How Long to Read Selected Topics on Continuous-Time Controlled Markov Chains and Markov Games

How Long Does it Take to Read Selected Topics on Continuous-Time Controlled Markov Chains and Markov Games?

It takes the average reader 4 hours and 54 minutes to read Selected Topics on Continuous-Time Controlled Markov Chains and Markov Games by Tomás Prieto-Rumeau

Assuming a reading speed of 250 words per minute. Learn more

Description

This book concerns continuous-time controlled Markov chains, also known as continuous-time Markov decision processes. They form a class of stochastic control problems in which a single decision-maker wishes to optimize a given objective function. This book is also concerned with Markov games, where two decision-makers (or players) try to optimize their own objective function. Both decision-making processes appear in a large number of applications in economics, operations research, engineering, and computer science, among other areas. An extensive, self-contained, up-to-date analysis of basic optimality criteria (such as discounted and average reward), and advanced optimality criteria (e.g., bias, overtaking, sensitive discount, and Blackwell optimality) is presented. A particular emphasis is made on the application of the results herein: algorithmic and computational issues are discussed, and applications to population models and epidemic processes are shown. This book is addressed to students and researchers in the fields of stochastic control and stochastic games. Moreover, it could be of interest also to undergraduate and beginning graduate students because the reader is not supposed to have a high mathematical background: a working knowledge of calculus, linear algebra, probability, and continuous-time Markov chains should suffice to understand the contents of the book. Contents:IntroductionControlled Markov ChainsBasic Optimality CriteriaPolicy Iteration and Approximation TheoremsOvertaking, Bias, and Variance OptimalitySensitive Discount OptimalityBlackwell OptimalityConstrained Controlled Markov ChainsApplicationsZero-Sum Markov GamesBias and Overtaking Equilibria for Markov Games Readership: Graduate students and researchers in the fields of stochastic control and stochastic analysis. Keywords:Markov Decision Processes;Continuous-Time Controlled Markov Chains;Stochastic Dynamic Programming;Stochastic GamesKey Features:This book presents a reader-friendly, extensive, self-contained, and up-to-date analysis of advanced optimality criteria for continuous-time controlled Markov chains and Markov games. Most of the material herein is quite recent (it has been published in high-impact journals during the last five years) and it appears in book form for the first timeThis book introduces approximation theorems which, in particular, allow the reader to obtain numerical approximations of the solution to several control problems of practical interest. To the best of our knowledge, this is the first time that such computational issues are studied for denumerable state continuous-time controlled Markov chains. Hence, the book has an adequate balance between, on the one hand, theoretical results and, on the other hand, applications and computational issuesThe books that analyze continuous-time controlled Markov chains usually restrict themselves to the case of bounded transition and reward rates, which can be reduced to discrete-time models by using the uniformization technique. In our case, however, the transition and the reward rates might be unbounded, and so the uniformization technique cannot be used. By the way, let us mention that in models of practical interest the transition and the reward rates are, typically, unboundedReviews:“The book contains a large number of recent research results on CMCs and Markov games and puts them in perspective. It is written in a very conscious manner, contains detailed proofs of all main results, as well as extensive bibliographic remarks. The book is a very valuable piece of work for researchers on continuous-time CMCs and Markov games.”Zentralblatt MATH

How long is Selected Topics on Continuous-Time Controlled Markov Chains and Markov Games?

Selected Topics on Continuous-Time Controlled Markov Chains and Markov Games by Tomás Prieto-Rumeau is 292 pages long, and a total of 73,584 words.

This makes it 99% the length of the average book. It also has 90% more words than the average book.

How Long Does it Take to Read Selected Topics on Continuous-Time Controlled Markov Chains and Markov Games Aloud?

The average oral reading speed is 183 words per minute. This means it takes 6 hours and 42 minutes to read Selected Topics on Continuous-Time Controlled Markov Chains and Markov Games aloud.

What Reading Level is Selected Topics on Continuous-Time Controlled Markov Chains and Markov Games?

Selected Topics on Continuous-Time Controlled Markov Chains and Markov Games is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Selected Topics on Continuous-Time Controlled Markov Chains and Markov Games?

Selected Topics on Continuous-Time Controlled Markov Chains and Markov Games by Tomás Prieto-Rumeau is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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