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3. Define a strategy s; ES; as weakly dominant for player i in game IN = [I, {S;), {uil.)}] if for all s;'ES:, we have

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3. Define a strategy s; ES; as weakly dominant for player i in game IN = [I, {S;), {uil.)}] if for all s;'ES:, we have li(Si, S-;) zui(Si , S-i) for all s.; ES.i. Under the previous definition, if a player has two weakly dominant strategies, then for every strategy choice by his opponents, the two strategies yield him equal payoffs. Provide an example of a two-player game in which a player has two weakly dominant strategies but his opponent prefers that he plays one of them rather than the other. Explain

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