A class of antagonistic games with the properties of skew-symmetric matrix game is selected. Under certain conditions, noncooperative game of many individuals is equivalent to a game from this class. If a game of many individuals is finite, then the payoff function of the equivalent antagonistic game is bilinear and skew-symmetric.
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Gol'shtejn E.G. (2009): Ob odnoj zadache ravnovesiya, cvyazannoj s beskoalitsionnymi igrami // Ehkonomika i mat. metody. T. 45. № 4.
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