Download or read book Continuous Representation of Preferences written by Graciela Chichilnisky and published by . This book was released on 2009 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of constructing a representation of preferences appears when it is needed to assign utility functions to preferences in a well-defined way, since in general many utilities will represent the same preference. In models where the preferences of the agents vary, and the behaviour of the model depends on limiting properties of preferences, it is important that utilities be assigned to preferences so as to vary continuously as preferences change. In this paper we study a utility representation for preferences, and we prove its continuity, using a topology for preferences introduced by Chichilnisky (1977). Such utility representations were constructed under restrictive conditions first by Y. Kannai (1970), W. Hildenbrand (1970), W. Neuefeind (1972) and more recently by K. Mount and S. Reiter (1974, 1975). Our results are related more closely to those of Mount and Reiter (1974 and 1975). Starting from restrictive conditions, these works have attempted to enlarge the class of preferences that could be continuously represented. The class of preferences studied here is much larger than those considered earlier, and it therefore applies to a wider class of problems. Our preferences include ones which are not necessarily convex or monotone, and which may be locally satiated; furthermore, no completeness of the preferences is required. The assumption made in Mount and Reiter (1975) of the existence of an ez-threshold is also not required here. These results are possible due to the properties of the order topology introduced in Chichilnisky (1977). As we shall now discuss, this topology has quite desirable features for the study of preferences, and these make it a natural choice for the problem at hand. The order topology is liner than the Hausdorlf metric, and, as opposed to the Hausdorff metric, it is sensitive to the measure of the graphs of the preferences. This sensitivity is the main property that allows one to prove continuity of the representation, which is based on measure.
Download or read book Representations of Preferences Orderings written by Douglas S. Bridges and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is devoted to a rigorous presentation of results about the representation of preference orderings by real-valued order isomorphisms ("utility functions"). The authors have gathered together, from sources scattered throughout a wide range of the literature of mathematics and economics, the most significant theorems and methods in their field. The book will be a valuable resource for theoretical economists, mathematicians, and all interested in partial orders and their representation. It could also be used as the text for an advanced graduate course in mathematical economics.
Download or read book Continuous Preference Orderings Representable by Utility Functions written by Carlos Hervés-Beloso and published by . This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper surveys the conditions under which it is possible to represent a continuous preference ordering using utility functions. We start with a historical perspective on the notions of utility and preferences, continue by defining the mathematical concepts employed in this literature, and then list several key contributions to the topic of representability. These contributions concern both the preference orderings and the spaces where they are defined. For any continuous preference ordering, we show the need for separability and the sufficiency of connectedness and separability, or second countability, of the space where it is defined. We emphasize the need for separability by showing that in any nonseparable metric space, there are continuous preference orderings without utility representation. However, by reinforcing connectedness, we show that countably boundedness of the preference ordering is a necessary and sufficient condition for the existence of a (continuous) utility representation. Finally, we discuss the special case of strictly monotonic preferences.
Download or read book Mathematical Topics on Representations of Ordered Structures and Utility Theory written by Gianni Bosi and published by Springer Nature. This book was released on 2020-01-23 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an essential review of central theories, current research and applications in the field of numerical representations of ordered structures. It is intended as a tribute to Professor Ghanshyam B. Mehta, one of the leading specialists on the numerical representability of ordered structures, and covers related applications to utility theory, mathematical economics, social choice theory and decision-making. Taken together, the carefully selected contributions provide readers with an authoritative review of this research field, as well as the knowledge they need to apply the theories and methods in their own work.
Download or read book Additive Representations of Preferences written by P.P. Wakker and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Numerical Representation for Lower Quasi continuous Preferences written by Josep E. Peris and published by . This book was released on 1996 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Dilworth Theorems written by Bogart and published by Springer Science & Business Media. This book was released on 2013-11-22 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Economie de L incertain Et de L information written by Jean-Jacques Laffont and published by MIT Press. This book was released on 1989 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Economics of Uncertainty and Information may be used in conjunction with Loffont's Fundamentals of Economics in an advanced course in microeconomics.
Download or read book Social Choice and Welfare written by P.K. Pattanaik and published by Elsevier. This book was released on 2016-04-20 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises papers presented at the Symposium on Collective Choice, by leading experts in this field. It presents recent advances in Social Choice Theory and Welfare Economics. The papers are classified in two broad groups: (1) those dealing with the ethical aspects of the theory of social choice and (2) those concerned with the positive aspects. The papers in the first part are concerned with the Arrow-type aggregation problem or aspects of it and with more specific questions relating to optimality, justice and welfare. In part II several papers discuss the problem of strategic misrevelation of preferences by individuals, others discuss simple voting games, social choice-correspondences and electoral competition. The main features are: - Recent advances in social choice theory and welfare economics - New mathematical approaches to social choice theory (differential and algebraic topology) -New aspects of the concepts of justice and optimality in welfare economics and social choice.
Download or read book Microeconomic Foundations I written by David M. Kreps and published by Princeton University Press. This book was released on 2013 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a rigorous treatment of some of the basic tools of economic modeling and reasoning, along with an assessment of the strengths and weaknesses of these tools.
Download or read book Economic Models of Trade Unions written by P. Garonna and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the 1980s unions have lost about 5 million members in OECD countries. The proportion of unionized workers is increasing in the services, public sector and among women. Today, almost two out of five union members are employed in the public sector. Wide differences remain in the levels of unionization in diverse countries, while in the United States, France and Spain union members account now for little more than 10% of the labour force, in the Nordic countries (Sweden, Finland and Denmark) the corre'sponding figure is between 75 and 85%. In general, rates have been higher in Europe than in North America. Economic analysis is paying increasing attention to these developments and to their policy implications (Edwards, Caronna and Todling, OCDE 1991). Recent progress in economic theory has enabled some light to be cast on the determinants of unionism, on the other hand, efforts aimed at coming to grips with the economic reality of unions have significantly contributed to theoretical advancement by extending and modifying conventional microeconomic wisdom. The reader of this volume will judge whether the insight gained is sufficient, or - as a recent survey concluded ~ the problem has proved to be virtually intractable (Johnson, p. 24). These can be grouped under three headings, corresponding to the three parts of the volume, which will be illustrated in the Introduction.
Download or read book Advances in Mathematical Economics Volume12 written by Shigeo Kusuoka and published by Springer Science & Business Media. This book was released on 2009-03-24 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Mathematical Economics is a publication of the Research Center for Mathematical Economics, which was founded in 1997 as an international scientific association that aims to promote research activities in mathematical economics. Our publication was launched to realize our long-term goal of bringing together those mathematicians who are seriously interested in obtaining new challenging stimuli from economic theories and those economists who are seeking effective mathematical tools for their research. The scope of Advances in Mathematical Economics includes, but is not limited to, the following fields: - economic theories in various fields based on rigorous mathematical reasoning; - mathematical methods (e.g., analysis, algebra, geometry, probability) motivated by economic theories; - mathematical results of potential relevance to economic theory; - historical study of mathematical economics. Authors are asked to develop their original results as fully as possible and also to give a clear-cut expository overview of the problem under discussion. Consequently, we will also invite articles which might be considered too long for publication in journals.
Download or read book Evolution of Non Expected Utility Preferences written by Sven von Widekind and published by Springer Science & Business Media. This book was released on 2008-01-08 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory on the evolution of preferences deals with the endogenous formation of preference relations in strategic situations. It is related to the field of evolutionary game theory. In this book we analyze the role and the influence of general, possibly non-expected utility preferences in such an evolutionary setup. In particular, we demonstrate that preferences which diverge from von Neumann-Morgenstern expected utility may potentially prove to be successful under evolutionary pressures.
Download or read book New Perspectives in Multiple Criteria Decision Making written by Michalis Doumpos and published by Springer. This book was released on 2019-04-02 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides comprehensive coverage of the latest research on multiple criteria research analysis (MCDA) and related areas, gathering a collection of high-quality chapters prepared by leading scholars in the field. By covering the established streams in MCDA research and simultaneously exploring new and emerging areas of application, it offers a unique reference resource for the future development of MCDA. The book approaches MCDA as one of the most active areas in operations research and management science (OR/MS). It presents not only the significant advances achieved to date, but also the new opportunities and challenges arising for both the theory and practice of MCDA. Among many others, the book addresses behavioral and conceptual aspects of decision aiding and decision making, problem structuring issues in the framework of new technological and socio-economic advances, methodological and algorithmic advances for analytical modeling and decision aiding, as well as a number of new application areas in engineering, business, and the social sciences.
Download or read book Utility Maximization Choice and Preference written by Fuad Aleskerov and published by Springer Science & Business Media. This book was released on 2007-08-09 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: The utility maximization paradigm forms the basis of many economic, psychological, cognitive and behavioral models. However, numerous examples have revealed the deficiencies of the concept. This book helps to overcome those deficiencies by taking into account insensitivity of measurement threshold and context of choice. The second edition has been updated to include the most recent developments and a new chapter on classic and new results for infinite sets.
Download or read book From classical political economy to behavioral economics written by Ivan Moscati and published by EGEA spa. This book was released on 2013-01-18T00:00:00+01:00 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book reconstructs some selected threads in the history of economics, from the classical theory of value elaborated by Smith and Ricardo in the late eighteenth and early nineteenth centuries to the behavioral theory of choice put forward by Kahneman and Tversky in the late twentieth century. Part One illustrates the passage from the classical to the marginal theory of value, which latter emerged in the 1870s. Part Two charts the consolidation of marginalism and developments in utility and demand analysis between the 1870s and 1940. Part Three outlines the history of macroeconomics from the monetary and business cycle theories of the early twentieth century to LucasŐs new classical macroeconomics of the 1970s. Part Four is devoted to the post-1940 history of microeconomics, and examines the emergence of game theory, the axiomatization of utility analysis, the history of expected utility theory, and the challenge of behavioral economics to mainstream economics. The book is addressed to students of economics who acknowledge the wisdom of KeynesŐs claim that Ça study of the history of opinion is a necessary preliminary to the emancipation of the mindČ.
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.
