TEKS: Chapter 111. Mathematics See All Teacher Resources

111.46.c.7

(7) Theory of moves. The student analyzes the theory of moves (TOM). The student uses the TOM and game theory to analyze conflicts. The student is expected to:

  • (A) compare and contrast TOM and game theory;
  • (B) explain the rules of TOM;
  • (C) describe what is meant by a cyclic game;
  • (D) use a game tree to analyze a two-person game;
  • (E) determine the effect of approaching Prisoners' Dilemma and chicken from the standpoint of TOM and contrast that to the effect of approaching them from the standpoint of game theory;
  • (F) describe the use of TOM in a larger, more complicated game; and
  • (G) model a conflict from literature or from a real-life situation as a two-by-two strict ordinal game and compare the results predicted by game theory and by TOM.