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.

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  • 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.
Opuscula Mathematica - cover

Cite this article as:
Jacek Chudziak, Sebastian Wójcik, Periodic solutions in multivariate invariance arguments, Opuscula Math. 33, no. 3 (2013), 455-465, http://dx.doi.org/10.7494/OpMath.2013.33.3.455

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