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Utility Functions

North American Actuarial Journal, 1998
This article is a self-contained survey of utility functions and some of their applications. Throughout the paper the theory is illustrated by three examples: exponential utility functions, power utility functions of the first kind (such as quadratic utility functions), and power utility functions of the second kind (such as the logarithmic utility ...
Hans U. Gerber, Gérard Pafum
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Money-Metric Utility Functions

International Economic Review, 1985
The paper considers a function \(M_ p(x)\) that specifies the minimum income needed at prices p to obtain a consumption vector preferred to x. This function is called a money metric. Sufficient conditions on the consumption set, on the preference relation, and on the prices are given ensuring that the money metric is a well-defined and continuous ...
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Double-Exponential Utility Functions

Mathematics of Operations Research, 1986
Ordinal additivity between two attributes X and Y is a property that permits the utility function u(x, y) to be represented as ϕ(v(x) + w(y)) for some functions ϕ, v and w where ϕ may be thought of as a single attribute utility function over v + w. In applications ϕ is usually taken to be either linear (the additive decomposition) or exponential (the ...
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The S-Shaped Utility Function

Synthese, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Utility as an Additive Set Function

Mathematics of Operations Research, 1992
Foundations for additive models of subset evaluation are stated by axioms for a preference relation on a family S of subsets of X that cover X. The axiomatizations include cases in which S is arbitrary, S contains only finite subsets of X, and S is the set of all subsets of X. Expected utility with subsets as outcomes is also considered.
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Calibration of Utility Function

2013
Utility theory belongs to a very interesting part of a modern decision making theory. We develop the basic concept of utility theory on a determination of a personal utility function which was founded empirically by short personal interview. We suggest a calibration of theoretical utility function by expected utility maximization criterion.
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Elicitation and utilization of application-level utility functions

Proceedings of the 6th international conference on Autonomic computing, 2009
We present a non-analytic approach to self-assessment for Autonomic Computing. Our approach leverages utility functions, at the level of an autonomic application, or even a single task or feature being exercised within that application. This paper describes the fundamental steps of our approach: instrumentation of the application; collection of ...
Paul deGrandis, Giuseppe Valetto
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Utility Function

2014
A utility function is a tool used to assign numerical values to a set of goods or services in order to allow for a numerical representation of the preferences of a rational individual. Though its first use dates back to the 18th century, the term “utility” does not appear until the late 19th century in Welfare Economics, and it is fully axiomatised ...
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On utility functions

Theory and Decision, 1974
The von Neumann-Morgenstern (vNM) expected utility criterion is a particular case of a more general utility space structure. The general utility function can take care of the intrinsic utility or disutility of risk. An approximation to this general utility function is the proposed Constant Elasticities of Value and Risk (CEVR) function, which is easily
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Utility and Functionings

2007
Utilitarian economists use the term ‘utility’ carefully, but as was mentioned above there are two distinct views of it: the ‘satisfaction/happiness’ view and the ‘desire-fulfilment’ view. The happiness approach goes back to Bentham and has been used extensively by Marshall (1890), Pigou (1920) and others.
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