DISCM.MATH.6.D
Determine the optimal pure strategies and value of a game with a saddle point by means of the minimax technique.
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 pure strategiesvalue of a gamesaddle pointminimax techniquegamestrategy
Skills
- determine (the optimal pure strategies in a game with a saddle point) #dok2
- determine (the value of a game with a saddle point) #dok2
- apply (the minimax technique to a game matrix) #dok2
- analyze (a game matrix for the presence of a saddle point) #dok3
- justify (the use of optimal strategies based on the minimax technique) #dok3
Learning Targets
- I can identify the optimal pure strategies in a game with a saddle point. #dok2
- I can determine the value of a game using the minimax technique. #dok2
- I can apply the minimax technique to find optimal strategies in a matrix game. #dok2
- I can analyze a game matrix to decide whether a saddle point exists. #dok3
- I can justify why a strategy is optimal using mathematical reasoning. #dok3
Big Ideas
- Optimal strategies in competitive games are found by analyzing payoff matrices for saddle points.
- The minimax technique allows for the identification of optimal pure strategies and the value of a game with a saddle point.
Essential Questions
- What is a saddle point, and how do you find it in a game matrix?
- How does the minimax technique ensure an optimal strategy in a game?
- Why are pure strategies important when analyzing games with saddle points?
- How do you determine the value of a game, and why is it significant?
- In what real-world situations can the minimax technique be applied to make decisions?