This book is intended as a text covering the central concepts and techniques of Competitive Markov Decision Processes. It is an attempt to present a rig orous treatment that combines two significant research topics: Stochastic Games and Markov Decision Processes, which have been studied exten sively, and at times quite independently, by mathematicians, operations researchers, engineers, and economists. Since Markov decision processes can be viewed as a special noncompeti tive case of stochastic games, we introduce the new terminology Competi tive Markov Decision Processes that emphasizes the importance of the link between these two topics and of the properties of the underlying Markov processes. The book is designed to be used either in a classroom or for self-study by a mathematically mature reader. In the Introduction (Chapter 1) we outline a number of advanced undergraduate and graduate courses for which this book could usefully serve as a text. A characteristic feature of competitive Markov decision processes - and one that inspired our long-standing interest - is that they can serve as an "orchestra" containing the "instruments" of much of modern applied (and at times even pure) mathematics. They constitute a topic where the instruments of linear algebra, applied probability, mathematical program ming, analysis, and even algebraic geometry can be "played" sometimes solo and sometimes in harmony to produce either beautifully simple or equally beautiful, but baroque, melodies, that is, theorems.
An Introduction to Mining Seismology describes comprehensively the modern methods and techniques used to monitor and study seismicity and rockbursts in mines. Key case histories from various worldwide mining districts clearly illustrate and skillfully emphasize the practical aspects of mining seismology. This text is intended as a handbook for geophysicists and mining and rock mechanics engineers working at mines. It will also serve as an essential reference tool for seismologists working at research institutions on local seismicity not necessarily induced by mining. - Presents a comprehensive description of seismicity induced by mining worldwide - Provides information on optimum network planning and seismic event location procedures in deep mines - Covers a broad array of topics including focal mechanism, moment tensor, and double-couple versus non-double-couple seismic events in mines - Includes data on source parameters and scaling relations for seismic events in mines
A blend of methodological and applied contributions on computational chemistry. It explores research results and the topographical features of several molecular scalar fields. A discussion of topographical concepts is followed by examples of their application to several branches of chemistry.
The present volume represents the Proceedings of an International Research Seminar organized in 1963 by the Statistical Laboratory, Uni versity of California, Berkeley, on the occasion of a remarkable triple anniversary: the 250th anniversary of jACOB BERNOULLI's "Ars Conjectandi", the 200th anniversary of THOMAS BAYES' "Essay towards solving a problem in doctrine of chance", and the!50th anniversary of the PIERRE-SIMON DE LAPLACE's "Essai philosophique sur les probabilites". Financial assistance of the National Science Foundation, without which the Seminar could not have been held, is gratefully acknowledged. The publication of Ars Conjectandi, in 1713, was a milestone in the history of probability theory. Here, for the first time, appeared a careful description of the now well-known combinatorial methods which give solutions of many problems on simple games of chance. Also, Ars Conjectandi contains the Bernoulli numbers, theorems relating to the duration of games, and to the ruin of gamblers and, above all, the state ment and proof of the famous Bernoulli weak law of large numbers. Even though the original Latin edition of Ars Conjectandi was followed by several in modern languages, currently the book is not easily accessible. Apparently the last re-publication, in German, occurred in 1899, in two issues, No. 107 and No. 108, of the series "Ostwald's Klassi ker der exakten Wissenschaften", Wilhelm Engelman, Leipzig. The two books are difficult to locate
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