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

Gross domestic production, why is imports subtracted from the expenditure a...

why is imports subtracted from the expenditure approach

Show the destruction of capital, Q. Show the Destruction of capital? De...

Q. Show the Destruction of capital? Destruction of capital, for instance, through a war, works in the opposite way. Marginal product of labor falls, GDP per capita falls and po

Unplanned and planned investment spending, A sudden decrease in the growth ...

A sudden decrease in the growth rate of GDP will cause a change in: A. planned investment spending. B. unplanned investment spending. C. both planned and unplanned investment spend

Mtric, Rewrite the national-income model (3.23) in the format of (4.1), wit...

Rewrite the national-income model (3.23) in the format of (4.1), with Y as the first vari¬able. Write out the coefficient matrix and the constant vector.

Determine the daily amount and ipa, A brewery produces two kinds of beer, s...

A brewery produces two kinds of beer, stout and IPA . Each batch of stout sells for $60 per unit while each batch of IPA sells for $108. Both products require malt, hops, barley, f

Right to sell blood, Singer suggests that although the right to sell blood ...

Singer suggests that although the right to sell blood does not threaten the formal right to give blood, it is incompatible with "the right to give blood, which cannot be bought, wh

Traditional business cycle, casual factors of traditional business cycle an...

casual factors of traditional business cycle and its effects on the sectors of the economy

What is the macroeconomic policy, Macroeconomic policy Macroeconomic p...

Macroeconomic policy Macroeconomic policy trade-offs are likely along the short-run Phillips curve however are not maintainable in the long run. In the short run a government

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

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