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Assume a battle of the sexes: a husband, (A), and wife, (B) are planning a vacation. A prefers mountain locations; B prefers the seaside. Both
Assume a battle of the sexes: a husband, (A), and wife, (B) are planning a vacation. A prefers mountain locations; B prefers the seaside. Both players prefer a vacation spent together to one spent apart. The payoffs are as follows: B's Strategies Mountain Seaside A's strategies: Mountain Seaside 2,1 0,0 0,0 1,2 Are there any Nash equilibria? If so, what are they? If so, are any dominant? Points: 4 Yes, 1 Nash equilibrium: (Mountain, Mountain). No dominant strategy. Yes, 1 Nash equilibrium: (Mountain, Mountain). 1 dominant strategy. Yes, 2 Nash equilibria: (Mountain, Mountain) and (Seaside, Seaside). 2 dominant strategies. Yes, 2 Nash equilibria: (Mountain, Seaside) and (Seaside, Mountain). 2 dominant strategies. Yes, 2 Nash equilibria: (Mountain, Seaside) and (Seaside, Mountain). No dominant strategy. Yes, 1 Nash equilibrium: (Seaside, Seaside). No dominant strategy. Yes, 2 Nash equilibria: (Mountain, Mountain) and (Seaside, Seaside). No dominant strategy. Yes, 1 Nash equilibrium: (Seaside, Seaside). 1 dominant strategy. No Nash equilibrium. No dominant strategies
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