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Implementation in multidimensional dichotomous domains

  • Mishra, Debasis

    ()

    (Economics and Planning Unit, Indian Statistical Institute)

  • Roy, Souvik

    ()

    (Economics and Planning Unit, Indian Statistical Institute)

We consider deterministic dominant strategy implementation in multidimensional dichotomous domains in private values and quasi-linear utility setting. In such multidimensional domains, an agent’s type is characterized by a single number, the value of the agent, and a non-empty set of acceptable alternatives. Each acceptable alternative gives the agent utility equal to his value and other alternatives give him zero utility. We identity a new condition, which we call generation monotonicity, that is necessary and sufficient for implementability in any dichotomous domain. If such a domain satisfies a richness condition, then a weaker version of generation monotonicity, which we call 2-generation monotonicity (equivalent to 3-cycle monotonicity), is necessary and sufficient for implementation. We use this result to derive the optimal mechanism in a one-sided matching problem with agents having dichotomous types.

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Article provided by Econometric Society in its journal Theoretical Economics.

Volume (Year): 8 (2013)
Issue (Month): 2 (May)
Pages:

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Handle: RePEc:the:publsh:1239
Contact details of provider: Web page: http://econtheory.org

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