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 A Note on Representation of Preferences written by Margarita Estévez and published by . This book was released on 1993 with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A note on representation of preferences written by Margarita Estevez Toranzo and published by . This book was released on 1993 with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Note on Representation of Preferences written by Margarita Estévez and published by . This book was released on 1993 with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Aggregation and Representation of Preferences written by Andranick S. Tanguiane and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aggregation is the conjunction of information, aimed at its compact represen tation. Any time when the totality of data is described in terms of general ized indicators, conventional counts, typical representatives and characteristic dependences, one directly or indirectly deals with aggregation. It includes revealing the most significant characteristics and distinctive features, quanti tative and qualitative analysis. As a result, the information becomes adaptable for further processing and convenient for human perception. Aggregation is widely used in economics, statistics, management, planning, system analysis, and many other fields. That is why aggregation is so important in data pro cessing. Aggregation of preferences is a particular case of the general problem of ag gregation. It arises in multicriteria decision-making and collective choice, when a set of alternatives has to be ordered with respect to contradicting criteria, or various individual opinions. However, in spite of apparent similarity the problems of multicriteria decision-making and collective choice are somewhat different. Indeed, an improvement in some specifications at the cost of worsen ing others is not the same as the satisfaction of interests of some individuals to the prejudice of the rest. In the former case the reciprocal compensations are considered within a certain entirety; in the latter we infringe upon the rights of independent individuals. Moreover, in multicriteria decision-making one usu ally takes into account objective factors, whereas in collective choice one has to compare subjective opinions which cannot be measured properly.
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 Working with Preferences Less Is More written by Souhila Kaci and published by Springer Science & Business Media. This book was released on 2011-06-20 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Preferences are useful in many real-life problems, guiding human decision making from early childhood up to complex professional and organizational decisions. In artificial intelligence specifically, preferences is a relatively new topic of relevance to nonmonotonic reasoning, multiagent systems, constraint satisfaction, decision making, social choice theory and decision-theoretic planning The first part of this book deals with preference representation, with specific chapters dedicated to representation languages, nonmonotonic logics of preferences, conditional preference networks, positive and negative preferences, and the study of preferences in cognitive psychology. The second part of the book deals with reasoning with preferences, and includes chapters dedicated to preference-based argumentation, preferences database queries, and rank-ordering outcomes and intervals. The author concludes by examining forthcoming research perspectives. This is inherently a multidisciplinary topic and this book will be of interest to computer scientists, economists, operations researchers, mathematicians, logicians, philosophers and psychologists.
Download or read book The Chain of Representation written by Brian F. Crisp and published by Cambridge University Press. This book was released on 2020-03-19 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comparative analysis of why democratic institutions often produce dissonance between citizens' preferences and public policy in separation-of-powers regimes.
Download or read book A Note on Representation of Preference for Flexibility written by Takashi Oginuma and published by . This book was released on 1992 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 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 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 Representing and Reasoning with Qualitative Preferences written by Ganesh Ram Liu and published by Springer Nature. This book was released on 2022-05-31 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a tutorial introduction to modern techniques for representing and reasoning about qualitative preferences with respect to a set of alternatives. The syntax and semantics of several languages for representing preference languages, including CP-nets, TCP-nets, CI-nets, and CP-theories, are reviewed. Some key problems in reasoning about preferences are introduced, including determining whether one alternative is preferred to another, or whether they are equivalent, with respect to a given set of preferences. These tasks can be reduced to model checking in temporal logic. Specifically, an induced preference graph that represents a given set of preferences can be efficiently encoded using a Kripke Structure for Computational Tree Logic (CTL). One can translate preference queries with respect to a set of preferences into an equivalent set of formulae in CTL, such that the CTL formula is satisfied whenever the preference query holds. This allows us to use a model checker to reason about preferences, i.e., answer preference queries, and to obtain a justification as to why a preference query is satisfied (or not) with respect to a set of preferences. This book defines the notions of the equivalence of two sets of preferences, including what it means for one set of preferences to subsume another, and shows how to answer preferential equivalence and subsumption queries using model checking. Furthermore, this book demontrates how to generate alternatives ordered by preference, along with providing ways to deal with inconsistent preference specifications. A description of CRISNER—an open source software implementation of the model checking approach to qualitative preference reasoning in CP-nets, TCP-nets, and CP-theories is included, as well as examples illustrating its use.
Download or read book Principles of Knowledge Representation and Reasoning written by Jon Doyle and published by Morgan Kaufmann. This book was released on 1994 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings of KR '94 comprise 55 papers on topics including deduction an search, description logics, theories of knowledge and belief, nonmonotonic reasoning and belief revision, action and time, planning and decision-making and reasoning about the physical world, and the relations between KR
Download or read book A Representation Theorem for General Revealed Preference written by Mikhail Freer and published by . This book was released on 2016 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt: Following Richter (1966), we provide criteria under which a preference relation implied by a finite set of choice observations has a complete extension that can in turn be represented by a utility function. These criteria rely on a mapping over preference relations, the rational closure, which is a generalization of the transitive closure and is employed to construct the complete extension. We illustrate this approach by revisiting the problem of rationalizing incomplete preferences revealed by a sequence of consumption decisions under different budget sets. Our result relaxes the usual assumptions about the consumption space and the structure of budgets generating the observed choices, and allows for a new interpretation of classical revealed preference axioms.
Download or read book Preference Intensity Representation and Revelation written by Georgios Gerasimou and published by . This book was released on 2017 with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This paper introduces preference intensity functions -an extension of (neo)classical cardinal utility functions- and characterizes by means of three simple standard axioms the class of basic preference intensity orderings over a finite set of general alternatives that can be represented numerically by such a function in an essentially ordinal way. Unlike utility-difference representations on finite sets, the one proposed here imposes neither behaviourally uninterpretable nor precision-demanding axioms on the preference intensity relation, while its novel uniqueness properties are pinned down in a simple way. The observable implications of this model are then analyzed. Considering general datasets that comprise (i) menus of feasible alternatives, (ii) the alternatives chosen at these menus, and (iii) the amounts of a measurable resource (e.g. money, time) that the individual has foregone in order to make these choices, it is first shown that two new testable consistency requirements on such datasets are necessary and sufficient for the latter to be preference-intensity rationalizable. In addition to encompassing standard rationalizability, this notion disciplines the directions that the observed differences in foregone resources can take, and at the same time allows for the decision maker's resource allocation on the same alternative to potentially vary with the menu where it was chosen. The novel concept of cardinal-utility rationalizability emerges as the special case where such resource allocation is menu-invariant."--Abstract from publisher's website.
Download or read book Principles of Knowledge Representation and Reasoning written by A. G. Cohn and published by Morgan Kaufmann. This book was released on 2000 with total page 770 pages. Available in PDF, EPUB and Kindle. Book excerpt:
