Computing Equilibria and Fixed Points

Zaifu Yang

ISBN 10: 1441950702 / ISBN 13: 9781441950703

Editore: Springer US, Springer US Dez 2010, 2010

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This item is printed on demand - Print on Demand Titel. Neuware -Computing Equilibria and Fixed Points is devoted to the computation of equilibria, fixed points and stationary points. This volume is written with three goals in mind: (i) To give a comprehensive introduction to fixed point methods and to the definition and construction of Gröbner bases; (ii) To discuss several interesting applications of these methods in the fields of general equilibrium theory, game theory, mathematical programming, algebra and symbolic computation; (iii) To introduce several advanced fixed point and stationary point theorems. These methods and topics should be of interest not only to economists and game theorists concerned with the computation and existence of equilibrium outcomes in economic models and cooperative and non-cooperative games, but also to applied mathematicians, computer scientists and engineers dealing with models of highly nonlinear systems of equations (or polynomial equations).Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 364 pp. Englisch.

Codice articolo 9781441950703

Dati bibliografici

• Titolo: Computing Equilibria and Fixed Points
• Editore: Springer US, Springer US Dez 2010
• Data di pubblicazione: 2010
• Lingua: Inglese
• ISBN 10: 1441950702
• ISBN 13: 9781441950703
• Rilegatura: Taschenbuch
• Condizione: Neu
• Dimensioni: 235 L x 155 A x 20 P (millimetri) 235 millimetri di larghezza per 155 millimetri di altezza per 20 millimetri di profondità
• Peso: 552 grammi

Descrizione articolo

Riassunto

Computing Equilibria and Fixed Points is devoted to the computation of equilibria, fixed points and stationary points. This volume is written with three goals in mind: (i) To give a comprehensive introduction to fixed point methods and to the definition and construction of Gröbner bases; (ii) To discuss several interesting applications of these methods in the fields of general equilibrium theory, game theory, mathematical programming, algebra and symbolic computation; (iii) To introduce several advanced fixed point and stationary point theorems. These methods and topics should be of interest not only to economists and game theorists concerned with the computation and existence of equilibrium outcomes in economic models and cooperative and non-cooperative games, but also to applied mathematicians, computer scientists and engineers dealing with models of highly nonlinear systems of equations (or polynomial equations).

Contenuti

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. Gröbner Bases for Solving Polynomial Systems. 13. Intersection Theory. 14. Sperner Theory. References. Index.