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201215s2022 enk o 1 0 eng d |
020 |
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|a9781009029704|q(electronic bk.)
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020 |
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|a9781316516331|q(hardback)
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020 |
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|a9781009014793|q(paperback)
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040 |
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|aUkCbUP|beng|cUkCbUP|dGP
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050 |
00
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|aQA269|b.S65 2022
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082 |
00
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|a519.3|223
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090 |
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|aQA269|b.S684 2022
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100 |
1
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|aSolan, Eilon.
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245 |
12
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|aA course in Stochastic game theory|h[electronic resource] /|cEilon Solan.
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260 |
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|aCambridge :|bCambridge University Press,|c2022.
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300 |
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|aix, 267 p. :|bill., digital ;|c23 cm.
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490 |
1
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|aLondon Mathematical Society student texts ;|v103
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500 |
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|aTitle from publisher's bibliographic system (viewed on 07 Apr 2022).
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520 |
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|aStochastic 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.
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650 |
0
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|aGame theory.
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830 |
0
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|aLondon Mathematical Society student texts ;|v103.
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856 |
40
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|uhttps://doi.org/10.1017/9781009029704
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