Buch, Englisch, 338 Seiten, Format (B × H): 174 mm x 247 mm, Gewicht: 817 g
Buch, Englisch, 338 Seiten, Format (B × H): 174 mm x 247 mm, Gewicht: 817 g
ISBN: 978-0-19-852080-1
Verlag: Oxford University Press
Minority games are simple mathematical models initially designed to understand the co-operative phenomena observed in markets.
Their core ingredients are large numbers of interacting decision-making agents, each aiming for personal gain in an artificial `market' by trying to anticipate (on the basis of incomplete information, and with an element of irrationality) the actions of others. Gain is made by those who subsequently find themselves in the minority group, e.g. those who end up buying when most wish to sell or vice versa.
Aimed at researchers and students in physics, mathematics and economics this text describes the mathematical theory of Minority Games from a statistical mechanics viewpoint. It provides a detailed and explicit introduction to the advanced mathematical analysis of these models, describes the potential and restrictions of physical methods in solving agent based market models, and outlines how different mathematical approaches are related.
Zielgruppe
Researchers in mathematics, physics, econophysics, statistical mechanics
Autoren/Hrsg.
Fachgebiete
- Wirtschaftswissenschaften Finanzsektor & Finanzdienstleistungen Anlagen & Wertpapiere
- Wirtschaftswissenschaften Finanzsektor & Finanzdienstleistungen Bankwirtschaft
- Wirtschaftswissenschaften Betriebswirtschaft Wirtschaftsmathematik und -statistik
- Wirtschaftswissenschaften Volkswirtschaftslehre Volkswirtschaftslehre Allgemein Ökonometrie
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
Weitere Infos & Material
- 1: Introduction
- 2: Preparing the stage for statistical mechanics
- 3: Pseudo-equilibrium replica analysis
- 4: Dynamics of the batch MG with fake memory
- 5: Dynamics of the on-line MG with fake memory
- 6: The overall bid distribution
- 7: MG versions with new types of phase transitions
- 8: Dynamics of MGs with true market history
- 9: Variations and generalizations
- 10: Notes
- Appendices
- Simple mathematical conventions and tools
- Integrals
- Moments of random matrices
- Expansion of bid sign recurrence probabilities
- Combinatorics in history frequency moments
- Details of numerical simulation experiments
- References
- Index
