What is the set of nash equilibria for k m

Assignment Help Game Theory
Reference no: EM13906880

(Voter participation) Two candidates, A and B, compete in an elec- tion. Of the n citizens, k support candidate A and m (= n - k) support candidate B.

Each citizen decides whether to vote, at a cost, for the candidate she supports, or to abstain. A citizen who abstains receives the payoff of 2 if the candidate she supports wins, 1 if this candidate ties for first place, and 0 if this candidate loses.

A citizen who votes receives the payoffs 2 - c, 1 - c, and -c in these three cases, where 0 c 1.

a. For k = m = 1, is the game the same (except for the names of the actions) as any considered so far in this chapter?

b. For k = m, find the set of Nash equilibria. (Is the action profile in which everyone votes a Nash equilibrium? Is there any Nash equilibrium in which the candidates tie and not everyone votes? Is there any Nash equilibrium in which one of the candidates wins by one vote? Is there any Nash equilibrium in which one of the candidates wins by two or more votes?)

c. What is the set of Nash equilibria for k m?

If, when sitting in a traffic jam, you have ever thought about the time you might save if another road were built, the next exercise may lead you to think again.

Reference no: EM13906880

Questions Cloud

Identify associated stereotypes and discriminatory behaviors : Brief explanation of one current (20th or 21st century) example of prejudice and identify associated stereotypes and discriminatory behaviors
How is technology such as iphone impacting business world : How is technology such as the iPhone impacting the business world and changing consumer decisions when purchasing goods and services?
Controller of optus communications : Maureen Shelley is controller of Optus Communications. Optus manufactures cell phones. She has prepared a list of typical costs incurred by the business. Review the list and determine whether each cost is a product cost or period cost. For product co..
Record journal entries-no entry is required state no entry : Blue Corporation, a U.S. manufacturer, sold goods to their customer in Hungary on December 12, 2014 for 6,000,000 Hungarian forints. The customer agreed to pay in Hungarian forints in 30 days. Record the journal entries that Blue would need related t..
What is the set of nash equilibria for k m : What is the set of Nash equilibria for k m? For k = m = 1, is the game the same (except for the names of the actions) as any considered so far in this chapter?
Disadvantages to incorporating and utilizing technology : disadvantages to incorporating and utilizing technology in an organization?
Proportionate non liquidating distribution : Pablo has a $63,000 basis in his partnership interest. On May 9 of the current tax year, the partnership distributes to him, in a proportionate non liquidating distribution, cash of $25,000, cash basis receivables with an inside basis of $0 and a fai..
Any excess cash is used to repay loans at month end : Foyert Corp. requires a minimum $ 30,000 cash balance. If necessary,
Cognitive and affective aspects of creativity : The cognitive and affective aspects of creativity may be its most important components. Which of these aspects is likely to have the greater effect on the other? Why

Reviews

Write a Review

Game Theory Questions & Answers

  Use the best-response approach to find all nash equilibria

Player 1 has the following set of strategies {A1;A2;A3;A4}; player 2’s set of strategies are {B1;B2;B3;B4}. Use the best-response approach to find all Nash equilibria.

  A supplier and a buyer, who are both risk neutral

A supplier and a buyer, who are both risk neutral, play the following game,  The buyer’s payoff is q^'-s^', and the supplier’s payoff is s^'-C(q^'), where C() is a strictly convex cost function with C(0)=C’(0)=0. These payoffs are commonly known.

  Pertaining to the matrix game theory problem

Pertaining to the matrix need simple and short answers, Find  (a) the strategies of the firm (b) where will the firm end up in the matrix equilibrium (c) whether the firm face the prisoner’s dilemma.

  Nash equilibria

Consider the two-period repeated game in which this stage game is played twice and the repeated-game payo s are simply the sum of the payo s in each of the two periods.

  Find the nash equilibrium

Two players, Ben and Diana, can choose strategy X or Y. If both Ben and Diana choose strategy X, every earns a payoff of $1000.

  Construct the payoff matrix for the game

The market for olive oil in new York City is controlled by 2-families, Sopranos and Contraltos. Both families will ruthlessly eliminate any other family that attempts to enter New York City olive oil market.

  Question about nash equilibrium

Following is a payoff matrix for Intel and AMD. In each cell, 1st number refers to AMD's profit, while second is Intel's.

  Finding the nash equilibrium

Determine the solution to the given advertising decision game between Coke and Pepsi, assuming the companies act independently.

  Nash equilibria to determine the best strategy

Little Kona is a small coffee corporation that is planning entering a market dominated through Big Brew. Each corporation's profit depends on whether Little Kona enters and whether Big Brew sets a high price or a low price.

  Creating a payoff table

Suppose you and your classmate are assigned a project on which you will earn one combined grade. You each wish to receive a good grade, but you also want to avoid hard work.

  Determine the nash equilibrium for trade policy

Consider trade relations in the United State and Mexico. Suppose that leaders of two countries believe the payoffs to alternative trade policies are as follows:

  Find the nash equilibrium outcomes

Use the given payoff matrix for a simultaneous move one shot game to answer the accompanying questions.

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