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10 Nov 2019
Exercise 4. Let (N, v) be defined by N - 11,2,3,4) and v1,2)v(2,3])-v(13,4)(4)1, v(N)-2, and v(S) 0 otherwise. 1. Determine C(N,v) 2. Let a E R and let (N, u) be the game that may differ from (N, v) only inasmuch as y®(N)-a. Describe the set of all ? such that C(X,y®) 0. 3. Show that (N,v) is transitive, that is, for all i, j E N there exists a permutation ? of N with r(i)-1 and u(r(S))-U(S) for all S N.
Exercise 4. Let (N, v) be defined by N - 11,2,3,4) and v1,2)v(2,3])-v(13,4)(4)1, v(N)-2, and v(S) 0 otherwise. 1. Determine C(N,v) 2. Let a E R and let (N, u) be the game that may differ from (N, v) only inasmuch as y®(N)-a. Describe the set of all ? such that C(X,y®) 0. 3. Show that (N,v) is transitive, that is, for all i, j E N there exists a permutation ? of N with r(i)-1 and u(r(S))-U(S) for all S N.
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