CooperativeGameTheory

# CooperativeGameTheory - What is the sum of the following...

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What is the sum of the following infinite series 1+x+x2+x3+… xn… where 0<x<1? A) Infinity B) 1+2x C) 1+3x D) 1/x E) 1/(1-x)

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Cooperative Game Theory
Coalitional Games Focus on what groups can accomplish if they work together. Contrast to Nash equilibrium which focuses on what individuals can do acting alone. (sometimes known as non- cooperative game theory)

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Coalitional Game with transferable payoffs A set of players N. A coalition S is a subset of N. Grand coalition is N itself. Coalitional game with transferable payoffs assigns a value v(S) to every subset of S. An action for the coalition S is a distribution of Its total value to its members.
Two Player unanimity game: An Almost Trivial Example Players 1 and 2. Non-empty subsets are {1},{2},{1,2}. Let v({1})=v({2})=0 and v({12})=1. Set of actions available to coalition {1,2}, are distributions of payoffs (x1,x2) such that x1≥0, x2≥0, and x1+x2=1.

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Three player majority game: A (slightly) more interesting
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## This note was uploaded on 12/25/2011 for the course ECON 171 taught by Professor Charness,g during the Fall '08 term at UCSB.

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CooperativeGameTheory - What is the sum of the following...

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