How many nash equilibria does this game have

Assignment Help Game Theory

Reference no: EM131252197

Consider a game with n players. Simultaneously and independently, the players choose between X and Y. That is, the strategy space for each player i is Si = {X, Y}. The payoff of each player who selects X is 2m_x - m²x + 3, who selects Y is 4 - m_y , where my is the number of players who choose Y. Note that m_x + m_y = n.

(a) For the case of n = 2, represent this game in the normal form and find the pure-strategy Nash equilibria (if any).

(b) Suppose that n = 3. How many Nash equilibria does this game have?

(Note: you are looking for pure-strategy equilibria here.) If your answer is more than zero, describe a Nash equilibrium.

(c) Continue to assume that n = 3. Determine whether this game has a symmetric mixed-strategy Nash equilibrium in which each player selects X with probability p. If you can find such an equilibrium, what is p?

Reference no: EM131252197

Questions Cloud

Write a re-usable program to calculate various averages : Write a re-usable program to calculate various averages in your classes. It doesn't matter if you have 3 exams or 33 exams. The program should compute the computer the average as such.

Extra banana would increase utility : Inez reports that an extra banana would increase her utility by two units and an extra pear would increase her utility by two units and an extra pear would increase her utility by two units and an extra pear would increase her utility by six units..

How are hybrid composites classified : Do all properties of composites always improve over their individual constituents? Give examples.

Describe conditions that reduce aircraft utilization factors : What are the qualifications, certifications, and responsibilities of a commercial pilot? What are the qualifications, certifications, and responsibilities of an Airframe and Powerplant mechanic? What are the qualifications, certifications, and respon..

How many nash equilibria does this game have : Determine whether this game has a symmetric mixed-strategy Nash equilibrium in which each player selects X with probability p. If you can find such an equilibrium, what is p?

Learning resources and scientific information sources : Explain in four or more paragraghs three environmental challenges that you examined and summarize how each connects to your life. Provide ideas for solutions that adapted more widely.

Why is epoxy the most popular resin : Give the advantages and drawbacks of metal matrix composites over polymer matrix composites.

What was life like at the conclusion of the movement : Identify what movement preceded and followed your movement - What was life like at the time the movement began and Are there any specific people who staunchly and blatantly opposed the movement.

Organization production function : Developa 2-slide Microsoft® PowerPoint® presentation of the BOLD bullet to be presented to the CEO's executive committee that addresses how your chosen organization determines what quantity of labor to demand and what events could shift the demand..

User Account

All Pages