Methods of symbolic dynamics are applied to construct a description of two-person supergames, i.e., games involving infinite repetition of the same basis matrix game. The behavior of players choosing their moves based only on information about the m previous moves follows a stationary joint probability distribution. Equations for this distribution are derived and it is shown that a mixed extension of the basis game corresponds to its representation as a supergame with m = 0, i.e., with player behavior that ignores the effect of the game history on the choice of player strategies.
展开▼
