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Consider the following claim: In a two-person game, where each player has at most three pure strategies, every strategy profile that survives the iterative elimination

Consider the following claim: "In a two-person game, where each player has at most three pure strategies, every strategy profile that survives the iterative elimination of strongly dominated actions is a pure strategy Nash equilibrium." If this claim is TRUE, then provide a proof. If it is FALSE, then prove your argument by providing an example. [Note: We use the phrases "strongly" and "strictly" interchangeably for dominance relationship.]

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