Computing Equilibria and Fixed Points: The Solution of Nonlinear Inequalities
Zaifu Yang · 2013
Preface. 1. Mathematical Preliminaries. 2. Applications in Game Theory and Economics. 3. First Algorithms for Computing Fixed Points. 4. Simplicial Homotopy Algorithms. 5. Variable Dimension Restart Algorithms. 6. An Algorithm for Integer Linear Programming. 7. Refinement and Stability of Stationary Points. 8. Computing a Continuum of Zero Points. 9. Computer Stationary Points on Polytopes. 10. The Computation of Antipodal Fixed Points. 11. Computing All Roots of Univariate Polynomials. 12. Grobner Bases for Solving Polynomial Systems. 13. Intersection Theory. 14. Sperner Theory. References. Index.