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their utility representation
, 2011
"... On the utility representation of asymmetric singlepeaked preferences* ..."
Expected MultiUtility Representations
, 2011
"... This paper axiomatizes expected multiutility representations of incomplete preferences under risk and under uncertainty. The von NeumannMorgenstern expected utility model with incomplete preferences is revisited using a “constructive” approach, as opposed to earlier treatments that use convex anal ..."
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This paper axiomatizes expected multiutility representations of incomplete preferences under risk and under uncertainty. The von NeumannMorgenstern expected utility model with incomplete preferences is revisited using a “constructive” approach, as opposed to earlier treatments that use convex
Utility Representation of an Incomplete Preference Relation
, 2000
"... We consider the problem of representing a (possibly) incomplete preference relation by means of a vectorvalued utility function. Continuous and semicontinuous representation results are reported in the case of preference relations that are, in a sense, not “too incomplete.” These results generalize ..."
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Cited by 64 (6 self)
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We consider the problem of representing a (possibly) incomplete preference relation by means of a vectorvalued utility function. Continuous and semicontinuous representation results are reported in the case of preference relations that are, in a sense, not “too incomplete.” These results
On the MultiUtility Representation of Preference Relations
, 2008
"... We develop the ordinal theory of (semi)continuous multiutility representation for incomplete preference relations. We investigate the cases in which the representing sets of utility functions are either arbitrary or finite, and those cases in which the maps contained in these sets are required to b ..."
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Cited by 10 (1 self)
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We develop the ordinal theory of (semi)continuous multiutility representation for incomplete preference relations. We investigate the cases in which the representing sets of utility functions are either arbitrary or finite, and those cases in which the maps contained in these sets are required
Utility Representation of Lower Separable Preferences
, 2007
"... Topological separability is crucial for the utility representation of a complete preference relation. When preferences are incomplete, this axiom has suitably defined counterparts: upper separability and lower separability (Ok (2002)). We consider the problem of representing an incomplete preference ..."
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Topological separability is crucial for the utility representation of a complete preference relation. When preferences are incomplete, this axiom has suitably defined counterparts: upper separability and lower separability (Ok (2002)). We consider the problem of representing an incomplete
KOOPMANS AND RECURSIVE UTILITY Utility representation:
"... Koopmans initiated an important line of research on recursive preferences that pushed beyond the additive discounted utility framework. References: ..."
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Koopmans initiated an important line of research on recursive preferences that pushed beyond the additive discounted utility framework. References:
Extending Utility Representations of Partial Orders
, 2005
"... The problem is considered as to whether a monotone function defined on a subset P of Euclidean space IR k can be strictly monotonically extended to IR k. It is proved that this is the case if and only if the function is separably increasing. Explicit formulas are given for a class of extensions whic ..."
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which involves an arbitrary function. Similar results are obtained for utility functions that represent strict partial orders on abstract sets X. The special case where P is a Pareto subset of IR k (or of X) is considered.
Individual sense of justice: a utility representation
 Econometrica
, 2002
"... We present an axiomatic model depicting the choice behavior of a selfinterest seeking moral individual over random allocation procedures. Individual preferences are decomposed into a selfinterest component and a component representing the individual’s moral value judgment. Each component has a di ..."
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Cited by 24 (2 self)
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distinct utility representation, and the preference relation depicting the choice behavior is representable by a realvalued function defined on the components utilities. The utility representing the selfinterest component is linear and the utility representing the individual’s moral value judgment
Qualitative process theory
 MIT AI Lab Memo
, 1982
"... Objects move, collide, flow, bend, heat up, cool down, stretch, compress. and boil. These and other things that cause changes in objects over time are intuitively characterized as processes. To understand commonsense physical reasoning and make programs that interact with the physical world as well ..."
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Cited by 899 (92 self)
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motivates a new qualitative representation for quantity in terms of inequalities, called the quantity space. This paper describes the basic concepts of qualitative process theory, several different kinds of reasoning that can be performed with them, and discusses its implications for causal reasoning
Manifold regularization: A geometric framework for learning from labeled and unlabeled examples
 JOURNAL OF MACHINE LEARNING RESEARCH
, 2006
"... We propose a family of learning algorithms based on a new form of regularization that allows us to exploit the geometry of the marginal distribution. We focus on a semisupervised framework that incorporates labeled and unlabeled data in a generalpurpose learner. Some transductive graph learning al ..."
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Cited by 578 (16 self)
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algorithms and standard methods including Support Vector Machines and Regularized Least Squares can be obtained as special cases. We utilize properties of Reproducing Kernel Hilbert spaces to prove new Representer theorems that provide theoretical basis for the algorithms. As a result (in contrast to purely
Results 1  10
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6,621