Consider the four-player game with the followingcharacteristic function:v({1, 2, 3}) v({1, 2, 4}) v({1, 3, 4})v({2, 3, 4}) 75 v({1, 2, 3, 4}) 1001, 2, v({3, 4}) 60v(v(S) 0 for all other coalitionsShow that this game has an empty core.
Consider the four-player game with the followingcharacteristic function:v({1, 2, 3}) v({1, 2, 4}) v({1, 3, 4})v({2, 3, 4}) 75 v({1, 2, 3, 4}) 1001, 2, v({3, 4}) 60v(v(S) 0 for all other coalitionsShow that this game has an empty core.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the four-player game with the following
characteristic function:
v({1, 2, 3}) v({1, 2, 4}) v({1, 3, 4})
v({2, 3, 4}) 75
v({1, 2, 3, 4}) 100
1, 2, v({3, 4}) 60
v(v(S) 0 for all other coalitions
Show that this game has an empty core.
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