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Restricted domains with Pareto free pairs

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  • Storcken, Ton

    (RS: FSE DKE Mathematics Centre Maastricht, RS: GSBE Theme Conflict & Cooperation, QE Math. Economics & Game Theory)

Abstract

Among the domains restricted by Pareto free pairs we determine those allowing for preference rules being anonymous and independent of irrelevant alternatives. Essentially such preference rules appear to be based on a priority ordered at which adjacent alternatives can only be swapped in order is all agents agree with this swap.

Suggested Citation

  • Storcken, Ton, 2021. "Restricted domains with Pareto free pairs," Research Memorandum 012, Maastricht University, Graduate School of Business and Economics (GSBE).
    • Handle: RePEc:unm:umagsb:2021012
    DOI: 10.26481/umagsb.2021012
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    References listed on IDEAS

    as
    1. Satterthwaite, Mark Allen, 1975. "Strategy-proofness and Arrow's conditions: Existence and correspondence theorems for voting procedures and social welfare functions," Journal of Economic Theory, Elsevier, vol. 10(2), pages 187-217, April.
    2. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
    3. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
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    More about this item

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D79 - Microeconomics - - Analysis of Collective Decision-Making - - - Other

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