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On the existence of most-preferred alternatives in complete lattices

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  • Kukushkin, Nikolai S.

Abstract

If a preference ordering on a complete lattice is quasisupermodular, or just satisfies a rather weak analog of the condition, then it admits a maximizer on every subcomplete sublattice if and only if it admits a maximizer on every subcomplete subchain

Suggested Citation

  • Kukushkin, Nikolai S., 2010. "On the existence of most-preferred alternatives in complete lattices," MPRA Paper 27504, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:27504
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    References listed on IDEAS

    as
    1. Shannon, Chris, 1995. "Weak and Strong Monotone Comparative Statics," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(2), pages 209-227, March.
    2. Smith, Tony E, 1974. "On the Existence of Most-Preferred Alternatives," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 15(1), pages 184-194, February.
    3. Kukushkin, Nikolai S., 2009. "Another characterization of quasisupermodularity," MPRA Paper 16594, University Library of Munich, Germany.
    4. Agliardi, Elettra, 2000. "A generalization of supermodularity," Economics Letters, Elsevier, vol. 68(3), pages 251-254, September.
    5. Kukushkin, Nikolai S., 2008. "Maximizing an interval order on compact subsets of its domain," Mathematical Social Sciences, Elsevier, vol. 56(2), pages 195-206, September.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    lattice optimization; quasisupermodularity;

    JEL classification:

    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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