Three-persons games with a cross-entropic criterion (Q2711369)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Three-persons games with a cross-entropic criterion |
scientific article |
Statements
14 May 2002
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infinite game
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best reply
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entropy formula
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0.9186316
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0.8490415
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Three-persons games with a cross-entropic criterion (English)
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Let \(G\) be a three-person variable-sum game. Each player has a countably infinite set of pure strategies. The paper characterizes the best reply of a single player, against fixed mixed strategies of the two opponents; and also gives a necessary and sufficient condition for the existence of a best reply. This characterization recall the entropy formula from thermodynamics.
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