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

When ochratoxin molds can occur, Q. When Ochratoxin molds can occur? Oc...

Q. When Ochratoxin molds can occur? Ochratoxin A is a phenylalanyl derivative of a substituted isocoumarin produced by Penicillium verrucosum in temperate climate and by severa

Production possibilities table for consumer goods, To the right is a produc...

To the right is a production possibilities table for consumer goods (automobiles) and capital goods (forklifts): a. Show these data graphically. Upon what specific assumptions is t

U.s. department of agriculture, Suppose that the U.S. Department of Agricul...

Suppose that the U.S. Department of Agriculture (USDA) administers the price floor for cheese, set at $0.17 per pound of cheese. (The price floor is officially set at $16.10 per hu

Gdp, explain the structure of the economy and its impact on the gdp of soun...

explain the structure of the economy and its impact on the gdp of sountry.

The core of macroeconomics, Suppose in the Republic of Madison that the reg...

Suppose in the Republic of Madison that the regulation of banking rested with the Madison Congress, including the determination of the reserve ratio. The Central Bank of Madison is

Negative outflow to the u.s. balance, A negative outflow to the U.S. balanc...

A negative outflow to the U.S. balance of payments is generated by the purchase of United States assets (such as United States Treasury bonds) by foreign investors and the sale of

State the private sector in the circular flow, State the Private sector in ...

State the Private sector in the circular flow Private sector total income is known as the national income. As private sector receives entire return from the factors of prod

Models, give three example of models show endogenous and exogenous varibles...

give three example of models show endogenous and exogenous varibles

Groth model, what role does interst rate play in refernce to output?

what role does interst rate play in refernce to output?

International trade, what are the limits of the trade between franci and ga...

what are the limits of the trade between franci and galacia

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