Books in Mathematical economics and game theory

Variational Methods in Economics

1st Edition
Volume 1
July 22, 2014
G. Hadley + 1 more
C. J. Bliss
English
eBook
9 7 8 1 4 8 3 2 7 5 2 8 4

Advanced Textbooks in Economics, Volume 1: Variational Methods in Economics focuses on the application of variational methods in economics, including autonomous system, dynamic programming, and phase spaces and diagrams. The manuscript first elaborates on growth models in economics and calculus of variations. Discussions focus on connection with dynamic programming, variable end points-free boundaries, transversality at infinity, sensitivity analysis-end point changes, Weierstrass and Legendre necessary conditions, and phase diagrams and phase spaces. The text then ponders on the constraints of classical theory, including unbounded intervals of integration, free boundary conditions, comparison functions, normality, and the problem of Bolza. The publication explains two-sector models of optimal economic growth, optimal control theory, and connections with the classical theory. Topics include capital good immobile between industries, constrained state variables, linear control problems, conversion of a control problem into a problem of Lagrange, and the conversion of a nonautonomous system into an autonomous system. The book is a valuable source of information for economists and researchers interested in the variational methods in economics.

Capital Theory and the Distribution of Income

1st Edition
Volume 4
July 22, 2014
C. J. Bliss
C. J. Bliss
English
eBook
9 7 8 1 4 8 3 2 7 5 2 7 7

Advanced Textbooks in Economics, Volume 4: Capital Theory and the Distribution of Income focuses on the interconnection of capital theory and the distribution of income, including marginal products, capital, interest rates, and price systems. The book first takes a look at production without capital, equilibrium, prices, and time, and semi-stationary growth, as well as the existence of constant-rate-of-int... price systems. The manuscript then discusses marginal products and capital and the Cambridge model. The text examines the aggregation of miscellaneous objects, production function, linear production model, and efficiency, production prices, and rates of return, as well as prices and efficiency for infinite developments. The manuscript also ponders on investment, structure of interest rates, and disputations. Discussions focus on sets and convex sets, concave functions, and linear and non-linear programming. The publication is a dependable source of data for economists and researchers interested in capital theory and the distribution of income.

Foundations of Econometrics

1st Edition
Volume 7
July 22, 2014
Albert Madansky
C. J. Bliss + 1 more
English
eBook
9 7 8 1 4 8 3 2 7 5 2 5 3

Advanced Textbooks in Economics, Volume 7: Foundations of Econometrics focuses on the principles, processes, methodologies, and approaches involved in the study of econometrics. The publication examines matrix theory and multivariate statistical analysis. Discussions focus on the maximum likelihood estimation of multivariate normal distribution parameters, point estimation theory, multivariate normal distribution, multivariate probability distributions, Euclidean spaces and linear transformations, orthogonal transformations and symmetric matrices, and determinants. The manuscript then ponders on linear expected value models and simultaneous equation estimation. Topics include random exogenous variables, maximum likelihood estimation of a single equation, identification of a single equation, linear stochastic difference equations, and errors-in-variables models. The book takes a look at a prolegomenon to econometric model building, tests of hypotheses in econometric models, multivariate statistical analysis, and simultaneous equation estimation. Concerns include maximum likelihood estimation of a single equation, tests of linear hypotheses, testing for independence, and causality in economic models. The publication is a valuable source of data for economists and researchers interested in the foundations of econometrics.

Pursuit-Evasion Differential Games

1st Edition
Volume 14
June 28, 2014
Y. Yavin + 1 more
English
eBook
9 7 8 1 4 8 3 2 9 5 9 3 0

Twenty papers are devoted to the treatment of a wide spectrum of problems in the theory and applications of dynamic games with the emphasis on pursuit-evasion differential games. The problem of capturability is thoroughly investigated, also the problem of noise-corrupted (state) measurements. Attention is given to aerial combat problems and their attendant modelling issues, such as variable speed of the combatants, the three-dimensionality of physical space, and the combat problem, i.e. problems related to 'role determination'.

System-Theoretic Methods in Economic Modelling II

1st Edition
Volume 22
June 28, 2014
S. Mittnik
English
eBook
9 7 8 1 4 8 3 2 9 6 2 3 4

System-Theoretic Methods in Economic Modelling II complements the editor's earlier volume, bringing together current research efforts integrating system-theoretic concepts with economic modelling processes. The range of papers presented here goes beyond the long-accepted control-theoretic contributions in dynamic optimization and focuses on system-theoretic methods in the construction as well as the application stages of economic modelling. This volume initiates new and intensifies existing debate between researchers and practitioners within and across the disciplines involved, with the objective of encouraging interdisciplinary research. The papers are split into four sections - estimation, filtering and smoothing problems in the context of state space modelling; applying the state space concept to financial modelling; modelling rational expectation; and a miscellaneous section including a follow-up case study by Tse and Khilnani on their integrated system model for a fishery management process, which featured in the first volume.

Economic Analysis in Historical Perspective

1st Edition
May 20, 2014
J. Creedy + 1 more
English
eBook
9 7 8 1 4 8 3 1 6 3 5 9 8

Economic Analysis in Historical Perspective offers a wide discussion on economics and its history. One of the book’s main principles is to place the several major areas of economic analysis in historical perspective. The book’s first topic is about monetary economics; it includes subtopics such as concepts of money, supply and demand of money, monetary control, and rate of interest. The next chapter highlights the economics of welfare, including its nature, modern issues, classical paradigm, and advancements. In Chapter 4, the main topics are public finance, taxes, and the government’s role in all of it. This chapter also elaborates on public expenditure, taxation, and income redistribution. In the last remaining chapters, the discussion circles around the topic’s relevant theories, metrics, and statistics. The text serves as a valuable reference to undergraduates or postgraduates of economics.

The Theory of Gambling and Statistical Logic

2nd Edition
December 28, 2012
Richard A. Epstein
English
eBook
9 7 8 0 1 2 3 9 7 8 7 0 7

Early in his rise to enlightenment, man invented a concept that has since been variously viewed as a vice, a crime, a business, a pleasure, a type of magic, a disease, a folly, a weakness, a form of sexual substitution, an expression of the human instinct. He invented gambling. Recent advances in the field, particularly Parrondo's paradox, have triggered a surge of interest in the statistical and mathematical theory behind gambling. This interest was acknowledge in the motion picture, "21," inspired by the true story of the MIT students who mastered the art of card counting to reap millions from the Vegas casinos. Richard Epstein's classic book on gambling and its mathematical analysis covers the full range of games from penny matching to blackjack, from Tic-Tac-Toe to the stock market (including Edward Thorp's warrant-hedging analysis). He even considers whether statistical inference can shed light on the study of paranormal phenomena. Epstein is witty and insightful, a pleasure to dip into and read and rewarding to study. The book is written at a fairly sophisticated mathematical level; this is not "Gambling for Dummies" or "How To Beat The Odds Without Really Trying." A background in upper-level undergraduate mathematics is helpful for understanding this work.

Essential Statistics, Regression, and Econometrics

1st Edition
May 21, 2011
Gary Smith
English
eBook
9 7 8 0 1 2 3 8 2 2 2 2 2

Essential Statistics, Regression, and Econometrics provides students with a readable, deep understanding of the key statistical topics they need to understand in an econometrics course. It is innovative in its focus, including real data, pitfalls in data analysis, and modeling issues (including functional forms, causality, and instrumental variables). This book is unusually readable and non-intimidating, with extensive word problems that emphasize intuition and understanding. Exercises range from easy to challenging and the examples are substantial and real, to help the students remember the technique better.

The Theory of Gambling and Statistical Logic

2nd Edition
September 21, 2009
Richard A. Epstein
English
eBook
9 7 8 0 0 8 0 9 5 8 6 1 3

Principles of Financial Engineering

2nd Edition
December 1, 2008
Salih N. Neftci
English
eBook
9 7 8 0 0 8 0 9 1 9 9 7 3

Principles of Financial Engineering, Second Edition, is a highly acclaimed text on the fast-paced and complex subject of financial engineering. This updated edition describes the "engineering" elements of financial engineering instead of the mathematics underlying it. It shows you how to use financial tools to accomplish a goal rather than describing the tools themselves. It lays emphasis on the engineering aspects of derivatives (how to create them) rather than their pricing (how they act) in relation to other instruments, the financial markets, and financial market practices. This volume explains ways to create financial tools and how the tools work together to achieve specific goals. Applications are illustrated using real-world examples. It presents three new chapters on financial engineering in topics ranging from commodity markets to financial engineering applications in hedge fund strategies, correlation swaps, structural models of default, capital structure arbitrage, contingent convertibles, and how to incorporate counterparty risk into derivatives pricing. Poised midway between intuition, actual events, and financial mathematics, this book can be used to solve problems in risk management, taxation, regulation, and above all, pricing. This latest edition of Principles of Financial Engineering is ideal for financial engineers, quantitative analysts in banks and investment houses, and other financial industry professionals. It is also highly recommended to graduate students in financial engineering and financial mathematics programs.

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Books in Mathematical economics and game theory

Variational Methods in Economics

Capital Theory and the Distribution of Income

Foundations of Econometrics

Pursuit-Evasion Differential Games

System-Theoretic Methods in Economic Modelling II

Economic Analysis in Historical Perspective

The Theory of Gambling and Statistical Logic

Essential Statistics, Regression, and Econometrics

The Theory of Gambling and Statistical Logic

Principles of Financial Engineering