Opuscula Math. 33, no. 3 (2013), 455-465
http://dx.doi.org/10.7494/OpMath.2013.33.3.455
Opuscula Mathematica
Periodic solutions in multivariate invariance arguments
Jacek Chudziak
Sebastian Wójcik
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.
Mathematics Subject Classification: 39B22, 91B16.
- Jacek Chudziak
- University of Rzeszów, Department of Mathematics, Rejtana 16 C, 35-959 Rzeszów, Poland
- Sebastian Wójcik
- University of Rzeszów, Department of Mathematics, Rejtana 16 C, 35-959 Rzeszów, Poland
- Received: 2012-10-10.
- Revised: 2013-01-14.
- Accepted: 2013-02-01.
