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The Dilemma Facing Guests Enjoying a Party

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  • Mullat, Joseph E.

Abstract

A partially ordered set formalizes and generalizes the intuitive notion of ordering, sequencing, or arrangement of the elements in the set. In the present paper under Monotone (or Monotonic) System we understand a totality of sets of guests charity positions arranging guests utilities possessing monotone (monotonic) property, which reflects the dynamic nature of utilities. Utilities are increasing or decreasing along with the partial order induced by subsets of some general set. The theory produces Greedy type algorithms, which guarantee the optimal solution.

Suggested Citation

  • Mullat, Joseph E., 2016. "The Dilemma Facing Guests Enjoying a Party," MPRA Paper 70785, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:70785
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    File URL: https://mpra.ub.uni-muenchen.de/70785/1/MPRA_paper_70785.pdf
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    References listed on IDEAS

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    1. Alexander Genkin & Ilya Muchnik, 1993. "Fixed points approach to clustering," Journal of Classification, Springer;The Classification Society, vol. 10(2), pages 219-240, December.
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    More about this item

    Keywords

    Game; Monotone; Greedy; System; Ordering;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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