Title :
A new approach to counting Nash equilibria
Author :
Rojas, J. Maurice
Author_Institution :
Dept. of Math., MIT, Cambridge, MA, USA
Abstract :
The trickle-down of useful computational techniques from algebraic geometry to the applied world is notoriously slow. So the author remedies this in a small way by giving a simple introduction to some powerful new techniques for solving equations. The methods presented lead to the fastest known algorithms for real-solving-finding the real (as opposed to complex) solutions of a system of polynomial equations
Keywords :
computational geometry; polynomials; Nash equilibria counting; algebraic geometry; computational techniques; equation solving; polynomial equations; real solutions; Biology computing; Computational biology; Computational geometry; Computational systems biology; Computer graphics; Mathematics; Nonlinear equations; Polynomials; Power generation economics; Robots;
Conference_Titel :
Computational Intelligence for Financial Engineering (CIFEr), 1997., Proceedings of the IEEE/IAFE 1997
Conference_Location :
New York City, NY
Print_ISBN :
0-7803-4133-3
DOI :
10.1109/CIFER.1997.618925