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Nash-implementation of the no-envy solution on symmetric domains of economies

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  • Doğan, Battal

Abstract

We show that a simple game form, which resembles the “Divide-and-Choose” procedure, Nash-implements the no-envy solution on domains of economies where the set of feasible allocations is symmetric (an allocation obtained from a feasible allocation by interchanging the bundles of any two agents is also feasible) and preferences are complete (each agent can compare any two bundles). Our result extends a result by Thomson (2005) and it is applicable to a wide class of models including the classical model of fair allocation, the unidimensional single-peaked model, cake division model, and allocation of indivisible objects with monetary transfers. We show that, even when the preferences exhibit consumption externalities, an extension of the no-envy solution is Nash-implementable on general domains of economies.

Suggested Citation

  • Doğan, Battal, 2016. "Nash-implementation of the no-envy solution on symmetric domains of economies," Games and Economic Behavior, Elsevier, vol. 98(C), pages 165-171.
    • Handle: RePEc:eee:gamebe:v:98:y:2016:i:c:p:165-171
    DOI: 10.1016/j.geb.2016.06.010
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    References listed on IDEAS

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    More about this item

    Keywords

    No-envy; Nash-implementation; Divide-and-Transpose;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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