Mathematically prove that any two pure-strategy nash


Give some examples of games people play for entertainment that are strictly competitive ?

For a two-player game, two pure-strategy Nash equilibria (s1 , s2) and (t1 , t2) are called equivalent if ui(s) = ui(t) for i = 1, 2; they are called interchangeable if (s1 , t2) and (t1 , s2) also are Nash equilibria.

Mathematically prove that any two pure-strategy Nash equilibria of a two-player, strictly competitive game are both equivalent and interchangeable.

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Game Theory: Mathematically prove that any two pure-strategy nash
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