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

Explain gdp, You are given the following information about an economy: ...

You are given the following information about an economy: Gross Investment  =                                                         40 Govt. purchases of goods & service =

Happens with the budget constraint, Suppose that Ana is buying only 2 goods...

Suppose that Ana is buying only 2 goods: good 1 and 2. If the price of good 1 doubles and the price of good 2 drops by one third, then what happens with the budget constraint? (Ass

Demand analysis, how the demand of pizzas in pizza hut affecting the market...

how the demand of pizzas in pizza hut affecting the market of fast food

After your last deposit withdraw immediately, You make a monthly deposit of...

You make a monthly deposit of $1,000 into a saving account for the next 10 years. How much can you withdraw immediately after your last deposit if your saving account pays 6% per y

Economics, list of macro-economics problems of indian economy

list of macro-economics problems of indian economy

Lilie, What are the requirements for something to be considered money? Why ...

What are the requirements for something to be considered money? Why does the dollar have value?

Onfidence interval for the population, A local movie theater wants to know ...

A local movie theater wants to know how much popcorn they should stock for a given movie showing. Records from 94 movies reveal a mean of 57 boxes and a standard deviation of 17.8.

Mutual funds into stock also funds from money market, How would the followi...

How would the following influence the growth rates of theM1 and M2 money supply figures over time? a. an increase in the quantity of U.S. currency held overseas b. a shift of f

KEYNESIAN CROSS MODEL, In the keynesian cross model, assume the consuption ...

In the keynesian cross model, assume the consuption function is given by C=200=.75(Y-T) and planned investment=100, government purchases and taxes are each of them 100. a) Draw a g

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