g The relationship between a pure-strategy Nash equilibrium and a dominant-strategy equilibriumis that:5) A) a dominant-strategy equilibrium is a special case of a pure-strategy Nash equilibrium. B) a pure-strategy Nash equilibrium is a special case of a dominant-strategy equilibrium. C) they are mutually exclusive and exhaustive, in that a dominant-strategy equilibrium is thesame thing as a mixed-strategy Nash equilibrium. D) they are the same. E) there may not be a dominant-strategy equilibrium, but there always is a pure-strategy Nashequilibrium.

Question

Lacey Bauer

Social Studies

1 October, 14:27

g The relationship between a pure-strategy Nash equilibrium and a dominant-strategy equilibriumis that:5) A) a dominant-strategy equilibrium is a special case of a pure-strategy Nash equilibrium. B) a pure-strategy Nash equilibrium is a special case of a dominant-strategy equilibrium. C) they are mutually exclusive and exhaustive, in that a dominant-strategy equilibrium is thesame thing as a mixed-strategy Nash equilibrium. D) they are the same. E) there may not be a dominant-strategy equilibrium, but there always is a pure-strategy Nashequilibrium.

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Answers (1)

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Aarav Stanton · Answer 1

The answer is A) Dominant-strategy equilibrium is special case of pure-strategy Nash equilibrium.

Explanation:

The relationship between a pure-strategy Nash equilibrium and a dominant-strategy equilibrium is that dominant-strategy equilibrium is special case of pure-strategy Nash equilibrium because each type of game has a Nash equilibrium with a mixture of strategies, of which dominant-strategy could either be inclusive, or not inclusive.