Download or read book Supermodularity and Complementarity written by Donald M. Topkis and published by Princeton University Press. This book was released on 2011-02-11 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: The economics literature is replete with examples of monotone comparative statics; that is, scenarios where optimal decisions or equilibria in a parameterized collection of models vary monotonically with the parameter. Most of these examples are manifestations of complementarity, with a common explicit or implicit theoretical basis in properties of a super-modular function on a lattice. Supermodular functions yield a characterization for complementarity and extend the notion of complementarity to a general setting that is a natural mathematical context for studying complementarity and monotone comparative statics. Concepts and results related to supermodularity and monotone comparative statics constitute a new and important formal step in the long line of economics literature on complementarity. This monograph links complementarity to powerful concepts and results involving supermodular functions on lattices and focuses on analyses and issues related to monotone comparative statics. Don Topkis, who is known for his seminal contributions to this area, here presents a self-contained and up-to-date view of this field, including many new results, to scholars interested in economic theory and its applications as well as to those in related disciplines. The emphasis is on methodology. The book systematically develops a comprehensive, integrated theory pertaining to supermodularity, complementarity, and monotone comparative statics. It then applies that theory in the analysis of many diverse economic models formulated as decision problems, noncooperative games, and cooperative games.

Download or read book Ignorance and Uncertainty written by Olivier Compte and published by Cambridge University Press. This book was released on 2019 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proposes novel methods to incorporate ignorance and uncertainty into economic modeling without complex mathematics.

Download or read book The Analytics of Uncertainty and Information written by Sushil Bikhchandani and published by Cambridge University Press. This book was released on 2013-08-12 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Decision Making Under Risk and Uncertainty written by J. Geweke and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: As desired, the infonnation demand correspondence is single valued at equilibrium prices. Hence no planner is needed to assign infonnation allocations to individuals. Proposition 4. For any given infonnation price system p E . P (F *), almost every a E A demands a unique combined infonnation structure (although traders may be indifferent among partial infonnation sales from different information allocations, etc. ). In particular, the aggregate excess demand correspondence for net combined infonnation trades is a continuous function. Proof Uniqueness fails only if an agent can obtain the same expected utility from two or more net combined infonnation allocations. If this happens, appropriate slight perturbations of personal probability vectors destroy the equality unless the utility functions and wealth allocations were independent across states. Yet, when utilities and wealths don't depend on states in S, no infonnation to distinguish the states is desired, so that the demand for such infonnation structures must equal zero. To show the second claim, recall that if the correspondence is single valued for almost every agent, then its integral is also single valued. Finally, note that an upper hemicontinuous (by Proposition 2) correspondence which is single valued everywhere is, in fact, a continuous function. [] REFERENCES Allen, Beth (1986a). "The Demand for (Differentiated) Infonnation"; Review of Economic Studies. 53. (311-323). Allen, Beth (1986b). "General Equilibrium with Infonnation Sales"; Theory and Decision. 21. (1-33). Allen, Beth (1990). "Infonnation as an Economic Commodity"; American Economic Review. 80. (268-273).

Download or read book Comparative Statics Under Risk Aversion and Prudence written by Suyeol Ryu and published by . This book was released on 2001 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Beliefs Interactions and Preferences written by Mark J. Machina and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beliefs, Interactions and Preferences in Decision Making mixes a selection of papers, presented at the Eighth Foundations and Applications of Utility and Risk Theory (`FUR VIII') conference in Mons, Belgium, together with a few solicited papers from well-known authors in the field. This book addresses some of the questions that have recently emerged in the research on decision-making and risk theory. In particular, authors have modeled more and more as interactions between the individual and the environment or between different individuals the emergence of beliefs as well as the specific type of information treatment traditionally called `rationality'. This book analyzes several cases of such an interaction and derives consequences for the future of decision theory and risk theory. In the last ten years, modeling beliefs has become a specific sub-field of decision making, particularly with respect to low probability events. Rational decision making has also been generalized in order to encompass, in new ways and in more general situations than it used to be fitted to, multiple dimensions in consequences. This book deals with some of the most conspicuous of these advances. It also addresses the difficult question to incorporate several of these recent advances simultaneously into one single decision model. And it offers perspectives about the future trends of modeling such complex decision questions. The volume is organized in three main blocks: The first block is the more `traditional' one. It deals with new extensions of the existing theory, as is always demanded by scientists in the field. A second block handles specific elements in the development of interactions between individuals and their environment, as defined in the most general sense. The last block confronts real-world problems in both financial and non-financial markets and decisions, and tries to show what kind of contributions can be brought to them by the type of research reported on here.

Download or read book Studies in the Economics of Uncertainty written by Thomas B. Fomby and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies in the Economics of Uncertainty presents some new developments in the economics of uncertainty produced by leading scholars in the field. The contributions to this Festschrift in honor of Professor Josef Hadar of Southern Methodist University cover a broad range of topics centered on the principle of Stochastic Dominance. Topics covered range from theoretical and statistical developments on Stochastic Dominance to new applications of the Stochastic Dominance Theory. The intended audience includes researchers interested in recent developments in tools used for decision-making under uncertainty as well as economists currently applying Stochastic Dominance principles to the analysis of the Theory of Firm, International Trade, and the Theory of Finance.

Download or read book Applied Economic Analysis of Information and Risk written by Moriki Hosoe and published by Springer Nature. This book was released on 2020-03-25 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines interesting new topics in applied economics from the perspectives of the economics of information and risk, two fields of economics that address the consequences of asymmetric information, environmental risk and uncertainty for the nature and efficiency of interactions between individuals and organizations. In the economics of information, the essential task is to examine the condition of asymmetric information under which the information gap is exploited. For the economics of risk, it is important to investigate types of behavior including risk aversion, risk sharing, and risk prevention, and to reexamine the classical expected utility approach and the relationships among several types of the changes in risk. Few books have ever analyzed topics in applied economics with regard to information and risk. This book provides a comprehensive collection of applied analyses, while also revisiting certain basic concepts in the economics of information and risk. The book consists of two parts. In Part I, several aspects of applied economics are investigated, including public policy, labor economics, and political economics, from the standpoint of the economics of (asymmetric) information. First, several basic frameworks of the incentive mechanism with regard to transaction-specific investment are assessed, then various tools for market design and organization design are explored. In Part II, mathematical measures of risk and risk aversion are examined in more detail, and readers are introduced to stochastic selection rules governing choice behavior under uncertainty. Several types of change in the random variable for the cumulative distribution function (CDF) and probability distribution function (PDF) are discussed. In closing, the part investigates the comparative static results of these changes in CDF or PDF on the general decision model, incorporating uncertain situations in applied economics.

Download or read book Decision Making Under Risk and Uncertainty written by J. Geweke and published by Springer. This book was released on 2012-10-04 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: As desired, the infonnation demand correspondence is single valued at equilibrium prices. Hence no planner is needed to assign infonnation allocations to individuals. Proposition 4. For any given infonnation price system p E . P (F *), almost every a E A demands a unique combined infonnation structure (although traders may be indifferent among partial infonnation sales from different information allocations, etc. ). In particular, the aggregate excess demand correspondence for net combined infonnation trades is a continuous function. Proof Uniqueness fails only if an agent can obtain the same expected utility from two or more net combined infonnation allocations. If this happens, appropriate slight perturbations of personal probability vectors destroy the equality unless the utility functions and wealth allocations were independent across states. Yet, when utilities and wealths don't depend on states in S, no infonnation to distinguish the states is desired, so that the demand for such infonnation structures must equal zero. To show the second claim, recall that if the correspondence is single valued for almost every agent, then its integral is also single valued. Finally, note that an upper hemicontinuous (by Proposition 2) correspondence which is single valued everywhere is, in fact, a continuous function. [] REFERENCES Allen, Beth (1986a). "The Demand for (Differentiated) Infonnation"; Review of Economic Studies. 53. (311-323). Allen, Beth (1986b). "General Equilibrium with Infonnation Sales"; Theory and Decision. 21. (1-33). Allen, Beth (1990). "Infonnation as an Economic Commodity"; American Economic Review. 80. (268-273).

Download or read book Handbook of Insurance written by Georges Dionne and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 980 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the 1970's, the research agenda in insurance was dominated by optimal insurance coverage, security design, and equilibrium under conditions of imperfect information. The 1980's saw a growth of theoretical developments including non-expected utility, price volatility, retention capacity, the pricing and design of insurance contracts in the presence of multiple risks, and the liability insurance crisis. The empirical study of information problems, financial derivatives, and large losses due to catastrophic events dominated the research agenda in the 1990's. The Handbook of Insurance provides a single reference source on insurance for professors, researchers, graduate students, regulators, consultants, and practitioners, that reviews the research developments in insurance and its related fields that have occurred over the last thirty years. The book starts with the history and foundations of insurance theory and moves on to review asymmetric information, risk management and insurance pricing, and the industrial organization of insurance markets. The book ends with life insurance, pensions, and economic security. Each chapter has been written by a leading authority in insurance, all contributions have been peer reviewed, and each chapter can be read independently of the others.

Download or read book Intermediate Microeconomics written by Patrick M. Emerson and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book New Economics of Risk and Uncertainty written by Moawia Alghalith and published by Nova Publishers. This book was released on 2007 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents an alternative theoretical framework that can serve as the basis for a new age of economic analysis under risk and uncertainty. This work features an endogenous theory that overcomes the major shortcomings of both the expected utility and the rank-dependent models while it possesses the merits of both.

Download or read book Mathematical Methods and Models for Economists written by Angel de la Fuente and published by Cambridge University Press. This book was released on 2000-01-28 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook for a first-year PhD course in mathematics for economists and a reference for graduate students in economics.

Download or read book Economic and Financial Decisions under Risk written by Louis Eeckhoudt and published by Princeton University Press. This book was released on 2011-10-30 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: An understanding of risk and how to deal with it is an essential part of modern economics. Whether liability litigation for pharmaceutical firms or an individual's having insufficient wealth to retire, risk is something that can be recognized, quantified, analyzed, treated--and incorporated into our decision-making processes. This book represents a concise summary of basic multiperiod decision-making under risk. Its detailed coverage of a broad range of topics is ideally suited for use in advanced undergraduate and introductory graduate courses either as a self-contained text, or the introductory chapters combined with a selection of later chapters can represent core reading in courses on macroeconomics, insurance, portfolio choice, or asset pricing. The authors start with the fundamentals of risk measurement and risk aversion. They then apply these concepts to insurance decisions and portfolio choice in a one-period model. After examining these decisions in their one-period setting, they devote most of the book to a multiperiod context, which adds the long-term perspective most risk management analyses require. Each chapter concludes with a discussion of the relevant literature and a set of problems. The book presents a thoroughly accessible introduction to risk, bridging the gap between the traditionally separate economics and finance literatures.

Download or read book Time Ignorance and Uncertainty in Economic Models written by Donald W. Katzner and published by University of Michigan Press. This book was released on 1998 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: Formal economic analysis using Shackle's ideas of historical time and nonprobabilistic uncertainty

Download or read book Generalized Expected Utility Theory written by John Quiggin and published by Springer Science & Business Media. This book was released on 1993 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Economic analysis of choice under uncertainty has been dominated by the expected utility (EU) model, yet the EU model has never been without critics. Psychologists accumulated evidence that individual choices under uncertainty were inconsistent with the predictions of the EU model. Applied work in areas such as finance was dominated by the simpler mean-variance analysis. In the 1980s this skepticism was dispelled as a number of generalizations of EU were proposed, most of which were capable of explaining evidence inconsistent with EU, while preserving transitivity and dominance. Generalized expected utility is now a flourishing subfield of economics, with dozens of competing models and considerable literature exploring their theoretical properties and comparing their empirical performance. But the EU model remains the principal tool for the analysis of choice under uncertainty. There is a view that generalized models are too difficult to handle or incapable of generating sharp results. This creates a need to show that the new models can be used in the kinds of economic analysis for which EU has been used, and that they can yield new and interesting results. This book meets this need by describing one of the most popular generalized models -- the rank-dependent expected utility model (RDEU), also known as anticipated utility, EU with rank-dependent preferences, the dual theory of choice under uncertainty, and simply as rank-dependent utility. As the many names indicate, the model has been approached in many ways by many scientists and for this reason, consideration of a single model sheds light on many of the concerns that have motivated the development of generalized utility models. The popularity of the RDEU model rests on its simplicity and tractability. The standard tools of analysis developed for EU theory may be applied to the RDEU model, but since RDEU admits behavior inconsistent with EU, the field of potential applications is widened. As such, the RDEU model is not as much a competitor to EU as an extension based on less restrictive assumptions.

Download or read book Comparative Statics Under Uncertainty for Decision Models with More Than One Choice Variable written by Gyemyung Choi and published by . This book was released on 1992 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: