1. Two countries in the economy. Each of two countries must simultaneously decide on a courseof action. Country 1 must decide whether to keep its weapons or to destroy them. Country 2must decide whether to spy on country 1 or not. It would be an international scandal for country1 if country 2 could prove that country 1 was keeping its weapons. The payoff matrix is asfollows.Spy Do not SpyKeep -1,1 1,-1Destroy 0,2 0,2
(a) Does either player have a strictly dominant strategy?
(b) Does either player have a weakly dominant strategy?
(c) Find a Nash equilibrium in which neither player employs a weakly dominant strategy.