Assume two countries, A and B, are considering going to war with each other. Each has initial

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Assume two countries, A and B, are considering going to war with each other. Each has initial resources of 100. In case of war, the winner gets the resources of the losing country, but pays a cost of war cA or cB. Call p the probability that country A wins (the probability that B wins is thus 1 - PA). Assume that there is full information available and both parties can commit to an agreement. Also assume that country A has all the bargaining power and can impose an agreement, making country B indifferent between going to war or not. How large is the payment country A imposes on country B in such an agreement? What is the gain of country A in such an agreement over its expected payoff in a war?

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