A Mathematical Note on the Value Positivity for Matrix Game

Victoria Kreps and Andrei Matveenko
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Victoria Kreps: Institute for Regional Economic Studies RAS, 38 Serpuhovkaya St., Saint Petersburg, RussiaNational Research University Higher School of Economics, 3 Kantemirovskaya St., St. Petersburg, Russia

International Game Theory Review (IGTR), 2020, vol. 22, issue 01, 1-10

Abstract: We give a criterion of positivity for the value of a matrix game. We use the criterion to investigate conditions of positivity of value for two classes of games: payoff matrices with all elements outside of the main diagonal having the same sign and symmetric payoff matrices.

Keywords: Matrix games; positive value; principal minors; symmetric matrices (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1142/S0219198919500087

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