Munich Personal RePEc Archive

The Dilemma Facing Guests Enjoying a Party

Mullat, Joseph E. (2016): The Dilemma Facing Guests Enjoying a Party.

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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.

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