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2. Three voters 1, 2, and 3 vote on three alternatives: a, b, and c. As a result of the vote, an alternative with a

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2. Three voters 1, 2, and 3 vote on three alternatives: a, b, and c. As a result of the vote, an alternative with a majority of the votes will be adopted. Where voter 1 is the Chairman and there is no majority as a result of the vote, the Chairman shall adopt the alternative vote. Each competitor has the following preferences: Competitor 1 has the most preference for alternative a followed by b and c. Competitors 2 are most likely to prefer alternative b, followed by a and Competitor 3 has the most preference for alternative c followed by b and a. Show this game as a strategic game and find the Nash equilibrium

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