Question

1. A general has the two possible pure strategies, sending all of his troops by land or sending all of his troops by sea. An example of a mixed strategy is where he sends 1/4 of his troops by land and 3/4 of his troops by sea. True or False? Explain (Economics-Game Theory)

Answer #1

False, a mixed strategy equilibrium does not mean that he will send 1/4 of his troops by land and 3/4 by sea but it denotes the randomisation of the decision i.e. mixed strategy equilibrium represents the probability distribution of choosing one decision or the other to aboid being predictable. So, for the General, it means that given the strategybof the other player, choosing land aur sea with the probability of (1/4,3/4) such that his payoff remains the same.

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