Direct method comparing efficient and nonefficient payoffs in differential games (Q597182)
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scientific article; zbMATH DE number 2082540
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Direct method comparing efficient and nonefficient payoffs in differential games |
scientific article; zbMATH DE number 2082540 |
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Direct method comparing efficient and nonefficient payoffs in differential games (English)
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6 August 2004
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A method is proposed for determining whether a Markov-perfect Nash equilibrium of a differential game is Pareto efficient, without knowledge of the explicit solutions to the Hamilton-Jacobi-Bellman equations. A sufficient condition is provided in terms of an algebraic inequality where the gradient of the value functions of the cooperative and non-cooperative games as well as the state and control variables are involved.
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differential games
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Markov-perfect Nash equilibrium
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Pareto optimum
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Hamilton-Jacobi-Bellman equations
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