Characterization of positive homogeneity for the principle of equivalent utility

Chudziak, Jacek

doi:10.1007/s13398-022-01269-7

Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat.

2022

DOI: 10.1007/s13398-022-01269-7

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Characterization of positive homogeneity for the principle of equivalent utility

Jacek Chudziak

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2023

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“…Let us also mention that (positive) homogeneity property plays in the principle of equivalent utility (see [17,18]).…”

mentioning

confidence: 99%

Means in money exchange operations

Bojarşki¹,

Matkowski²

2023

J. Appl. Math. Comput. Mech.

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It is observed that in some money exchange operations, every n-variable mean M applied by two market analysts who are acting in different countries should be self reciprocally-conjugate. The main result says that the only homogeneous weighted quasiarithmetic mean satisfying this condition is the weighted geometric mean. In the context of invariance of the geometric mean with respect to the arithmetic-harmonic mean-type mapping, the possibility of the occurring reciprocal-conjugacy in technical sciences is commented.

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“…Let us also mention that (positive) homogeneity property plays in the principle of equivalent utility (see [17,18]).…”

mentioning

confidence: 99%

Means in money exchange operations

Bojarşki¹,

Matkowski²

2023

J. Appl. Math. Comput. Mech.

View full text Add to dashboard Cite

show abstract

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Characterization of positive homogeneity for the principle of equivalent utility

Cited by 1 publication

References 20 publications

Means in money exchange operations

Means in money exchange operations

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