ECO355 Game Theory. I need right anwer of problems and why. 12. Player 1 and Pla
ID: 1146443 • Letter: E
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ECO355 Game Theory. I need right anwer of problems and why.
12. Player 1 and Player 2 choose and integer between 0 and 100. Their choice is made simultaneously and independently. Suppose player 1 chooses x and player 2 chooses y. If x < y Player 1 obtains x and Player 2 obtains zero. Similarly, if y < x Player 2 obtains y and Player 1 obtains zero. If x = y then each one obtains x/2. The number of pure strategy Nash equilibrium is _________(Please, enter only a numerical values, for example: 0, 1, 2,...,50, etc.).
L> Moving to another question will save this response Question 8 Consider a game with two players deciding simultaneously how much to donate for a party. Let d1 be the amount donated by player 1 and d2 th numbers. Once the money is donated players cannot get it back, no matter whether the party is organized or not. They will be able to organize t dollars i.e., di+d22 150 If they organize the party, Player 1's payoff is 1-100-di , Player 2's payoff is 2-100-d2·lf the do not organize the party, their payoffs a Which of the following are Nash equilibrium donations (select all that apply) a. d1 =0 and d2 =0. b.d1 -90 and d2 -90. c, d 1 =75 and d2 =75. d.d1-90 and d2-60.Explanation / Answer
12> We need to determine the number of pure strategy Nash Equilibrium.
If one player chooses number x>2, then the best strategy for the other player is to play (x-1) and thus the first player gets nothing.
If, x=2, then the other player can choose 1 or 2 and gets a payoff of 1.
If x=1, then the other player will play 1 to get a payoff of 1/2.
if x=0, the other player can play anything.
Thus, the NEs are (0,0), (1,1), (2,2)
So, the total number is 3.
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