Consider the folliwng 3 x 3 two player normal form game that is being repeated infinite number of times. The strategy for player 2 is to play Z all thetime. Player 1 is confused between two strategies: (i) play C all the time, and (ii) play A all the time. The discounting factor for player 1 is ố1 = 0.52and the discounting factor for player 2 is 82 = 0.51.XY(31 , 31)(41 , 90)(36 , 31)(33, 22)(18 , 36)(26 , 53)A(35 , 56)C(26 , 15)(41 , 69)a. Find the total discounted utility for both player 1 and player 2 if player 1 decides to play the first stratgy (playing C all the time). [b. Find the total discounted utility for both player 1 and player 2 if player 1 decides to play the second stratgy (playing A all the time).c. Out of these two strategies, which one should player 1 choose? Why? (Use maximum 3 sentences)

Answer:- (a) When P2 always play Y, then Eqm each pd(A,Y)=(21,28) For…

Answered: Consider the folliwng 3 x 3 two player…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In this Decision Point activity, you began to explore game theory: specifically, how your outcomes are dependent not just on your own choices, but also on the reactions of competitors. Use what you learned from this decision point, and information from the chapter to answer the following question. Suppose Nike and Adidas are considering whether to develop new advertising campaigns. For each pair of strategies, the blue triangle shows Nike's payoff and the yellow triangle shows Adidas's payoff, in billions. Use this information to complete the sentences. Adidas's choices Advertise Do not advertise Advertise $6b Nike's choices -$3b $6b $14b Do not advertise $14b $10b -$3b $10b The best outcome for Nike is to choose and for Adidas to choose If Adidas chooses not to advertise, their best result will happen if Nike chooses The Nash equilibrium for this advertising game is for Nike to choose and for Adidas Answer Bank to advertise not to advertise
The following game is played by 2 players Solve the equilibrium for this game.
1 Find the set of best answers to the mixed strategy x = G33) for the game A = -1 1 1 -1
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1. Suppose two roommates i = 1,2 must decide how much time, 5< tį < 10 (and integer), to spend on cleaning their apartment. The payoff (per unit) to roommate i = 1,2 is given by the following function: (20i Pij (50j – 30i if j 2i if j
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