Nash equilibria in the context of convex sets

Daina  Sūdžiūtė

doi:10.15388/LMR.2001.34730

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Daina Sūdžiūtė

Vilnius University

Published 2001-12-17

https://doi.org/10.15388/LMR.2001.34730

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Sūdžiūtė, D. (2001) “Nash equilibria in the context of convex sets”, Lietuvos matematikos rinkinys, 41(spec.), pp. 552–558. doi:10.15388/LMR.2001.34730.

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Abstract

Nash equilibria (α, β), α > O, β > O, are investigated in bimatrix (3 x 3) game. Necessary and sufficient conditions for existing of such Nash equilibria are obtained (in theorems 4 and 8), and the algorithms for calculating them too. Some ideas of convex analysis are employed.

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