1. ● Three players together can obtain 1 to share, any two players can obtain 0.8, and one player by herself can obtain zero. ● Then, N= 3 and v(1) = v(2) = v(3) = 0, v(1, 2) = v(2, 3) = v(3, 1) = 0.8, v(1, 2, 3) = 1. Which allocation is in the core of this coalitional game? a) (0,0,0); b) (0.4, 0.4, 0); c) (1/3, 1/3, 1/3); d) The core is empty;

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter13: General Equilibrium And Welfare
Section: Chapter Questions
Problem 13.5P
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Three players together can obtain 1 to share, any two players can obtain 0.8, and one player by herself can obtain zero.
Then, N= 3 and v(1) = v(2) = v(3) = 0, v(1, 2) = v(2, 3) = v(3, 1) = 0.8, v(1, 2, 3) = 1.
●
Which allocation is in the core of this coalitional game?
a) (0,0,0);
b) (0.4, 0.4, 0);
c) (1/3, 1/3, 1/3);
d) The core is empty;
Transcribed Image Text:1. Three players together can obtain 1 to share, any two players can obtain 0.8, and one player by herself can obtain zero. Then, N= 3 and v(1) = v(2) = v(3) = 0, v(1, 2) = v(2, 3) = v(3, 1) = 0.8, v(1, 2, 3) = 1. ● Which allocation is in the core of this coalitional game? a) (0,0,0); b) (0.4, 0.4, 0); c) (1/3, 1/3, 1/3); d) The core is empty;
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