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Type: Journal article
Title: A geometrical perspective for the bargaining problem
Author: Wong, Kelvin Kian Loong
Citation: PLoS ONE, 2010; 5(4):e10331 11 p.
Publisher: Public Library of Science
Issue Date: 2010
ISSN: 1932-6203
School/Discipline: School of Electrical and Electronic Engineering
Statement of
Kelvin Kian Loong Wong
Abstract: A new treatment to determine the Pareto-optimal outcome for a non-zero-sum game is presented. An equilibrium point for any game is defined here as a set of strategy choices for the players, such that no change in the choice of any single player will increase the overall payoff of all the players. Determining equilibrium for multi-player games is a complex problem. An intuitive conceptual tool for reducing the complexity, via the idea of spatially representing strategy options in the bargaining problem is proposed. Based on this geometry, an equilibrium condition is established such that the product of their gains over what each receives is maximal. The geometrical analysis of a cooperative bargaining game provides an example for solving multi-player and non-zero-sum games efficiently.
Rights: © 2010 Kelvin Kian Loong Wong. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
DOI: 10.1371/journal.pone.0010331
Appears in Collections:Electrical and Electronic Engineering publications

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