@Article{Chudziak2013,
author = "Chudziak, Jacek and Wójcik, Sebastian",
title = "Periodic solutions in multivariate invariance arguments",
journal = "Opuscula Math.",
year = "2013",
volume = "33",
number = "3",
pages = "455--465",
doi = "http://dx.doi.org/10.7494/OpMath.2013.33.3.455",
url = "http://dx.doi.org/10.7494/OpMath.2013.33.3.455",
abstract = "Inspired by the recent results of A. E. Abbas we determine continuous multivariate utility functions invariant with respect to a wide family of transformations related to the shift transformations.",
keywords = "multivariate utility function, invariance, periodic solution, additive function, exponential function",
issn = "1232-9274"
}