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 the facts or economics rate, Explain the facts or economics rate ...

Explain the facts or economics rate Boom: The period leading up to the peak of the cycle when an overheating economy is experiencing high GDP growth and inflationary pressures

Country abandons its national currency, When a country abandons its nationa...

When a country abandons its national currency and adopts the currency of the United States, this is known as: A) A floating exchange rate system. B) Dollarization. C) A speculat

Firm''s output at various levels of employment, Use the following data for ...

Use the following data for a firm's output at various levels of employment (L) to calculate: a) its marginal physical product of labor (MPPL) schedule; (b) its (MPPL/MRCL) schedule

What are forms of price floors to lead inefficiency, What are forms of pric...

What are forms of price floors to lead inefficiency? Price floors frequently lead to ineffectiveness in the forms of: a. Inefficient allocation of sales in between sellers

Static and dynamic multipliertitle.., suppose c=a+by and investmentI is giv...

suppose c=a+by and investmentI is given.assuming mpc=.80 and I=50,find static and dynamic moel question #Minimum 100 words accepted#

Peoples national bank required reseves, Suppose that the reserve requiremen...

Suppose that the reserve requirement is 10 percent and the balance sheet of the People's National Bank looks like the accompanying example. a. What are the required reseves of P

Money and Banking, explain with illustration the meaning of credit creatio...

explain with illustration the meaning of credit creation in commercial banks

MPC, A change in government purchases of goods and services results in a ch...

A change in government purchases of goods and services results in a change in real GDP equal to $200 million. Assume the absence of taxes, international trade, and changes in the a

Illustrate the overview and importance of macroeconomics, Illustrate the ov...

Illustrate the overview and importance of macroeconomics? After familiar with this illustration, able to know: a. An overview of macroeconomics is the study about the econom

How do trade barriers affect international trade, Trade barriers come in a ...

Trade barriers come in a lot of forms. Quota is one. This is when a country sets a limit to the imported products. This is completed for a number of reasons. One is due to the gove

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