Game Theory pp 56-89 | Cite as

Infinite antagonistic games

  • N. N. Vorob’ev
Part of the Applications of Mathematics book series (SMAP, volume 7)


In many of the natural sciences (and recently in various social sciences) it is quite common to replace the study of finite sets with a large number of elements by (corresponding) infinite sets. This method allows us to apply the powerful techniques of mathematical analysis to a great variety of problems. Therefore, if we take the case of a game with a large number of strategies for a player then—regardless of whether he or she actually possesses a finite or infinite number of strategies—it is methodologically natural as well as practically useful to assume that the set of strategies for this player is infinite.


Optimal Strategy Convex Function Payoff Function Mixed Strategy Pure Strategy 
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Copyright information

© Springer-Verlag, New York Inc. 1977

Authors and Affiliations

  • N. N. Vorob’ev
    • 1
  1. 1.Institute for Social Economical QuestionsAcademy of Sciences of the USSRLeningradUSSR

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