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resented by real numbers. Denote their strategies as and .
Their payoff functions, and , are given by
(,) = -+ 4 +2 + 3 -
(,) = - + 2 + + -
a. What strategy maximizes that player's payoff given any possible strategy
chosen by the opponent?
(,) = - - + 4 + 3
(,) = - - - + 2 +
If = , then (,), (,) will maximizes.
b. Find Nash equilibrium and show it graphically.
If (,), (,) meet each other at some point,
there will be a Nash equilibrium.
then (,) = (,)
- - + 4 + 3 = - - - + 2 +
4 + 3 = - + 2 +
+3 + = 0
(+1)( +3) = 3
If we replace (+1) as X, and replace ( +3) as Y
Then the graph is XY = 3

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게임이론,   Game theory,   Game