This book describes the classical axiomatic theories of decision under uncertainty, as well as critiques thereof and alternative theories. It focuses on the meaning of probability, discussing some definitions and surveying their scope of applicability. The behavioral definition of subjective probability serves as a way to present the classical theories, culminating in Savage's theorem. The limitations of this result as a definition of probability lead to two directions - first, similar behavioral definitions of more general theories, such as non-additive probabilities and multiple priors, and second, cognitive derivations based on case-based techniques.
There has been explosive progress in the economic theory of uncertainty and information in the past few decades. This subject is now taught not only in departments of economics but also in professional schools and programs oriented toward business, government and administration, and public policy. This book attempts to unify the subject matter in a simple, accessible manner. Part I of the book focuses on the economics of uncertainty; Part II examines the economics of information. This revised and updated second edition places a greater focus on game theory. New topics include posted-price markets, mechanism design, common-value auctions, and the one-shot deviation principle for repeated games.
Design with Information Granules of Higher Order and Higher Type
Author: Witold Pedrycz
Publisher: Springer Science & Business Media
Information granules are fundamental conceptual entities facilitating perception of complex phenomena and contributing to the enhancement of human centricity in intelligent systems. The formal frameworks of information granules and information granulation comprise fuzzy sets, interval analysis, probability, rough sets, and shadowed sets, to name only a few representatives. Among current developments of Granular Computing, interesting options concern information granules of higher order and of higher type. The higher order information granularity is concerned with an effective formation of information granules over the space being originally constructed by information granules of lower order. This construct is directly associated with the concept of hierarchy of systems composed of successive processing layers characterized by the increasing levels of abstraction. This idea of layered, hierarchical realization of models of complex systems has gained a significant level of visibility in fuzzy modeling with the well-established concept of hierarchical fuzzy models where one strives to achieve a sound tradeoff between accuracy and a level of detail captured by the model and its level of interpretability. Higher type information granules emerge when the information granules themselves cannot be fully characterized in a purely numerical fashion but instead it becomes convenient to exploit their realization in the form of other types of information granules such as type-2 fuzzy sets, interval-valued fuzzy sets, or probabilistic fuzzy sets. Higher order and higher type of information granules constitute the focus of the studies on Granular Computing presented in this study. The book elaborates on sound methodologies of Granular Computing, algorithmic pursuits and an array of diverse applications and case studies in environmental studies, option price forecasting, and power engineering.
The book describes formal models of reasoning that are aimed at capturing the way that economic agents, and decision makers in general think about their environment and make predictions based on their past experience. The focus is on analogies (case-based reasoning) and general theories (rule-based reasoning), and on the interaction between them, as well as between them and Bayesian reasoning. A unified approach allows one to study the dynamics of inductive reasoning in terms of the mode of reasoning that is used to generate predictions.
Consumer Credit and the American Economy examines the economics, behavioral science, sociology, history, institutions, law, and regulation of consumer credit in the United States. After discussing the origins and various kinds of consumer credit available in today's marketplace, this book reviews at some length the long run growth of consumer credit to explore the widely held belief that somehow consumer credit has risen "too fast for too long." It then turns to demand and supply with chapters discussing neoclassical theories of demand, new behavioral economics, and evidence on production costs and why consumer credit might seem expensive compared to some other kinds of credit like government finance. This discussion includes review of the economics of risk management and funding sources, as well discussion of the economic theory of why some people might be limited in their credit search, the phenomenon of credit rationing. This examination includes review of issues of risk management through mathematical methods of borrower screening known as credit scoring and financial market sources of funding for offerings of consumer credit. The book then discusses technological change in credit granting. It examines how modern automated information systems called credit reporting agencies, or more popularly "credit bureaus," reduce the costs of information acquisition and permit greater credit availability at less cost. This discussion is followed by examination of the logical offspring of technology, the ubiquitous credit card that permits consumers access to both payments and credit services worldwide virtually instantly. After a chapter on institutions that have arisen to supply credit to individuals for whom mainstream credit is often unavailable, including "payday loans" and other small dollar sources of loans, discussion turns to legal structure and the regulation of consumer credit. There are separate chapters on the theories behind the two main thrusts of federal regulation to this point, fairness for all and financial disclosure. Following these chapters, there is another on state regulation that has long focused on marketplace access and pricing. Before a final concluding chapter, another chapter focuses on two noncredit marketplace products that are closely related to credit. The first of them, debt protection including credit insurance and other forms of credit protection, is economically a complement. The second product, consumer leasing, is a substitute for credit use in many situations, especially involving acquisition of automobiles. This chapter is followed by a full review of consumer bankruptcy, what happens in the worst of cases when consumers find themselves unable to repay their loans. Because of the importance of consumer credit in consumers' financial affairs, the intended audience includes anyone interested in these issues, not only specialists who spend much of their time focused on them. For this reason, the authors have carefully avoided academic jargon and the mathematics that is the modern language of economics. It also examines the psychological, sociological, historical, and especially legal traditions that go into fully understanding what has led to the demand for consumer credit and to what the markets and institutions that provide these products have become today.