A course in Stochastic game theory:
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 tech...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
[2022]
|
| Schriftenreihe: | London Mathematical Society student texts
103 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1017/9781009029704 https://doi.org/10.1017/9781009029704 https://doi.org/10.1017/9781009029704 https://doi.org/10.1017/9781009029704 https://doi.org/10.1017/9781009029704 https://doi.org/10.1017/9781009029704 https://doi.org/10.1017/9781009029704 https://doi.org/10.1017/9781009029704 |
| Zusammenfassung: | 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 |
| Umfang: | 1 Online-Ressource (ix, 267 Seiten) |
| ISBN: | 9781009029704 |
| DOI: | 10.1017/9781009029704 |
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Datensatz im Suchindex
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| indexdate | 2024-12-20T19:41:33Z |
| institution | BVB |
| isbn | 9781009029704 |
| language | English |
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| spelling | Solan, Eilon 1968- (DE-588)171780345 aut A course in Stochastic game theory Eilon Solan Cambridge Cambridge University Press [2022] 1 Online-Ressource (ix, 267 Seiten) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society student texts 103 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 Game theory Algebra (DE-588)4001156-2 gnd rswk-swf Spieltheorie (DE-588)4056243-8 gnd rswk-swf Stochastik (DE-588)4121729-9 gnd rswk-swf Spieltheorie (DE-588)4056243-8 s Stochastik (DE-588)4121729-9 s Algebra (DE-588)4001156-2 s DE-604 Erscheint auch als Druck-Ausgabe 978-1-31-651633-1 Erscheint auch als Druck-Ausgabe, Paperback 978-1-009-01479-3 https://doi.org/10.1017/9781009029704 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Solan, Eilon 1968- A course in Stochastic game theory Game theory Algebra (DE-588)4001156-2 gnd Spieltheorie (DE-588)4056243-8 gnd Stochastik (DE-588)4121729-9 gnd |
| subject_GND | (DE-588)4001156-2 (DE-588)4056243-8 (DE-588)4121729-9 |
| title | A course in Stochastic game theory |
| title_auth | A course in Stochastic game theory |
| title_exact_search | A course in Stochastic game theory |
| title_full | A course in Stochastic game theory Eilon Solan |
| title_fullStr | A course in Stochastic game theory Eilon Solan |
| title_full_unstemmed | A course in Stochastic game theory Eilon Solan |
| title_short | A course in Stochastic game theory |
| title_sort | a course in stochastic game theory |
| topic | Game theory Algebra (DE-588)4001156-2 gnd Spieltheorie (DE-588)4056243-8 gnd Stochastik (DE-588)4121729-9 gnd |
| topic_facet | Game theory Algebra Spieltheorie Stochastik |
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