[請益] nash equilibrium
我可以請教一下下面這個問題嗎 謝謝
Questions 1 through 4 concern the game matrix given below. Each player has four strategies,
labeled A, B, C, D for Row and W, X, Y, Z for Column. Row’s payoff is in the upper left hand corner
of each square. Column’s payoff is in the lower right hand corner.
Game Matrix for Questions 1 through
Column
Strategy W X Y Z
A 4 4 5 7 8 2 3 9
Row B 6 1 8 3 9 6 4 1
C 7 3 4 4 12 1 8 6
D 3 4 10 5 8 4 6 4
1. Which, if any, are the dominated strategies?
我是覺得這裡並沒有dominated strategy，請問我有誤解嗎
2. What are the Nash equilibria of this game?
我找到的是 (10,5) 及 (8,6)?
3. Which Nash equilibrium is socially preferable?
(10,5)?
4. Which Nash equilibrium will Row and Column play?
這我不知道要怎麼回答，我以為R或C都會play dominant strategy。可是我並不知道
是哪個，可以請問一下這個要怎麼判斷嗎？
謝謝!!
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