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Expected Worth for 2 � 2 Matrix Games with Variable Grid Sizes

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Abstract

In mechanism design with (partially) verifiable information, the revelation principle obtains in full generality if allocations are modelled as the product set of outcomes and verifiable information. Incentive constraints fully characterize the implementable set of these product- allocations. The revelation principle does not generally hold when an allocation is modelled as only an outcome. However, any outcome of an implementable product-allocation is also implementable under this restricted modelling, provided that the mechanism designer can expand communication by adding unverifiable messages and restrict communication by limiting the use of messages. A canonical representation of such mechanisms is presented, implying that an inalienable right of the agent to withhold evidence does not affect implementability.

Suggested Citation

  • Roland Strausz, 2016. "Expected Worth for 2 � 2 Matrix Games with Variable Grid Sizes," Cowles Foundation Discussion Papers 2040, Cowles Foundation for Research in Economics, Yale University.
    • Handle: RePEc:cwl:cwldpp:2040
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    File URL: https://cowles.yale.edu/sites/default/files/d20/d2040.pdf
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    1. Lipman Barton L. & Seppi Duane J., 1995. "Robust Inference in Communication Games with Partial Provability," Journal of Economic Theory, Elsevier, vol. 66(2), pages 370-405, August.
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    9. repec:hal:pseose:halshs-00754592 is not listed on IDEAS
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    More about this item

    Keywords

    Revelation principle; Mechanism Design; Verifiable Information;
    All these keywords.

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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