Draw the strategic form game, Macroeconomics

Assignment Help:

Consider a two-player game where player A chooses "Up," or "Down" and player B chooses "Left," "Center," or "Right". Their player is as follows: When player A chooses "Up" and player B chooses "Left" player A gets $5 while player B gets $2. When player A chooses "Up" and player B chooses "Center" they get $6 and $1 correspondingly, while when player A chooses "Up" and player B chooses "Right" player A gets $7 while player B gets $3. Moreover, when player A chooses "Down" and player B chooses "Left" they get $6 and $2, while when player A chooses "Down" and player B chooses "Center" they both get $1. Finally, when player A chooses "Down" and player B chooses "Right" player A loses $1 and player B gets $1. Assume that the players decide simultaneously (or, in general, when one makes his decision does not know what the other player has chosen).

(a) Draw the strategic form game.

(b) Is there any dominant strategy for any of the players? Justify your answer.

(c) Is there any Nash equilibrium in pure strategies? Justify your answer fully and discuss your result.

When an action is never chosen by a player it is because this action is DOMINATED by another action (or by a combination of other actions). Dominated strategies are assigned a probability of 0 in any Nash Equilibrium in mixed strategies. Given this observation answer the following parts of this problem:

(d) Find the best response functions and the mixed strategies Nash Equilibrium if each player randomizes over his actions.

(e) Show graphically the best responses and the Nash Equilibria (in pure and in mixed strategies).

 


Related Discussions:- Draw the strategic form game

Calculate present value and interest rate, You win a lottery. You have the ...

You win a lottery. You have the choice of two ways to be paid. If you pick Payout Scheme X, you get $2,750 today. If you pick Payout Scheme Y, you get three payments: $1,000 today,

Mathematical presentation of indifference curve, Mathematical Presentation:...

Mathematical Presentation: Consider the utility function U = U(x 1 , x 2 ). Differentiating totally, we get the following: dU = U 1 dx 1 + U 2 dx 2 = 0 (as along the indiffe

Monetary policy, Let us now see a bit more closely how monetary policy work...

Let us now see a bit more closely how monetary policy works. See Figure Figure  The initial equilibrium at point E is on the initial LM schedule that corresponds to a

What is privatization?, Privatization is the move of ownership from the pub...

Privatization is the move of ownership from the public sector (government) to the private sector (business).

Trade policy - summary, TRADE policy: We are now in a position to sum ...

TRADE policy: We are now in a position to sum up our analysis of India's trade policy. First, India's trade policy has always been very intricately related to India's basic de

DSGE model, I need to run DSGE model of one published paper of another auth...

I need to run DSGE model of one published paper of another author. Just I would like to request to run that paper using MATLAB(Dynare). And send me the dynare code.m 100 words acce

Trade-off proposals, While referring to the "EYE on YOUR LIFE" section on p...

While referring to the "EYE on YOUR LIFE" section on page 235 of the textbook, and the economic concepts you have accumulated during our course, consider the trade policies that se

No relationship between the two at other times, Do some research and find t...

Do some research and find the inflation rate and the level of unemployment in the U.S. economy for the past 40 years. Is there a relationship between the two? If so, what type of r

How do you explain gni per capita, To determine of the wealth is earned by ...

To determine of the wealth is earned by nations by economic activates all around the globe. Gross National Income comprises the total value of goods and services formed within a

State the important aspects of inflation data for sweden, Four aspects are ...

Four aspects are interesting when we look at inflation data for Sweden During 1800s, when Sweden was primarily an agricultural society, deflation where almost as common as

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