On the existence of stable states in game problems (Q1082276)
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scientific article; zbMATH DE number 3972677
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the existence of stable states in game problems |
scientific article; zbMATH DE number 3972677 |
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On the existence of stable states in game problems (English)
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1986
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In an \(n\)-person game in normal form, a strategy \(n\)-tuple \(x\) is called weakly extreme for player \(i\) if for any other strategy \(x_ i\) there is a response \(x^ i\) of the other players such that the outcome for \(i\), \(f_ i(x_ i,x^ i)\) is not greater than \(f_ i(x)\). If \(x\) is weakly extreme for each \(i\), it is a weak-active equilibrium. Conditions for the existence are investigated, and it is shown that in certain cases equilibria may result in Pareto optimal outcomes.
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weakly extreme strategies
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weak-active equilibrium
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Pareto optimal outcomes
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0.8104878664016724
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0.7926070690155029
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0.7912739515304565
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