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BibTeX entry
@Article{Parreiras:2014:URC,
author = "S{\'e}rgio O. Parreiras",
title = "Using {Reduce} to Compute {Nash} Equilibria: Classroom
Tools for Game Theory",
journal = j-MATHEMATICA-J,
volume = "16",
number = "??",
pages = "??--??",
month = "????",
year = "2014",
CODEN = "????",
DOI = "https://doi.org/10.3888/tmj.16-3",
ISSN = "1047-5974 (print), 1097-1610 (electronic)",
bibdate = "Wed Sep 10 10:37:47 MDT 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/mathematicaj.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
http://www.mathematica-journal.com/issue/v0i0/",
note = "See \cite{Kampas:2005:TUR}.",
URL = "http://www.mathematica-journal.com/2014/03/using-reduce-to-compute-nash-equilibria/",
abstract = "The Karush--Kuhn--Tucker equations (under suitable
conditions) provide necessary and sufficient conditions
for the solution of the problem of maximizing
(minimizing) a concave (convex) function. This article
corrects the program in \cite{Kampas:2005:TUR}, which
computes the solution of Karush--Kuhn--Tucker
equations. Our main goal, however, is to provide a
program to compute the set of all Nash equilibria of a
bimatrix game. The program works well for ``small''
games (i.e. $ 4 \times 4 $ or smaller games); thus, in
particular, it is suitable for constructing classroom
examples and as an additional tool to empower students
in classes using game theory. \ldots{}",
acknowledgement = ack-nhfb,
}
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