Periodic solutions in multivariate invariance arguments

• Autorzy: Chudziak J. , Wójcik S.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

multivariate utility function; invariance; periodic solution; additive function; exponential function

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2013
• Tom: Vol. 33, no. 3
• Strony: 455--465
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Chudziak J.

• University of Rzeszów Department of Mathematics Rejtana 16 C, 35-959 Rzeszów, Poland

autor

Wójcik S.

• University of Rzeszów Department of Mathematics Rejtana 16 C, 35-959 Rzeszów, Poland

Bibliografia

• [1] A.E. Abbas, Invariant utility functions and certain equivalent transformations, Decision Analysis 4 (2007), 17–31.
• [2] A.E. Abbas, Invariant multiattribute utility functions, Theory and Decision 68 (2010), 69–99.
• [3] A.E. Abbas, J. Aczél, The role of some functional equations in decision analysis, Decision Analysis 7 (2010), 215–228.
• [4] A.E. Abbas, J. Aczél, J. Chudziak, Invariance of multiattribute utility functions under shift transformations, Result. Math. 54 (2009), 1–13.
• [5] J. Chudziak, On a class of multiattribute utility functions invariant under shift transformations,Acta Phys. Polon. A 117 (2010), 673–675.
• [6] J. Chudziak, J. Tabor, Generalized Pexider equation on a restricted domain, J. Math.Psych. 52 (2008), 389–392.
• [7] M. Kuczma, An Introduction to the Theory of Functional Equations and Inequalities,Panstwowe Wydawnictwo Naukowe, Uniwerytet Slaski, Warszawa-Kraków-Katowice, 1985.
• [8] J. Pfanzagl, A general theory of measurement. Applications to utility, Naval Res. Logist. Quart. 6 (1959), 283–294.