<p>We examine a two-player alternating-move game in which the first player chooses a strategy and the response of the second player depends on the choice of the first player. Under certain assumptions, an algorithm for constructing a locally optimal strategy for the first player is proposed and illustrated with an example.</p>

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ALGORITHM FOR CONSTRUCTING LOCALLY OPTIMAL STRATEGY FOR THE FIRST PLAYER IN A GAME PROBLEM WITH ARBITRARY SITUATIONS

  • Akmal Mamatov

摘要

We examine a two-player alternating-move game in which the first player chooses a strategy and the response of the second player depends on the choice of the first player. Under certain assumptions, an algorithm for constructing a locally optimal strategy for the first player is proposed and illustrated with an example.