Suppose we are given a cooperative game G = ({1, 2}, v) with characteristic function v defined

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Suppose we are given a cooperative game G = ({1, 2}, v) with characteristic function v defined by:

Show that weighted voting games cannot capture this “singleton” game: we will not be able to find a quota q and weights w_i such that for all coalitions C, Σ_i∈C w_i ≥ q iff C contains exactly one player.

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Artificial Intelligence A Modern Approach

ISBN: 9780134610993

4th Edition

Authors: Stuart Russell, Peter Norvig

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Question Posted: Mar 10, 2023 08:56 AM

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Suppose we are given a cooperative game G = ({1, 2}, v) with characteristic function v defined

Question:

v (C) = J 1 if C contains exactly one player 0 otherwise.

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Suppose for sake of contradiction that there does exist a weighted voting game to re...View the full answer

Artificial Intelligence A Modern Approach

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