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
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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.
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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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