| Titre : | Modeles physique : Et methodes de la theorie de liquilibre en programmation et en economie |
| Auteurs : | b. Razoumikhine |
| Type de document : | texte imprimé |
| Editeur : | paris : Moscou, 1978 |
| Format : | 285p. / ill / 24cm. |
| Note générale : | Bibliogr. p. 277-279. Index |
| Langues: | Français |
| Langues originales: | Français |
| Index. décimale : | 004 (informatique en général) |
| Catégories : | |
| Mots-clés: | Programmation |
| Résumé : |
Here's a breakdown of what it might cover:
Physical Models and Equilibrium: The book would likely start by introducing fundamental concepts of equilibrium from physics. This might include discussions on forces, energy minimization, stability, and different types of equilibria (stable, unstable, neutral). It would then explore how these concepts can be mathematically formulated. Equilibrium Theory in Mathematical Programming: This section would likely focus on how the idea of equilibrium can be applied to optimization problems. This could involve: Variational Inequalities: Framing optimization problems as finding an "equilibrium" point where a certain inequality holds. Saddle Points: Discussing how solutions to certain optimization problems (especially those involving duality) can be characterized as saddle points, a concept related to equilibrium. Game Theory Connections: Exploring the link between equilibrium concepts in game theory (like Nash equilibrium) and optimization. Algorithms: Presenting algorithms inspired by physical equilibrium processes to solve optimization problems (e.g., methods based on potential functions or dynamics). Equilibrium Theory in Economics: This part would delve into the extensive use of equilibrium concepts in economic modeling, including: Market Equilibrium: Analyzing how supply and demand forces reach an equilibrium price and quantity. General Equilibrium Theory: Studying the simultaneous equilibrium of multiple interconnected markets. Game Theory: Examining strategic interactions between economic agents and the resulting equilibria. Dynamic Equilibrium: Analyzing equilibrium in models that evolve over time. Methodological Connections: A key aspect of the book would likely be to highlight the underlying mathematical structures and methodologies that are common across these seemingly different fields. This could involve: Fixed Point Theorems: Discussing how theorems like Brouwer's or Kakutani's are used to prove the existence of equilibria in various contexts. Optimization Techniques: Showing how optimization methods can be used to find equilibrium points. Dynamical Systems: Exploring how the dynamics of reaching equilibrium can be modeled and analyzed. In summary, the book likely aims to provide a unified perspective on equilibrium theory by demonstrating its fundamental principles through physical analogies and then showcasing its powerful applications and shared mathematical tools in both mathematical programming (optimization) and economics. It would likely be of interest to researchers and students in these fields who are looking for a deeper understanding of the theoretical underpinnings of equilibrium concepts and their interdisciplinary connections. |
Exemplaires (1)
| Code-barres | Cote | Support | Localisation | Section | Disponibilité |
|---|---|---|---|---|---|
| Info.A/4 | 004/03/1 | Livre | BU Centrale Batna 1 | Deuxième étage : Architecture, sciences et technologies | Disponible |
