We characterize the valuations on the space of quasi-concave functions defined on the N-dimensional Euclidean space, that are rigid motion invariant and continuous with respect to a suitable topology. Among them we also provide a specific description of those which are additionally monotone.
Valuations on the space of quasi-concave functions / Colesanti, Andrea; Lombardi, Nico. - STAMPA. - (2017), pp. 71-105. [10.1007/978-3-319-45282-1_6]
Valuations on the space of quasi-concave functions
Andrea Colesanti;Nico Lombardi
2017
Abstract
We characterize the valuations on the space of quasi-concave functions defined on the N-dimensional Euclidean space, that are rigid motion invariant and continuous with respect to a suitable topology. Among them we also provide a specific description of those which are additionally monotone.
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