Determine nash equilibria, Game Theory

Assignment Help:

Consider the electoral competition game presented in Lecture 6. In this game there are two candidates who simultaneously choose policies from the real line. There is a distribution of voters with median m and the candidate whose policy is closest to the median wins the election and the winning candidate's policy is implemented. If the two candidates are an equal distance from the median, then the average of the two policies is implemented. For this problem we suppose that both candidates care about both the implemented policy and winning the election. That is, the payo to each candidate has two parts. The first part is the utility from the implemented policy a*. That is, each candidate has utility u(a* ; xi), where xi is the ideal policy of candidate i and utility decreases to the left and right of xi. We suppose that xi < m < xj . The second part is the value of winning office, which we denote wi > 0 for candidate i. Putting these two parts together, we de ne the payoff to candidate i by

1068_Find all Nash equilibria.png

Find all Nash equilibria to this game.


Related Discussions:- Determine nash equilibria

Reserve worth , A reserve worth is that the minimum acceptable bid in an au...

A reserve worth is that the minimum acceptable bid in an auction. If no bidder submits a bid higher than the reserve worth, the auctioneer keeps the item offered for sale. Alternat

Game playing in class:adding numbers—win at 100, GAME PLAYING IN CLASS GAME...

GAME PLAYING IN CLASS GAME 1 Adding Numbers—Win at 100 This game is described in Exercise 3.7a. In this version, two players take turns choosing a number between 1 and 10 (inclus

Multiple nash equilibria, The following is a payoff matrix for a non-cooper...

The following is a payoff matrix for a non-cooperative simultaneous move game between 2 players. The payoffs are in the order (Player 1; Player 2): What is/are the Nash Equil

equilibrium refinement, An equilibrium refinement provides how of choosing...

An equilibrium refinement provides how of choosing one or many equilibria from among several in a very game. several games might contain many Nash equilibria, and therefore supply

Game playing in class-2 players take turns choosing a number, Problem:-Two ...

Problem:-Two players take turns choosing a number between 1 and 10 (inclusive), and a cumulative total of their choices is kept. The player to take the total exactly to 100 is the

Japanese auction, A type of sequential second worth auction, just like an E...

A type of sequential second worth auction, just like an English auction during which an auctioneer frequently raises the present worth. Participants should signal at each worth lev

Temporary game theory history , The ideas underlying game theory have appea...

The ideas underlying game theory have appeared throughout history, apparent within the bible, the Talmud, the works of Descartes and Sun Tzu, and also the writings of Chales Darwin

Nash equilibrium, Consider a game in which player 1 chooses rows, player 2 ...

Consider a game in which player 1 chooses rows, player 2 chooses columns and player 3 chooses matrices. Only Player 3''s payoffs are given below. Show that D is not a best response

Draw a table representing the prisoner.s dilemma game, 1. (a) True or False...

1. (a) True or False: If a 2x2 game has a unique pure strategy Nash Equilibrium, then both players always have dominant strategies. (b) Draw a table representing the Prisoner.s Dil

Bayes rule, Treating probability as a logic, Thomas Bayes defined the follo...

Treating probability as a logic, Thomas Bayes defined the following: Pr(X|Y)=Pr(Y|X)Pr(X)/Pr(Y) For example, probability that the weather was bad given that our friends playe

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd