TEKS: Chapter 111. Mathematics See All Teacher Resources

111.46.c.6

(6) Game (or competition) theory. The student uses knowledge of basic game theory concepts to calculate optimal strategies. The student analyzes situations and identifies the use of gaming strategies. The student is expected to:

• (A) recognize competitive game situations;

• (B) represent a game with a matrix;

• (C) identify basic game theory concepts and vocabulary;

• (D) determine the optimal pure strategies and value of a game with a saddle point by means of the minimax technique;

• (E) explain the concept of and need for a mixed strategy;

• (F) compute the optimal mixed strategy and the expected value for a player in a game who has only two pure strategies;

• (G) model simple two-by-two, bimatrix games of partial conflict;

• (H) identify the nature and implications of the game called "Prisoners' Dilemma";

• (I) explain the game known as "chicken";

• (J) identify examples that illustrate the prevalence of Prisoners' Dilemma and chicken in our society; and

• (K) determine when a pair of strategies for two players is in equilibrium.