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;

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 1EQ: 1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed...
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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?
O a) (0,0,0);
b) (0.4, 0.4, 0);
O c) (1/3, 1/3, 1/3);
d) The core 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? O a) (0,0,0); b) (0.4, 0.4, 0); O c) (1/3, 1/3, 1/3); d) The core empty;
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