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

Population growth is greater than the growth of real output, If population ...

If population growth is greater than the growth of real output, A. real per capita Gross Domestic Product (GDP) growth will be less than the growth of real Gross Domestic Product

Assumed in constructing a typical production, Which of the following is ass...

Which of the following is assumed in constructing a typical production possibilities curve? a. the economy is engaging in international trade. b. production technology is fix

Gpd., the whole explanation of dpd

the whole explanation of dpd

Propose with respect the issue that you identified, Discuss what policy cha...

Discuss what policy changes he might be likely to propose with respect the issue that you identified as one about which he might be concerned.

Change in nominal gdp, By given scenario answer the following questions. ...

By given scenario answer the following questions. 1. What phase of the business cycle is the economy? 2. If inflation increased by 5% during the same period, what was the cha

Consumption, (40 points) Consider two consumers, A and B. A and B both want...

(40 points) Consider two consumers, A and B. A and B both want perfect consumption smoothing (c = cf) and both have no current wealth. However, the two consumers have different inc

Cost benefit analysis-vat, (1) Based on the article, describe as best you c...

(1) Based on the article, describe as best you can: (i) the reference group for the cost benefit analysis, (ii) the purpose of the study (i.e., what is the "project" in this

Estimate the mean value, Cornell University conducted a study of wage diffe...

Cornell University conducted a study of wage differentials between men and women reported that one reason that men's wages are higher is that men tend to have more years of work ex

Economics, what is a limitation of nation income

what is a limitation of nation income

Economists who believe that monetary policy, Those economists who believe t...

Those economists who believe that monetary policy is more potent than fiscal policy argue that the: A) Responsiveness of money demand to the interest rate is large. B) Responsive

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