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

Price level depends on current money supply and future, If the price level ...

If the price level depends on both the current money supply and future expected money supplies, in order to stop a hyperinflation, a central bank may try to establish credibility b

What are the four different measures of gdp, What are the Four different me...

What are the Four different measures of GDP Using circular flow model we see that there are 4 equivalent techniques of measuring GDP: Using the definition: market value

Calculate the normalization constant, This is a maple assignment, but it is...

This is a maple assignment, but it is also a research assignment. You will have to consult earlier worksheets, textbooks, and perhaps the internet to answer some of these questio

Enumerate the statement- interest rates with longer maturity, Enumerate the...

Enumerate the statement- Interest rates with longer maturity Since loans with longer maturities are substitutes for overnight loans, the central bank also has some control o

Willing to hold money, Was money a better store of value in the United Stat...

Was money a better store of value in the United States in the 1950s than it was in the 1970s? Why or why not? In which period would you have been willing to hold money? Which one w

Production function stuff, 1. Given the following production function: ...

1. Given the following production function: Y = K1/4 L3/4 Find the following: a. Per worker production function. b. Steady-state capital-labor ratio as a function of d and

Money demand function, Assume that the money demand function is (M/P) d = 2...

Assume that the money demand function is (M/P) d = 2,200 - 200r, where r is the interest rate in percent. The money supply M is 2,000 and the price level P is2. If the price level

Solve equilibrium price and the equilibrium quantity, Suppose that a widget...

Suppose that a widget market is described by the following supply and demand equations. Supply: Q = 3 P Demand: Q =400 - P a. Solve for the equilibrium price and the

Price of its cabernet sauvignon, When Sonoma Vineyards reduces the price of...

When Sonoma Vineyards reduces the price of its Cabernet Sauvignon from $15 a bottle to $12 a bottle, the result is an increase in a. the demand for this wine b. the supply of

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