## Extreme games and their solutions |

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according affine set functions assume bonds canonical representation classes coalition forming process conditions of Theorem consider core define Economics equations extreme games extreme in $1 extreme point extreme superadditive f G E0 f is extreme follows G Q1 game theory given Hence holds true homl homogeneous implies inequalities Lemma Let v G linear m(AK main simple solution marginal measure max max max v(R maximal minimal representation Moreover mS(S natural numbers nondegeneracy Obviously problem production function production game production process Proof properties representation theory represented rescaling S G Q S+i+j satisfied Seiten sequence Shapley value skillful players solution concept stable set Step superadditive games superadditive point functions Suppose symmetric game Theorem 2.3 trivial uniform distribution unique units of money utility v(Si vector weighted majority xU’V doms zero sum