3 citations · 5 across the 9 of their papers we have counts for
10 papers
A Note on the Continuity of Expected Utility Functions
Yuhki Hosoya
In this paper, we study the continuity of expected utility functions, and derive a necessary and sufficient condition for a weak order on the space of simple probabilities to have…
Utilitarian Theorems and Equivalence of Utility Theories
Yuhki Hosoya
In this paper, we consider an environment in which the utilitarian theorem for the NM utility function derived by Harsanyi and the utilitarian theorem for Alt's utility function de…
A Rigorous Proof of the Index Theorem for Economists
Yuhki Hosoya
This paper provides a rigorous and gap-free proof of the index theorem used in the theory of regular economy. In the index theorem that is the subject of this paper, the assumption…
Differential Characterization of Quasi-Concave Functions without Twice Differentiability
Yuhki Hosoya
This paper presents a necessary and sufficient condition for a real-valued function defined on an open and convex subset of a Banach space to be quasi-concave, and a sufficient con…
On Gale's Contribution in Revealed Preference Theory
Yuhki Hosoya
We investigate Gale's important paper published in 1960. This paper contains an example of a candidate of the demand function that satisfies the weak axiom of revealed preference a…
On the Fragility of the Basis on the Hamilton-Jacobi-Bellman Equation in Economic Dynamics
Yuhki Hosoya
In this paper, we provide an example of the optimal growth model in which there exist infinitely many solutions to the Hamilton-Jacobi-Bellman equation but the value function does…