Question

Which of the following statements is correct? (a) a dominant strategy equilibrium is always a Nash equilibrium, (b) a dominant strategy equilibrium can be a Nash equilibrium, (c) a Nash equilibrium is also a dominant strategy equilibrium, $(d)$ a Nash equilibrium cannot be a dominant strategy equilibrium.

Name: Problem 3, Chapter 12: Schaum's Outline of Microeconomics
Uploaded: 2022-02-24T23:22:25-08:00
Duration: 2 min 26 s
Channel: Deepanshu Kumar
Description: Which of the following statements is correct? (a) a dominant strategy equilibrium is always a Nash equilibrium, (b) a dominant strategy equilibrium can be a Nash equilibrium, (c) a Nash equilibrium is also a dominant strategy equilibrium, (d) a Nash equilibrium cannot be a dominant strategy equilibrium.

   Which of the following statements is correct? (a) a dominant strategy equilibrium is always a Nash equilibrium, (b) a dominant strategy equilibrium can be a Nash equilibrium, (c) a Nash equilibrium is also a dominant strategy equilibrium, $(d)$ a Nash equilibrium cannot be a dominant strategy equilibrium.

Schaum's Outline of Microeconomics

Dominick Salvatore 4th Edition

Chapter 12, Problem 3

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Solved by Expert Deepanshu Kumar

02/24/2022

Step 1

- A **dominant strategy** is a strategy that results in the highest payoff for a player, regardless of what the other players do. - A **dominant strategy equilibrium** occurs when each player in the game chooses their dominant strategy. - A **Nash Show more…

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Which of the following statements is correct? (a) a dominant strategy equilibrium is always a Nash equilibrium, (b) a dominant strategy equilibrium can be a Nash equilibrium, (c) a Nash equilibrium is also a dominant strategy equilibrium, $(d)$ a Nash equilibrium cannot be a dominant strategy equilibrium.

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Key Concepts

Dominant Strategy

A dominant strategy is one that yields a higher payoff than any other strategy available, regardless of what the opponents do. When a player has a dominant strategy, they will always choose this action because it maximizes their utility regardless of the actions of the other players.

Nash Equilibrium

A Nash equilibrium is a set of strategies in a game where no player can unilaterally improve their payoff by changing their strategy, given the strategies of the other players. It captures the concept of mutual best responses where each player's choice is optimal in light of the choices made by others.

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