1. Prove Proposition 4.1: If the game has a strictly dominant strategy equilibrium s D , then s D…

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1. Prove Proposition 4.1: If the gamehas a strictly dominant strategy equilibrium sD, then sD is the unique dominant strategy equilibrium.

2. Weak Dominance: We call the strategy profile sW ∈ S a weakly dominant

a. Provide an example of a game in which there is no weakly dominant strategy equilibrium.

b. Provide an example of a game in which there is more than one weakly dominant strategy equilibrium.