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Dynamics with Inequalities
This book addresses dynamics with inequalities comprehensively. The author develops the theory and application of dynamical systems that incorporate some kind of hard inequality constraint, such as mechanical systems with impact; electrical circuits with diodes (as diodes permit current flow in only one direction); and social and economic systems that involve natural or imposed limits (such as traffic flow, which can never be negative, or inventory, which must be stored within a given facility). This book demonstrates that hard limits - eschewed in most dynamical models - are natural models for many dynamic phenomena, and there are ways of creating differential equations with hard constraints that provide accurate models of many physical, biological, and economic systems. The author discusses how finite- and infinite-dimensional problems are treated in a unified way so the theory is applicable to both ordinary differential equations and partial differential equations.
The Cooperative Nature of the Firm
A study of price and the organization of firms using game theory and neoclassical economics.
The Nobel Memorial Laureates in Economics
. . . this book will continue to share shelf-space next to my current textbooks. As a librarian, such utility makes this a desirable addition to any educator s collection. As a history of economic thought book, Vane and Mulhearn have brought together a breadth of information that can be found through disparate sources but at a cost of effort and, especially for students, qualitative decisions regarding sources. . . The convenience of their starting methodology, breadth over depth coverage, and clear intention of writing to an audience of students makes this a useful text. Kirk Douglas Johnson, Journal of the History of Economic Thought The essays summarizing the main achievements of the priz...
A Fixed-Point Farrago
This text provides an introduction to some of the best-known fixed-point theorems, with an emphasis on their interactions with topics in analysis. The level of exposition increases gradually throughout the book, building from a basic requirement of undergraduate proficiency to graduate-level sophistication. Appendices provide an introduction to (or refresher on) some of the prerequisite material and exercises are integrated into the text, contributing to the volume’s ability to be used as a self-contained text. Readers will find the presentation especially useful for independent study or as a supplement to a graduate course in fixed-point theory. The material is split into four parts: the first introduces the Banach Contraction-Mapping Principle and the Brouwer Fixed-Point Theorem, along with a selection of interesting applications; the second focuses on Brouwer’s theorem and its application to John Nash’s work; the third applies Brouwer’s theorem to spaces of infinite dimension; and the fourth rests on the work of Markov, Kakutani, and Ryll–Nardzewski surrounding fixed points for families of affine maps.
Merton Miller
Who is Merton Miller An American economist by the name of Merton Howard Miller, he was a co-author of the Modigliani-Miller theorem (1958), which suggested that the debt-equity structure was irrelevant. William F. Sharpe and Harry Markowitz were the other two recipients of the Nobel Memorial Prize in Economic Sciences in 1990. He was one of the three recipients. Miller attended the Booth School of Business at the University of Chicago for the most of his time spent in the academic world. How you will benefit (I) Insights about the following: Chapter 1: Merton Miller Chapter 2: William Vickrey Chapter 3: Financial economics Chapter 4: Franco Modigliani Chapter 5: Robert C. Merton Chapter 6: M...
Handbook of Global Optimization
Global optimization is concerned with the computation and characterization of global optima of nonlinear functions. During the past three decades the field of global optimization has been growing at a rapid pace, and the number of publications on all aspects of global optimization has been increasing steadily. Many applications, as well as new theoretical, algorithmic, and computational contributions have resulted. The Handbook of Global Optimization is the first comprehensive book to cover recent developments in global optimization. Each contribution in the Handbook is essentially expository in nature, but scholarly in its treatment. The chapters cover optimality conditions, complexity results, concave minimization, DC programming, general quadratic programming, nonlinear complementarity, minimax problems, multiplicative programming, Lipschitz optimization, fractional programming, network problems, trajectory methods, homotopy methods, interval methods, and stochastic approaches. The Handbook of Global Optimization is addressed to researchers in mathematical programming, as well as all scientists who use optimization methods to model and solve problems.
