Random Dynamical Systems
Theory and Applications
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Random Dynamical Systems by Mukul Majumdar
Book DescriptionThis treatment provides an exposition of discrete time dynamic processes evolving over an infinite horizon. Chapter 1 reviews some mathematical results from the theory of deterministic dynamical systems, with particular emphasis on applications to economics. The theory of irreducible Markov processes, especially Markov chains, is surveyed in Chapter 2. Equilibrium and long run stability of a dynamical system in which the law of motion is subject to random perturbations is the central theme of Chapters 3-5. A unified account of relatively recent results, exploiting splitting and contractions, that have found applications in many contexts is presented in detail. Chapter 6 explains how a random dynamical system may emerge from a class of dynamic programming problems. With examples and exercises, readers are guided from basic theory to the frontier of applied mathematical research.
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Book DetailsISBN: 9780521532723
(228mm x 152mm x 24mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 8-Jan-2007
Country of Publication: United Kingdom
Books By Author Mukul Majumdar
Equilibrium, Welfare and Uncertainty: Beyond Arrow-Debreu, Paperback (November 2013)
Mukul Majumdar explores general equilibrium theory as part of economic theory and looks at topics such as Pareto optimality, Cournot-Nash equilibrium, concepts of uncertainty and mechanism design.
Organization with Incomplete Information, Paperback (October 2008)» View all books by Mukul Majumdar
This collection provides a definitive and accessible account of recent research in the theory of decision-making and organization-design with incomplete information.
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Author Biography - Mukul Majumdar
Rabi Bhattacharya is Professor of Mathematics at the University of Arizona. He has also taught at the University of California at Berkeley and Indiana University. Professor Bhattacharya has held visiting research professorships at the University of Goetttingen, the University of Bielefeld, and the Indian Statistical Institute. He is a recipient of a Guggenheim Fellowship and an Alexander Von Humboldt Forschungspreis. He is a Fellow of the Institute of Mathematical Statistics and has served on the editorial boards of a number of international journals, including the Annals of Probability, Annals of Applied Probability, Journal of Multivariate Analysis, and Statistica Sinica. He has co-authored Normal Approximations and Asymptotic Expansions (with R. Ranga Rao), Stochastic Processes with Applications (with E. C. Waymire), and Asymptotic Statistics (with M. Denker). Mukul Majumdar is H. T. and R. I. Warshow Professor of Economics at Cornell University. He has also taught at Stanford University and the London School of Economics. Professor Majumdar is a Fellow of the Econometric Society and has been a Guggenheim Fellow, a Ford Rotating Research at the University of California, Berkeley, an Erskine Fellow at the University of Canterbury, an Oskar Morgenstern Visiting Professor at New York University, a Lecturer at the College de France and an Overseas Fellow at Churchill College, Cambridge University. Professor Majumdar has served on the editorial boards of many leading journals, including The Review of Economic Studies, Journal of Economic Theory, Journal of Mathematical Economics, and Economic Theory, and edited the collection Organizations with Incomplete Information (Cambridge University Press, 1998).
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