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

Three words, if the first three words are "the boy''s down" what are the la...

if the first three words are "the boy''s down" what are the last three words?

Design mousetrap game board, Three flowcharts and the game board for your m...

Three flowcharts and the game board for your mousetrap game should be submitted. You can use board_design.pdf to help you lay out your board. Basically, you can use any shapes you

Combining simultaneous and sequential moves, Combining Simultaneous and...

Combining Simultaneous and  Sequential Moves The material in this chapter covers a variety of issues that require some knowledge of the analysis of both sequential- move

Prisoners’ dilemma game, The Prisoners’ Dilemma Game The idea th...

The Prisoners’ Dilemma Game The idea that tacit cooperation can be sustained in an ongoing relationship is very simple and students easily accept it. The formal analysis

Grim trigger strategy, A trigger strategy sometimes applied to repeated pri...

A trigger strategy sometimes applied to repeated prisoner's dilemmas during which a player begins by cooperating within the initial amount, and continues to cooperate till one defe

All-pay auction, A type of auction in which the highest bidder is rewarded ...

A type of auction in which the highest bidder is rewarded the object, but all bidders pay the auctioneer their bids. This differs from traditional first price auctions in which onl

Finding Equilibrium in Game Theory, This is Case of Competitive Games. ...

This is Case of Competitive Games. Player 2 L R Player 1 L (60,40) (70,30) R (65,35) (60,40) Are either have dominant st

Payoff, In any game, payoffs are numbers that represent the motivations of ...

In any game, payoffs are numbers that represent the motivations of players. Payoffs might represent profit, quantity, "utility," or different continuous measures (cardinal payoffs)

Tic tac toe, i have to make a tic tac toe game in matlab i dun have any ide...

i have to make a tic tac toe game in matlab i dun have any idea what to do?

Cournot and Stackelberg., Consider two identical firms, for each firm, the ...

Consider two identical firms, for each firm, the total cost of producing q units of output is C(q)=0.5q^2. The price is determined as P(q1,q2)- a-q1-q2. Estimate Cournots outcome;

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