Nonmonotonic Choquet integrals

Waegenaere, Anja De; Wakker, Peter P.

doi:10.1016/s0304-4068(01)00064-7

Cited by 64 publications

(25 citation statements)

References 37 publications

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“…We show in particular that FS is a special case of a nonmonotonic version of Schmeidler (1986) model. This nonmonotonic version was axiomatized in general by De Waegenaere and Wakker (2001). Thus, the latter axiomatization is more general than FS and does not capture the particular balance of FS.…”

Section: Introductionmentioning

confidence: 99%

A preference foundation for Fehr and Schmidt’s model of inequity aversion

Rohde

2009

Soc Choice Welf

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Fehr and Schmidt (FS) introduced an influential social utility function for individuals in interpersonal contexts that captures self-centered inequity aversion. The value of this social utility function lies in its exceptionally good balance between parsimony and fit. This paper provides a preference foundation for exactly the model of FS with preference conditions that exactly capture the exceptionally good balance of FS. Remarkably, FS is a special case of Schmeidler's rank-dependent utility for decision under uncertainty.

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Section: Introductionmentioning

confidence: 99%

A preference foundation for Fehr and Schmidt’s model of inequity aversion

Rohde

2009

Soc Choice Welf

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“…CEU-forms with linear utility are presented in Chateauneuf (1991), de Waegenaere and Wakker (2001), and Diecidue and Wakker (2002).…”

Section: Notationmentioning

confidence: 99%

“…For decision under uncertainty the model of Chateauneuf (1991) provides a Choquet expected utility form with linear utility. A similar model is presented in de Waegenaere and Wakker (2001). A further study by Diecidue and Wakker (2002) provides an axiomatization of linear utility and decision weights in the framework of de Finetti.…”

Section: Introductionmentioning

confidence: 99%

A simple model of cumulative prospect theory

Schmidt

Zank

2009

Journal of Mathematical Economics

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“…Also related are cryptographic problems of fair exchange, arising for instance in contract signing [13,160]. Special problems arise when allocation/sharing involves multi-dimensional outcomes, especially if the outcomes can interact [108,177,176]. Finally, related issues arise when demand for goods to be fairly allocated exceeds supply and we must institute "fair rationing."…”

Section: Allocating/sharing Costs and Revenues 22mentioning

confidence: 99%

Computer science and decision theory

Roberts

2008

Ann Oper Res

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This paper reviews applications in computer science that decision theorists have addressed for years, discusses the requirements posed by these applications that place great strain on decision theory/social science methods, and explores applications in the social and decision sciences of newer decision-theoretic methods developed with computer science applications in mind. The paper deals with the relation between computer science and decision-theoretic methods of consensus, with the relation between computer science and game theory and decisions, and with "algorithmic decision theory."

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Nonmonotonic Choquet integrals

Cited by 64 publications

References 37 publications

A preference foundation for Fehr and Schmidt’s model of inequity aversion

A preference foundation for Fehr and Schmidt’s model of inequity aversion

A simple model of cumulative prospect theory

Computer science and decision theory

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