| 1. | This allows for a player to randomly select a pure strategy.
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| 2. | They thus have an infinite number of available pure strategies, indeed a continuum.
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| 3. | A "'mixed strategy "'is an assignment of a probability to each pure strategy.
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| 4. | However, all the pure strategies in this game are rationalizable.
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| 5. | The mixed strategy hence represents the distribution of pure strategies chosen by each population.
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| 6. | Player Y plays the pure strategy of 1 / 2.
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| 7. | Note that one player ( WLOG X ) is forbidden from using a pure strategy.
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| 8. | With capacity constraints, there may not exist any pure strategy Nash equilibrium, the so-called Edgeworth paradox.
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| 9. | The two pure strategy Nash equilibria are unfair; one player consistently does better than the other.
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| 10. | This game has no pure strategy Nash equilibrium.
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