DISCM.MATH.6.F
Compute the optimal mixed strategy and the expected value for a player in a game who has only two pure strategies.
Discrete Mathematics for Problem Solving · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
optimal mixed strategyexpected valueplayergamepure strategies
Skills
- compute (optimal mixed strategy for a player with two pure strategies in a game) #dok2
- compute (expected value for a player using a mixed strategy) #dok2
- analyze (payoff matrix with two pure strategies per player) #dok3
- model (decision-making using mixed strategies in simple games) #dok3
Learning Targets
- I can compute the optimal mixed strategy for a player in a game with two pure strategies. #dok2
- I can compute the expected value for a player who uses a mixed strategy in a two-by-two game. #dok2
- I can analyze a payoff matrix to determine the optimal mixed strategies for both players. #dok3
- I can model decision-making in simple games using mixed strategies. #dok3
Big Ideas
- Mixed strategies are used in games where no single pure strategy is always optimal.
- The expected value helps players anticipate the average outcome of employing a mixed strategy.
Essential Questions
- What is a mixed strategy, and when is it necessary to use one in a game?
- How can you determine the optimal mixed strategy for a player in a game with two pure strategies?
- Why is expected value important when using mixed strategies in game theory?
- How do you compute the expected value for a player when mixed strategies are involved?
- What real-world situations might require the use of optimal mixed strategies?