Introduction to Game Theory Concepts
This quiz covers fundamental concepts in Game Theory, including strategies, equilibrium, information structures, and key theorems used in strategic decision-making.
Questions
In a two-player zero-sum game, the payoff to one player is:
- Always positive
- Always negative
- Always zero
- Equal to the payoff of the other player
The Nash Equilibrium in a game is:
- A set of strategies where no player can improve their outcome by changing their strategy unilaterally
- A set of strategies where all players have the same payoff
- A set of strategies where the total payoff is maximized
- A set of strategies where the total payoff is minimized
The Prisoner's Dilemma is an example of a:
- Zero-sum game
- Non-zero-sum game
- Cooperative game
- Non-cooperative game
In a cooperative game, the players:
- Can communicate and make binding agreements
- Cannot communicate or make binding agreements
- Can communicate but cannot make binding agreements
- Cannot communicate but can make binding agreements
Game Theory is used in a variety of fields, including:
- Economics
- Political Science
- Biology
- All of the above
In a game with complete information, the players:
- Know all the payoffs and strategies of the other players
- Know only their own payoffs and strategies
- Know only the payoffs of the other players
- Know only the strategies of the other players
In a game with incomplete information, the players:
- Do not know all the payoffs and strategies of the other players
- Know only their own payoffs and strategies
- Know only the payoffs of the other players
- Know only the strategies of the other players
A mixed strategy in a game is:
- A strategy where the player chooses a single action with probability 1
- A strategy where the player chooses a single action with probability less than 1
- A strategy where the player chooses multiple actions with probability 1
- A strategy where the player chooses multiple actions with probability less than 1
The minimax theorem states that:
- In a two-player zero-sum game, each player has a strategy that guarantees them a certain minimum payoff, regardless of the strategy of the other player
- In a two-player zero-sum game, each player has a strategy that guarantees them a certain maximum payoff, regardless of the strategy of the other player
- In a two-player non-zero-sum game, each player has a strategy that guarantees them a certain minimum payoff, regardless of the strategy of the other player
- In a two-player non-zero-sum game, each player has a strategy that guarantees them a certain maximum payoff, regardless of the strategy of the other player
The Nash Bargaining Solution is a method for:
- Finding a fair allocation of payoffs in a cooperative game
- Finding a fair allocation of payoffs in a non-cooperative game
- Finding a Nash Equilibrium in a cooperative game
- Finding a Nash Equilibrium in a non-cooperative game
The Shapley Value is a method for:
- Measuring the power of a player in a cooperative game
- Measuring the power of a player in a non-cooperative game
- Finding a Nash Equilibrium in a cooperative game
- Finding a Nash Equilibrium in a non-cooperative game
Game Theory has been used to study a wide range of real-world problems, including:
- Auctions
- Bargaining
- Pricing
- All of the above
Game Theory is a relatively new field of study, with most of the major developments occurring in the:
- 19th century
- 20th century
- 21st century
- None of the above
Some of the most famous game theorists include:
- John von Neumann
- Oskar Morgenstern
- John Nash
- All of the above