A Multilinear Interaction Model: Algorithms for
Kalai-Smorodinsky Solution Cover Image
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A Multilinear Interaction Model: Algorithms for Kalai-Smorodinsky Solution
A Multilinear Interaction Model: Algorithms for Kalai-Smorodinsky Solution

Author(s): Alessia Donato
Subject(s): Economy
Published by: ASERS Publishing
Keywords: Kalai-Smorodinsky solution; algorithms; Pareto Study of Differentiable Games; n person games; game critical part; maximal boundary; non cooperative games; compromise scenario;

Summary/Abstract: We implement Matlab algorithms for the construction and representation of the payoff space in a certain applicable game models, in 2 and 3 dimensions. More over our algorithms can find the Kalai-Smorodinsky solutions in the same game with some interfering elements. We write down the intersection of the critical zone and the Kalai-Smorodinsky straight-line for finding the compromise solution. We propose a software for the determination of the graphs. In the Appendix we solve the problem in closed form for the 2 and 3 dimensional case and numerically for n = 7.

  • Issue Year: III/2017
  • Issue No: 1(4)
  • Page Range: 47-76
  • Page Count: 30
  • Language: English