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001-es BibID:bibKLT00005418
Első szerző:Aczél János (matematikus)
Cím:Consistent aggregation of scale families of selection probabilities / János Aczél, Gyula Maksa, A.A.J. Marley, Zenon Moszner
Dátum:1997
ISSN:0165-4896
Megjegyzések:There are many situations where an individual or group of individuals has to select the best option or options from some available set of options according to various criteria. Such choices or decisions are often probabilistic. It is also frequently necessary to combine or aggregate the selection data obtained in different contexts or from different individuals. We suppose that the selection probabilities are functions of the (ratio) scale values of the options. On one hand the aggregated (?overall") selection probability of each option should be a function of all componentwise (?individual") selection probabilities of all options; on the other hand it should be a function of the aggregated scale values. Using functional equation techniques, we derive from these suppositions, under quite weak technical conditions, that the scale values are aggregated by products of powers, in particular by weighted geometric means, and both the individual and the overall selection probabilities are relatively simple functions of the scale values of the options. Finally, as a special case, we characterize Luce's choice model.
Tárgyszavak:Természettudományok Matematika- és számítástudományok idegen nyelvű folyóiratközlemény külföldi lapban
choice (selection) models
aggregation
probabilistic (stochastic) choice
functional equations
Megjelenés:Mathematical Social Sciences. - 33 : 1 (1997), p. 227-250. -
További szerzők:Maksa Gyula (1948-) (matematikus) Marley, A.A.J. Moszner, Zenon
Internet cím:Intézményi repozitóriumban (DEA) tárolt változat
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