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