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ISSN Печать: 1064-2315
ISSN Онлайн: 2163-9337
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Uniform Sampling of Fundamental Simplexes as Sets of Players' Mixed Strategies in the Finite Noncooperative Game for Finding Equilibrium Situations with Possible Concessions
Краткое описание
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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Romanuke Vadim, Evaluation of Payoff Matrices for Non-Cooperative Games via Processing Binary Expert Estimations, Information Technology and Management Science, 19, 1, 2016. Crossref
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Romanuke Vadim, Acceptable-and-attractive Approximate Solution of a Continuous Non-Cooperative Game on a Product of Sinusoidal Strategy Functional Spaces, Foundations of Computing and Decision Sciences, 46, 2, 2021. Crossref
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Romanuke Vadim, Equilibrium stacks for a three-person game on a product of staircase-function continuous and finite strategy spaces, Foundations of Computing and Decision Sciences, 47, 1, 2022. Crossref
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Romanuke Vadim V., Smooth Non-increasing Square Spatial Extents of Filters in Convolutional Layers of CNNs for Image Classification Problems, Applied Computer Systems, 23, 1, 2018. Crossref
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Romanuke Vadim, Division-by-q dichotomization for interval uncertainty reduction by cutting off equal parts from the left and right based on expert judgments under short-termed observations, Foundations of Computing and Decision Sciences, 45, 2, 2020. Crossref