Three retail chains are each deciding whether to locate a store in town A or town B. The profit or payoff that a chain receives depends on the town selected and the number of other chains that put stores in that town; see accompanying table. (given) a. Find a symmetric mixed-strategy Nash equilibrium in which chains randomize. b. Find all mixed-strategy Nash equilibria in which one of the chains puts a store in town A for sure. C. Find all mixed-strategy Nash equilibria in which one of the chains puts a store in town B for sure. Chain's Profit Number of Other Chains with Stores in That Town O 1 2 Chain's Own Location A A A 10 3 1 00 o 8 1 4 0000 2 2