Multivariate comonotonicity

M. SCARSINI, G. Puccetti

Journal of Multivariate Analysis

January 2010, vol. 101, n°1, pp.291-304

Departments: Economics & Decision Sciences

Keywords: Cyclical monotonicity, Rearrangements, Optimal coupling, Copula, Supermodular function

In this paper we consider several multivariate extensions of comonotonicity. We show that naive extensions do not enjoy some of the main properties of the univariate concept. In order to have these properties, more structures are needed than in the univariate case