PARALLEL ALGORITHM TO FIND BAYES-NASH SOLUTION

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2018

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Institutul de Matematică şi Informatică al Academiei de Ştiinţe a Moldovei

Abstract

We propose to use the new methodology for solving the com- plete and perfect information bimatrix game. To solve the ga- mes of these type we construct the incomplete and imperfect information game generated by the informational extended stra- tegies. Then we construct associated Bayesian game with non- informational extended strategies. For a HPC cluster computing system with shared and distributed memory, we constuct a paral- lel algorithm for computing Bayes-Nash solutions to the bimatrix informational extended games. The complexity and time perfor- mance analysis of the algorithm are provided.

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Keywords

game, Bayes-Nash solution, parallel algorithm, Nash equilibrium, time complexity, communication complexity

Citation

HANCU, B., GLADEI, A. Parallel algorithm to find Bayes-Nash solution to the bimatrix informational extended game. In: Сomputer Science Journal of Moldova. 2018. Nr. 1(76), pp.39 -58. ISSN 1561-4042.

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