A necessary and sufficient condition for the convexity in oligopoly games (Q1296504)
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scientific article; zbMATH DE number 1319700
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A necessary and sufficient condition for the convexity in oligopoly games |
scientific article; zbMATH DE number 1319700 |
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A necessary and sufficient condition for the convexity in oligopoly games (English)
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29 August 2001
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The author establishes a necessary and sufficient condition for convexity (or supermodularity) in oligopoly games, based on the primitive parameters in an oligopoly industry. The result also makes a small contribution to the question ``how to split joint profits among firms engaged in a merger''. If the oligopoly game is convex then the Shapley value and the nucleolus are both perfect answers as they are both in the core.
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convex games
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supermodularity
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oligopoly industry
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