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Conversely, what if I played B? What's the expected payoff for the row player of playing B against Q, where Q is 1/2, 1/2?
So first of all let me just explain what the strategies are, so I'm assuming the row player is Venus and the column player is Serena.
The first number in each entry is the payoff to the row player (player A), and the second number is the payoff to the column player (player B).
(Because the combined wealth of the players is not constant, it is impossible to deduce one player's payoff from the payoff of the other; consequently, both players' payoffs must be given.) The first number in each entry is the payoff to the row player (player A), and the second number is the payoff to the column player (player B).
We didn't change the row player's payoffs, so we're not going to change the equilibrium mix for the column player.
Say again, we changed one of the payoffs for the column player but the column player's equilibrium mix depends on the row player's payoffs and we haven't changed the row player's payoffs, so we won't change the equilibrium compliance rate, the equilibrium mix by the column player.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com