This note discusses the classifications of general symmetric and anti-diagonally symmetric 2×2 games, illustrated with business-related examples. It also shows how 2×2 games can be used to explain and interpret business strategies such as “top dog,” “puppy dog,” “fat cat” and “lean-and-hungry look” (Fudenberg and Tirole, 1984). A strategic move basically changes a prisoner's dilemma game, coordination game or chicken game into one with a unique Nash equilibrium that favors the strategic player.
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