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

Auctions, what will be the best strategy for a bidder in an auction compris...

what will be the best strategy for a bidder in an auction comprised of four bidders?

Games with strategic moves, Games with Strat e gic M ov es   ...

Games with Strat e gic M ov es   The ideas in this chapters can be brought to life and the students can better appreciate the subtleties of various strategic moves an

Payoffs, mixed strategy game with ordinal and cardinal payoffs example plea...

mixed strategy game with ordinal and cardinal payoffs example please

Game :the tire story, GAME 2 The Tire Story Another game that we have ...

GAME 2 The Tire Story Another game that we have successfully played in the first lecture is based on the “We can’t take the exam; we had a flat tire”. Even if the students hav

Incentive, A payoff offerd as a bequest for someone partaking in some activ...

A payoff offerd as a bequest for someone partaking in some activity that doesn't directly provide her with profit. Often, such incentives are given to beat the ethical hazard drawb

Prisoners'' dilemma scenario, Scenario Two conspirators are arrested an...

Scenario Two conspirators are arrested and interrogated separately. If one implicates the opposite, he might go free whereas the opposite receives a life sentence. Yet, if each

Rationality , One of the foremost common assumptions created in game theory...

One of the foremost common assumptions created in game theory (along with common information of rationality). In its mildest kind, rationality implies that each player is motivated

Animal puzzle, a) This you just have to list all the attributes for the pro...

a) This you just have to list all the attributes for the program. i.e. unique id's for puzzle pieces, attributes for the puzzle like a data field for the number of edges, methods t

Fictitious play , A method by that players assume that the methods of their...

A method by that players assume that the methods of their opponents are randomly chosen from some unknown stationary distribution. In every amount, a player selects her best respon

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