The solution concept of Nash for n-person cooperative games

Abstract

Let $\Gamma = \left\{ {{\Sigma _1},...,{\Sigma _n},{K_1},...,{K_n}} \right\}$ be an n-person game given in normal form. Let $\sum = {{\sum }_{1}} \times \ldots \times {{\sum }_{n}}$ and

$$\Phi = \left\{ {{\bf{f}}\left| {{\bf{f}} = ({K_1}({\bf{x}}),...,{K_n}({\bf{x}})),{\bf{x}} \in \Sigma } \right.} \right\}$$

((1))

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