valuations in that component. A corollary of our result is that every unanimous and dominant strategy implementable allocation rule can be almost decomposed (modulo tie-breaking) into dominant strategy implementable allocation rules along each component.

Suggested Citation

  • Mishra, Debasis & Nath, Swaprava & Roy, Souvik, 2018. "Separability and decomposition in mechanism design with transfers," Games and Economic Behavior, Elsevier, vol. 109(C), pages 240-261.
    • Handle: RePEc:eee:gamebe:v:109:y:2018:i:c:p:240-261
    DOI: 10.1016/j.geb.2017.12.018
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    References listed on IDEAS

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    1. Mishra, Debasis & Sen, Arunava, 2012. "Robertsʼ Theorem with neutrality: A social welfare ordering approach," Games and Economic Behavior, Elsevier, vol. 75(1), pages 283-298.
    2. Lars-Gunnar Svensson & Pär Torstensson, 2008. "Strategy-proof allocation of multiple public goods," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 30(2), pages 181-196, February.
    3. Thierry Marchant & Debasis Mishra, 2015. "Mechanism design with two alternatives in quasi-linear environments," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(2), pages 433-455, February.
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    More about this item

    Keywords

    Separable types; Affine maximizer; Roberts' theorem;
    All these keywords.

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design

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