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Journal of Automation and Information Sciences
SJR: 0.238 SNIP: 0.464 CiteScore™: 0.27

ISSN Imprimer: 1064-2315
ISSN En ligne: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v47.i9.70
pages 76-85

Uniform Sampling of Fundamental Simplexes as Sets of Players' Mixed Strategies in the Finite Noncooperative Game for Finding Equilibrium Situations with Possible Concessions

Vadim V. Romanuke
Khmelnitskiy National University, Khmelnitskiy


A method is suggested for the uniform sampling of fundamental simplexes as the sets of players' mixed strategies in the finite noncooperative game for its approximate solution. This solution is treated in the sense of equilibrium situations with possible concessions as Nash equilibrium situations are not necessarily to be on a finite simplex lattice. The sampling conditions assume that by changing minimally a situation over nodes of the lattice the players' payoff varies no greater than within its constant value. Building a simplex lattice of the player's mixed strategies set is fulfilled by a cyclic descent from the first pure strategy down to the last one. Retrieval of concession-equilibrium situations can be sped up by parallelizing of arrays multiplication when calculating the expected payoffs.

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