7. _ (3%) Find out all the pure strategy Nash equilibrium of the game played by consumers.

IV. Consider a series of two-person two-commodity exchange economy. In each case, the two agents have the same endowments: each has one unit of good 1, and one unit of good 2. We normalize the price of good 2 to p2 = 1, and look for the competitive equilibrium, that is, both agents are price takers. Find out all, if any, of the equilibrium price of good 1, p1^+, according to the utility function specified in each case (where x_j^i denote Agent i's consumption of good j). 1. _ (4%) Agent H has a utility function u^H = min{x1^H, x2^H}; Agent I has a utility function u^I = min{x1^I, x2^I}.

7. _ (3%) Find out all the pure strategy Nash equilibrium of the game played by consumers.

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