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This is very unintuitive to me. Most games have some sort of asymmetry built in. For example one player usually goes first. In the game of nim, a clever player
by OtterCoder 10y ago
This is very unintuitive to me. Most games have some sort of asymmetry built in. For example one player usually goes first. In the game of nim, a clever player can provably always dominate against any strategy if they move first. That doesn't sound like an equilibrium to me...
- oli5679 10y agoYour problem may be that the definition of Nash Equilibrium might not overlap with your intuition of what 'equilibrium' should be. A NE is just a strategy profile for every player of the game such that no player would want to change her strategy profile if she knew the strategy profile of all other players. If the second player loses to the first player's strategy profile whatever she does, that is still an equilibrium because she wouldn't gain from changing her action to something else that also guarantees loss.