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Mathematical Models of Political Behavior

Description: Mathematical Models of Political Behavior Quiz
Number of Questions: 14
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Tags: political science mathematical psychology game theory
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Which of the following is a common assumption in mathematical models of political behavior?

  1. Voters are rational actors.

  2. Political parties are always ideologically opposed.

  3. Elections are always fair and democratic.

  4. The media has no influence on political outcomes.


Correct Option: A
Explanation:

One of the key assumptions in mathematical models of political behavior is that voters are rational actors who make decisions based on their own self-interest.

Which of the following is a type of mathematical model used to study political behavior?

  1. Game theory

  2. Social choice theory

  3. Bayesian statistics

  4. Econometrics


Correct Option: A
Explanation:

Game theory is a branch of mathematics that studies strategic decision-making in situations where multiple players interact with each other.

What is the Nash equilibrium in a game theory model of political behavior?

  1. The set of strategies that maximizes the payoff for each player.

  2. The set of strategies that minimizes the payoff for each player.

  3. The set of strategies that results in a tie.

  4. The set of strategies that is most likely to occur.


Correct Option: A
Explanation:

The Nash equilibrium is a set of strategies in a game theory model where no player can improve their payoff by unilaterally changing their strategy.

What is the Condorcet paradox?

  1. A paradox that arises when a majority of voters prefer one candidate over another, but the other candidate wins the election.

  2. A paradox that arises when a majority of voters prefer one policy over another, but the other policy is enacted.

  3. A paradox that arises when a majority of voters prefer one party over another, but the other party wins the election.

  4. A paradox that arises when a majority of voters prefer one candidate over another, but the other candidate wins the popular vote.


Correct Option: A
Explanation:

The Condorcet paradox is a paradox that arises when a majority of voters prefer one candidate over another, but the other candidate wins the election because of the way the votes are counted.

What is the Arrow's impossibility theorem?

  1. A theorem that states that it is impossible to design a voting system that is fair, democratic, and efficient.

  2. A theorem that states that it is impossible to design a voting system that is fair, democratic, and representative.

  3. A theorem that states that it is impossible to design a voting system that is fair, democratic, and accountable.

  4. A theorem that states that it is impossible to design a voting system that is fair, democratic, and transparent.


Correct Option: A
Explanation:

Arrow's impossibility theorem is a theorem that states that it is impossible to design a voting system that is fair, democratic, and efficient.

What is the median voter theorem?

  1. A theorem that states that the outcome of an election will be the policy that is preferred by the median voter.

  2. A theorem that states that the outcome of an election will be the policy that is preferred by the majority of voters.

  3. A theorem that states that the outcome of an election will be the policy that is preferred by the plurality of voters.

  4. A theorem that states that the outcome of an election will be the policy that is preferred by the most extreme voters.


Correct Option: A
Explanation:

The median voter theorem is a theorem that states that the outcome of an election will be the policy that is preferred by the median voter.

What is the Downs model of electoral competition?

  1. A model that predicts that candidates will converge on the median voter's position in order to win elections.

  2. A model that predicts that candidates will diverge from the median voter's position in order to win elections.

  3. A model that predicts that candidates will ignore the median voter's position and focus on their own policy preferences.

  4. A model that predicts that candidates will adopt extreme positions in order to win elections.


Correct Option: A
Explanation:

The Downs model of electoral competition is a model that predicts that candidates will converge on the median voter's position in order to win elections.

What is the Hotelling model of spatial competition?

  1. A model that predicts that firms will locate themselves at the median consumer's location in order to maximize profits.

  2. A model that predicts that firms will locate themselves at the most extreme locations in order to maximize profits.

  3. A model that predicts that firms will locate themselves at random locations in order to maximize profits.

  4. A model that predicts that firms will locate themselves at the locations that are most convenient for their employees.


Correct Option: A
Explanation:

The Hotelling model of spatial competition is a model that predicts that firms will locate themselves at the median consumer's location in order to maximize profits.

What is the Black-Scholes model of option pricing?

  1. A model that predicts the price of an option based on the price of the underlying asset, the strike price, the time to expiration, and the volatility of the underlying asset.

  2. A model that predicts the price of an option based on the price of the underlying asset, the strike price, and the time to expiration.

  3. A model that predicts the price of an option based on the price of the underlying asset and the strike price.

  4. A model that predicts the price of an option based on the price of the underlying asset.


Correct Option: A
Explanation:

The Black-Scholes model of option pricing is a model that predicts the price of an option based on the price of the underlying asset, the strike price, the time to expiration, and the volatility of the underlying asset.

What is the Prisoner's Dilemma?

  1. A game theory model in which two players are better off cooperating with each other, but each player has an incentive to defect.

  2. A game theory model in which two players are better off defecting from each other, but each player has an incentive to cooperate.

  3. A game theory model in which two players are indifferent between cooperating and defecting.

  4. A game theory model in which two players are always better off cooperating with each other.


Correct Option: A
Explanation:

The Prisoner's Dilemma is a game theory model in which two players are better off cooperating with each other, but each player has an incentive to defect.

What is the Tragedy of the Commons?

  1. A situation in which individuals acting in their own self-interest deplete a shared resource.

  2. A situation in which individuals acting in their own self-interest create a public good.

  3. A situation in which individuals acting in their own self-interest create a negative externality.

  4. A situation in which individuals acting in their own self-interest create a positive externality.


Correct Option: A
Explanation:

The Tragedy of the Commons is a situation in which individuals acting in their own self-interest deplete a shared resource.

What is the Public Choice Theory?

  1. A theory that applies economic principles to the study of political behavior.

  2. A theory that applies political principles to the study of economic behavior.

  3. A theory that applies psychological principles to the study of political behavior.

  4. A theory that applies sociological principles to the study of political behavior.


Correct Option: A
Explanation:

Public Choice Theory is a theory that applies economic principles to the study of political behavior.

What is the Rational Choice Theory?

  1. A theory that assumes that individuals make decisions based on a rational calculation of costs and benefits.

  2. A theory that assumes that individuals make decisions based on their emotions.

  3. A theory that assumes that individuals make decisions based on their social norms.

  4. A theory that assumes that individuals make decisions based on their cultural values.


Correct Option: A
Explanation:

Rational Choice Theory is a theory that assumes that individuals make decisions based on a rational calculation of costs and benefits.

What is the Prospect Theory?

  1. A theory that describes how individuals make decisions under uncertainty.

  2. A theory that describes how individuals make decisions under certainty.

  3. A theory that describes how individuals make decisions based on their emotions.

  4. A theory that describes how individuals make decisions based on their social norms.


Correct Option: A
Explanation:

Prospect Theory is a theory that describes how individuals make decisions under uncertainty.

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