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  • Economic Dynamics, second edition

    Theory and Computation

    The second edition of a rigorous and example-driven introduction to topics in economic dynamics that emphasizes techniques for modeling dynamic systems.This text provides an introduction to the modern theory of economic dynamics, with emphasis on mathematical and computational techniques for modeling dynamic systems. Written to be both rigorous and engaging, the book shows how sound understanding ... Leer más

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  • Economic Networks

    Theory and Computation

    Series Libro 53 - Structural Analysis in the Social Sciences
    It has become increasingly clear that economies can fruitfully be viewed as networks, consisting of millions of nodes (households, firms, banks, etc.) connected by business, social, and legal relationships. These relationships shape many outcomes that economists often measure. Over the past few years, research on production networks has flourished, as economists try to understand supply-side ... Leer más

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  • Mathematical Methods and Models for Economists

    This book is intended as a textbook for a first-year PhD course in mathematics for economists and as a reference for graduate students in economics. It provides a self-contained, rigorous treatment of most of the concepts and techniques required to follow the standard first-year theory sequence in micro and macroeconomics. The topics covered include an introduction to analysis in metric spaces, ... Leer más

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  • A First Course in Optimization Theory

    This book, first published in 1996, introduces students to optimization theory and its use in economics and allied disciplines. The first of its three parts examines the existence of solutions to optimization problems in Rn, and how these solutions may be identified. The second part explores how solutions to optimization problems change with changes in the underlying parameters, and the last part ... Leer más

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  • Optimization

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    Series series Princeton Series in Applied Mathematics
    This self-contained textbook is an informal introduction to optimization through the use of numerous illustrations and applications. The focus is on analytically solving optimization problems with a finite number of continuous variables. In addition, the authors provide introductions to classical and modern numerical methods of optimization and to dynamic optimization.The book's overarching point ... Leer más

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  • Probability Theory: A Complete One-semester Course

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  • Advanced Mathematical Economics

    Series series Routledge Advanced Texts in Economics and Finance
    This concise textbook presents students with all they need for advancing in mathematical economics. Detailed yet student-friendly, Vohra's book contains chapters in, amongst others:* Feasibility* Convex Sets* Linear and Non-linear Programming* Lattices and Supermodularity.Higher level undergraduates as well as postgraduate students in mathematical economics will find this book extremely useful in ... Leer más

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  • Optimization Theory: A Concise Introduction

    de Jiongmin Yong ...
    Mathematically, most of the interesting optimization problems can be formulated to optimize some objective function, subject to some equality and/or inequality constraints. This book introduces some classical and basic results of optimization theory, including nonlinear programming with Lagrange multiplier method, the Karush-Kuhn-Tucker method, Fritz John's method, problems with convex or quasi ... Leer más

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  • Probabilistic Theory of Mean Field Games with Applications I

    Mean Field FBSDEs, Control, and Games

    Series series Mathematics and Statistics (R0)
    This two-volume book offers a comprehensive treatment of the probabilistic approach to mean field game models and their applications. The book is self-contained in nature and includes original material and applications with explicit examples throughout, including numerical solutions.Volume I of the book is entirely devoted to the theory of mean field games without a common noise. The first half of ... Leer más

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  • Stochastic Processes

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    Series series Chapman & Hall/CRC Texts in Statistical Science
    Based on a well-established and popular course taught by the authors over many years, Stochastic Processes: An Introduction, Third Edition, discusses the modelling and analysis of random experiments, where processes evolve over time. The text begins with a review of relevant fundamental probability. It then covers gambling problems, random walks, and Markov chains. The authors go on to discuss ... Leer más

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  • Microeconomic Foundations I

    Choice and Competitive Markets

    A guide to mastering microeconomic theoryMicroeconomic Foundations I develops the choice, price, and general equilibrium theory topics typically found in first-year theory sequences, but in deeper and more complete mathematical form than most standard texts provide. The objective is to take the reader from acquaintance with these foundational topics to something closer to mastery of the models and ... Leer más

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  • Elements of Information Theory

    The latest edition of this classic is updated with new problem sets and materialThe Second Edition of this fundamental textbook maintains the book's tradition of clear, thought-provoking instruction. Readers are provided once again with an instructive mix of mathematics, physics, statistics, and information theory.All the essential topics in information theory are covered in detail, including ... Leer más

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