Utility functions invariant with respect to some classes of transformations

• Autorzy: Chudziak J.
• Języki publikacji: EN

Abstrakty

EN

Inspired by some relevant recent results of A. E. Abbas we determine utility functions invariant with respect to some classes of transformations.

Słowa kluczowe

EN

utility function; invariance; functional equation; additive function; exponential function

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2013
• Tom: Vol. 42, no. 2
• Strony: 347--363
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Chudziak J.

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

Bibliografia

• 1. ABBAS, A. E. (2007) Invariant utility functions and certain equivalent transformations. Decision Analysis 4, 17–31.
• 2. ABBAS, A. E. (2010) Invariant multiattribute utility functions. Theory and Decision 68, 69–99.
• 3. ABBAS, A. E., ACZEL, J. and CHUDZIAK, J. (2009) Invariance of multiattribute utility functions under shift transformations. Result. Math. 54, 1–13.
• 4. CHUDZIAK, J. (2010) On a class of multiattribute utility functions inwariant under shift transformations. Acta Phys. Polon. A. 117, 673–675.
• 5. KUCZMA, M. (1985) An Introduction to the Theory of Functional Equations and Inequalities. Państwowe Wydawnictwo Naukowe, Uniwersytet Śląski, Warszawa-Krakow-Katowice.
• 6. PFANZAGL, J. (1959) A general theory of measurement. Applications to utility, Naval Res. Logist. Quart. 6, 283–294.
• 7. SOBEK, B. (2010) Pexider equation on a restricted domain. Demonstratio Math. 43, 81–88.