Lipschitz Bernoulli Utility Functions

We obtain several variants of the classic von Neumann–Morgenstern expected utility theorem with and without the completeness axiom in which the derived Bernoulli utility functions are Lipschitz. The prize space in these results is an arbitrary separable metric space, and the utility functions are al...

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Veröffentlicht in:	Mathematics of operations research 2023-05, Vol.48 (2), p.728-747
1. Verfasser:	Ok, Efe A
Format:	Artikel
Sprache:	eng
Schlagworte:	46E15 91B06 Banach spaces Bernoulli utility Expected utility expected utility representation Fixed points (mathematics) Kantorovich–Rubinstein space Lipschitz condition Lipschitz functions Lipschitz preorders Metric space Operations research Primary 46N10 secondary 06A06 Theorems Utility functions Wasserstein metric
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