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Zero-Sum Discrete-Time Markov Games with Unknown Disturbance Distribution - Discounted and Average Criteria (Paperback, 1st ed. 2020) Loot Price: R1,521
Discovery Miles 15 210
Zero-Sum Discrete-Time Markov Games with Unknown Disturbance Distribution - Discounted and Average Criteria (Paperback, 1st ed....

Zero-Sum Discrete-Time Markov Games with Unknown Disturbance Distribution - Discounted and Average Criteria (Paperback, 1st ed. 2020)

J. Adolfo Minjarez-Sosa

Series: SpringerBriefs in Probability and Mathematical Statistics

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Loot Price R1,521 Discovery Miles 15 210 | Repayment Terms: R143 pm x 12*

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This SpringerBrief deals with a class of discrete-time zero-sum Markov games with Borel state and action spaces, and possibly unbounded payoffs, under discounted and average criteria, whose state process evolves according to a stochastic difference equation. The corresponding disturbance process is an observable sequence of independent and identically distributed random variables with unknown distribution for both players. Unlike the standard case, the game is played over an infinite horizon evolving as follows. At each stage, once the players have observed the state of the game, and before choosing the actions, players 1 and 2 implement a statistical estimation process to obtain estimates of the unknown distribution. Then, independently, the players adapt their decisions to such estimators to select their actions and construct their strategies. This book presents a systematic analysis on recent developments in this kind of games. Specifically, the theoretical foundations on the procedures combining statistical estimation and control techniques for the construction of strategies of the players are introduced, with illustrative examples. In this sense, the book is an essential reference for theoretical and applied researchers in the fields of stochastic control and game theory, and their applications.

General

Imprint: Springer Nature Switzerland AG
Country of origin: Switzerland
Series: SpringerBriefs in Probability and Mathematical Statistics
Release date: 2020
First published: 2020
Authors: J. Adolfo Minjarez-Sosa
Dimensions: 235 x 155mm (L x W)
Format: Paperback
Pages: 120
Edition: 1st ed. 2020
ISBN-13: 978-3-03-035719-1
Categories: Books > Science & Mathematics > Mathematics > Probability & statistics
Books > Science & Mathematics > Mathematics > Applied mathematics > Stochastics
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LSN: 3-03-035719-8
Barcode: 9783030357191

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