Question: (a) Consider a game with two players. Player 1 has six strategies A, B, C, D, E and F. Player 2 has four strategies I,

(a) Consider a game with two players. Player 1 has six strategies A, B, C, D, E and F. Player 2 has four strategies I, II, III and IV. Construct a situation in which both Player 1 and Player 2 have a dominant strategy by completing the payoff matrix below, and briefly explain your answer. [10 marks]

(a) Consider a game with two players. Player 1 has six strategies (b) Consider two travel agencies. Agency A has 5 strategies and Agency B has 4 strategies. The profits (in million dollars) of these two companies under different strategic situations are given in the payoff matrix follows:

A, B, C, D, E and F. Player 2 has four strategies (i) Identify the Nash equilibrium/equilibria in pure strategy, if any, and briefly explain. [5 marks] (ii) Are there any dominant or dominated strategies, strictly or weakly? Briefly explain. [10 marks]

Plaver? Agency B

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