Stochastic games are have an element of chance: the state of the next round is determined probabilistically depending upon players' actions and the current state. Successful players need to balance the need for short-term payoffs while ensuring future opportunities remain high. The various techniques needed to analyze these often highly non-trivial games are a showcase of attractive mathematics, including methods from probability, differential equations, algebra, and combinatorics. This book presents a course on the theory of stochastic games going from the basics through to topics of modern research, focusing on conceptual clarity over complete generality. Each of its chapters introduces a new mathematical tool – including contracting mappings, semi-algebraic sets, infinite orbits, and Ramsey's theorem, among others – before discussing the game-theoretic results they can be used to obtain. The author assumes no more than a basic undergraduate curriculum and illustrates the theory with numerous examples and exercises, with solutions available online.
Produkteigenschaften
- Artikelnummer: 9781316516331
- Medium: Buch
- ISBN: 978-1-316-51633-1
- Verlag: Cambridge University Press
- Erscheinungstermin: 15.04.2022
- Sprache(n): Englisch
- Auflage: Erscheinungsjahr 2022
- Serie: London Mathematical Society Student Texts
- Produktform: Gebunden
- Gewicht: 606 g
- Seiten: 275
- Format (B x H x T): 157 x 235 x 21 mm
- Ausgabetyp: Kein, Unbekannt
Themen
- Mathematik | Informatik
- EDV | Informatik
- Programmierung | Softwareentwicklung
- Algorithmen & Datenstrukturen
- Interdisziplinäres
- Wissenschaften
- Wissenschaften: Forschung und Information
- Risikobewertung, Risikotheorie
- Mathematik | Informatik
- EDV | Informatik
- Programmierung | Softwareentwicklung
- Algorithmen & Datenstrukturen