Office Hours: Game Theory

What is the primary focus of Game Theory?

• A) The study of how individuals make decisions in isolation.

• B) The analysis of strategic interactions between rational decision-makers.

• C) The historical development of board games.

• D) The psychological factors influencing individual choices.

Which statement accurately defines a Nash Equilibrium?

• A) A state where all participants achieve their highest possible payoff.

• B) A situation where no player can improve their outcome by changing their strategy, assuming other players' strategies remain unchanged.

• C) An agreement between players that guarantees equal payoffs for everyone.

• D) The point at which all players decide to cooperate for mutual benefit.

If Al decides to keep her promise and perform only one show per week, what is Bob's best strategy to maximize his earnings?

• A) Keep his promise and perform one show, earning $10,000.

• B) Break his promise and perform five shows, earning $15,000.

• C) Break his promise and perform five shows, earning $6,000.

• D) Keep his promise and perform one show, earning $1,000.

In the scenario of the two rival magicians, what is the Nash Equilibrium regarding their performance strategy?

• A) Both magicians perform one show per week, each earning $10,000.

• B) One magician performs five shows and earns $15,000, while the other performs one show and earns $1,000.

• C) Both magicians perform five shows per week, each earning $6,000.

• D) The magicians alternate between performing one show and five shows each week.