Matrices representing two player zerosum games

Assignment Help Game Theory
Reference no: EM131332116

Let A = (aij ) and B = (bij ) be two n × m matrices representing two-player zerosum games in strategic form. Prove that the difference between the value of A and the value of B is less than or equal to

maxni=1 maxmj=1 |aij - bij|.

Reference no: EM131332116

Questions Cloud

Assuming the international fisher effect holds : One of your clients, a wealthy Houstonian, asks you to evaluate the following investment in a mining venture in Mexico. The investment (outlay) is 2 million dollars. Assuming the International Fisher Effect holds, Find the NPV of the project (in doll..
Identify all of the errors in the imported spss file : Import the given Application Data Set into SPSS, and then identify all of the errors in the imported SPSS file. For each error that you identify, explain why it is an error and how you fixed it
What problems or barriers will she encounter and why : Jamie Lynn, a Health Educator for a small non-profit community organization, is in the process of designing and developing a health education program for her community. After conducting a thorough needs assessment, she has determined that the adol..
Stocks dividend is expected to grow at constant rate : A stocks dividend is expected to grow at a constant rate of 5 percent a year. Which of the following statements is most correct?
Matrices representing two player zerosum games : Let A = (aij ) and B = (bij ) be two n × m matrices representing two-player zerosum games in strategic form. Prove that the difference between the value of A and the value of B is less than or equal to:
Besides avoiding credit cards for new purchases : Besides avoiding credit cards for new purchases can you think of other ways that Tracy and max could have budgeted their money and paid off the debt more quickly? How many more months will it take Tracy and max to pay off the third smallest debt if t..
Compare the concepts of determinism and compatibilism : Compare and contrast the concepts of determinism, compatibilism, and libertarianism, as outlined in Chapter 4. What are the strengths and weaknesses of each of these positions? Which one do you believe is the most likely to be correct? Why?Compare..
The value in mixed strategies of the game : Prove that the function that associates with every matrix A = (aij ) ∈ Mn,m the value in mixed strategies of the game that it represents is continuous in (aij ).
Where are there breaches of ethical behavior : Address the following questions: What are the ethical issues? Where are there breaches of ethical behavior? How could each ethical theory you cite help people think about what constitutes virtuous or ethical behavior

Reviews

Write a Review

Game Theory Questions & Answers

  Prove that every game has a nash equilibrium

Prove that every 2 × 2 game has a Nash equilibrium. -  Do this by considering the following general game and breaking the analysis:

  Find the equilibrium when the two firms move simultaneously

Write down the payoff table for this game, and find the equilibrium when the two firms move simultaneously. Write down the game tree for this game, with Coke moving first and Pepsi following.

  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.

  Approximation to the binomial

An injection molding machine produces golf tees that are 20.0% nonconforming. Using the normal distribution as an approximation to the binomial, find the probability that, in a random sample of 360 golf tees, 65 or less are nonconforming. Show you..

  What is the payoff of a person whose number is the highest

What is the payoff of a person whose number is the highest of the three? Can she increase this payoff by announcing a different number?

  Find the subgame perfect nash equilibria

Find the subgame perfect Nash equilibria of this new model and compare it/them with the subgame perfect equilibrium of the original model.

  Show that army can increase its subgame perfect equilibrium

Show that army 2 can increase its subgame perfect equilibrium payoff (and reduce army 1's payoff) by burning the bridge to its mainland, eliminating its option to retreat if attacked.

  Which must be greater than or equal to zero

First, player 1 selects a real number x, which must be greater than or equal to zero. Player 2 observes x.- Then, simultaneously and independently, player 1 selects a number y1 and player 2 selects a number y2, at which point the game ends.

  Determine nash equilibrium

The following payoff matrix represents long run payoffs for 2-duopolists faced with the option of purchasing or leasing buildings to use for production.

  Problem 1a in the game from the previous problem set old

problem 1a in the game from the previous problem set old lady crossing the street identify all pure strategy nash

  Increasing payoffs and eliminating actions

Give examples to show that neither of the above properties necessarily holds for a game that is not strictly competitive.

  Calculate and graph each players best response function

Calculate and graph each player's best-response function as a function of the opposing player's pure strategy.- Find and report the Nash equilibria of the game.

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