How to check if mixed strategy leads to Nash equilibirum?
$begingroup$
I have a simple payoff matrix defined here:
matrix
My question is: If both players play all 4 strategies with 1/4 probability, does that lead to Nash equilibrium?
I can't quite figure this out. I know how to check if pure strategies lead to nash equilibrium. You assume the row/columns player sticks to a strategy and check if the other player is incentivized to play differently.
I'd love a pointer or two in the right direction.
game-theory nash-equilibrium
edited Jan 14 at 0:46
Bernard
123k741117
asked Jan 14 at 0:39
NZ_21NZ_21
12
$endgroup$
add a comment |
$begingroup$
I have a simple payoff matrix defined here:
matrix
My question is: If both players play all 4 strategies with 1/4 probability, does that lead to Nash equilibrium?
I can't quite figure this out. I know how to check if pure strategies lead to nash equilibrium. You assume the row/columns player sticks to a strategy and check if the other player is incentivized to play differently.
I'd love a pointer or two in the right direction.
game-theory nash-equilibrium
edited Jan 14 at 0:46
Bernard
123k741117
asked Jan 14 at 0:39
NZ_21NZ_21
12
$endgroup$
add a comment |
$begingroup$
I have a simple payoff matrix defined here:
matrix
My question is: If both players play all 4 strategies with 1/4 probability, does that lead to Nash equilibrium?
I can't quite figure this out. I know how to check if pure strategies lead to nash equilibrium. You assume the row/columns player sticks to a strategy and check if the other player is incentivized to play differently.
I'd love a pointer or two in the right direction.
game-theory nash-equilibrium
edited Jan 14 at 0:46
Bernard
123k741117
asked Jan 14 at 0:39
NZ_21NZ_21
12
$endgroup$
I have a simple payoff matrix defined here:
matrix
My question is: If both players play all 4 strategies with 1/4 probability, does that lead to Nash equilibrium?
I can't quite figure this out. I know how to check if pure strategies lead to nash equilibrium. You assume the row/columns player sticks to a strategy and check if the other player is incentivized to play differently.
I'd love a pointer or two in the right direction.
game-theory nash-equilibrium
game-theory nash-equilibrium
edited Jan 14 at 0:46
Bernard
123k741117
asked Jan 14 at 0:39
NZ_21NZ_21
12
edited Jan 14 at 0:46
Bernard
123k741117
asked Jan 14 at 0:39
NZ_21NZ_21
12
edited Jan 14 at 0:46
Bernard
123k741117
edited Jan 14 at 0:46
Bernard
123k741117
edited Jan 14 at 0:46
Bernard
123k741117
123k741117
asked Jan 14 at 0:39
NZ_21NZ_21
12
asked Jan 14 at 0:39
NZ_21NZ_21
12
asked Jan 14 at 0:39
NZ_21NZ_21
12
12
add a comment |
add a comment |
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