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).
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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.
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Hardcover. Condizione: new. Hardcover. This text is devoted to the computation of equilibria, fixed points and stationary points. It has been written with three goals in mind: to give a comprehensive introduction to fixed point methods and to the definition and construction of Grobner bases; to discuss several interesting applications of these methods in the fields of general equilibrium theory, game theory, mathematical programming, algebra and symbolic computation; and 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 co-operative and non-co-operative games, but also to applied mathematicians, computer scientists and engineers dealing with models of highly nonlinear systems of equations (or polynomial equations). Computing Equilibria and Fixed Points is devoted to the computation of equilibria, fixed points and stationary points. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9780792383956
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Buch. Condizione: Neu. 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). Codice articolo 9780792383956
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Hardcover. Condizione: new. Hardcover. This text is devoted to the computation of equilibria, fixed points and stationary points. It has been written with three goals in mind: to give a comprehensive introduction to fixed point methods and to the definition and construction of Grobner bases; to discuss several interesting applications of these methods in the fields of general equilibrium theory, game theory, mathematical programming, algebra and symbolic computation; and 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 co-operative and non-co-operative games, but also to applied mathematicians, computer scientists and engineers dealing with models of highly nonlinear systems of equations (or polynomial equations). Computing Equilibria and Fixed Points is devoted to the computation of equilibria, fixed points and stationary points. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Codice articolo 9780792383956
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