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Nash Implementation in Rationing Problems with Single-Crossing Preferences

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  • Doghmi Ahmed

    (University of Rabat, Mohammadia School of engineering, the QSM Laboratory, Avenue Ibnsina B. P. 765 Agdal, 10100 Rabat, Morocco; and University of Caen, Center for Research in Economics and Management (UMR CNRS 6211), 19 Rue Claude Bloch 14032 Caen, Cedex, France; and National Institute of Statistics and Applied Economics, Madinat Al Irfane, Rabat Institutes, 10100 Rabat, Morocco)

Abstract

In this paper we study the rationing problems in using the issue of Nash implementation in an environment of single-crossing preferences. We show that strict monotonicity (i) implies strict weak no-veto power and unanimity and (ii) is equivalent to Maskin monotonicity, which is vacuously checked in this domain. We show that any social choice correspondence that has full range can be implemented in Nash equilibria.

Suggested Citation

  • Doghmi Ahmed, 2014. "Nash Implementation in Rationing Problems with Single-Crossing Preferences," Mathematical Economics Letters, De Gruyter, vol. 1(2-4), pages 69-74, July.
    • Handle: RePEc:bpj:maecol:v:1:y:2014:i:2-4:p:6:n:4
    DOI: 10.1515/mel-2013-0019
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    References listed on IDEAS

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    17. Ahmed Doghmi & Abderrahmane Ziad, 2013. "Nash Implementation in Private Good Economies with Single-Plateaued Preferences," Economics Working Paper Archive (University of Rennes & University of Caen) 201311, Center for Research in Economics and Management (CREM), University of Rennes, University of Caen and CNRS.
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    More about this item

    Keywords

    Nash implementation; Rationing problem; Single-crossing preferences; Nash implementation; Rationing problem; Single-crossing preferences;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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