Given a fixed set of players N, each coalition T N determines a unanimity game uT (example
Question:
1. For each coalition S c N, recursively define the marginal value of a coalition by
(Recall that T S means that T is a proper subset of S, i.e., T S but T S.) Show that
(Recall that T S means that T is a proper subset of S, i.e., T S but T S.) Show that
2. Show that
for every coalition SJN.
A subset S of a linear space X is a subspace of X if for every x and y in S, the combination ax + βy belongs to S, that is,
ax + βy S for every x; y S and a, b R
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