What are Nash equilibria in the context of a two-player game where players can choose integers between 1 and 3?
Understand the Problem
The question is discussing the concept of Nash equilibria in game theory, specifically in a two-player game where players choose numbers and receive points based on their choices. It explains the conditions for finding Nash equilibria based on the players' strategies and payoffs.
Answer
(1,1), (2,2), (3,3)
The Nash equilibria are the pairs (1,1), (2,2), and (3,3).
Answer for screen readers
The Nash equilibria are the pairs (1,1), (2,2), and (3,3).
More Information
In this game, both players choosing the same number form a Nash equilibrium because deviating unilaterally leads to a lower payoff.
Tips
A common mistake is assuming all outcomes with a non-zero payoff are equilibria, but only those where no one benefits from deviating are valid.
AI-generated content may contain errors. Please verify critical information
