We correct the generalized version of the decomposition of multivariate inequality indices by attributes proposed by Abul Naga and Geoffard (Abul Naga, R. H. and Geoffard, P. Y., 2006. Decomposition of bivariate inequality indices by attributes. Economic Letters 90, pp. 362-367).

In this paper we present a result on the existence of pure strategies Nash equilibrium which covers a large class of games with local and global social interactions. The result highlights common features of well-known games analyzed in the literature.

We provide conditions under which a Condorcet winner exists when voters are exogenously distributed in groups, with preferences satisfying the single-crossing property separately inside each group. We also show that the majority voting social preference is acyclic.