Weighted quasi-arithmetic means on two-dimensional regions when weighting functions are independent and utility functions have independent forms are introduced, and some conditions on weighting functions are discussed to characterize the properties. The first-order stochastic dominance and risk premiums on two-dimensional regions are demonstrated. Several examples of two-dimensional utility functions are given by one-dimensional utility functions to explain main results.
CITATION STYLE
Yoshida, Y. (2016). Weighted quasi-arithmetic means on two-dimensional regions: An independent case. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9880 LNAI, pp. 82–93). Springer Verlag. https://doi.org/10.1007/978-3-319-45656-0_7
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