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Convexity of production, common pool and oligopoly games: a survey

Theo S. H. Driessen, Holger Meinhardt (2006)

Banach Center Publications

The paper surveys a uniform proof technique of the convexity property for three different cooperative TU games arising from three different economical settings. The production economy, common pool situation and oligopoly framework involve a cost function, but different production functions. Each of the three corresponding game theoretic models refers to some maximization problem described by optimizing a certain net profit function over all feasible production levels. The current mathematical proof...

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