? E XERCISE 258.1 (Cores of q -rule games) a. Suppose that the set of policies is one-dimensional…

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?   EXERCISE 258.1 (Cores of q-rule games)

a.       Suppose that the set of policies is one-dimensional and that each player’s preferences are single-peaked. Find the core of the q-rule game for any value

of q with n/2 ≤ q ≤ n.

b.       Find the core of the q-rule game when q = 3 in the example in Figure 258.1 (with a two-dimensional policy space and three players).