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…
Non-Smooth Integrability Theory
Yuhki Hosoya
We study a method for calculating the utility function from a candidate of a demand function that is not differentiable, but is locally Lipschitz. Using this method, we obtain two…
On the Uniqueness and Stability of the Equilibrium Price in Quasi-Linear Economies
Yuhki Hosoya
In this paper, we show that if every consumer in an economy has a quasi-linear utility function, then the normalized equilibrium price is unique, and is locally stable with respect…
On the Approximate Purification of Mixed Strategies in Games with Infinite Action Sets
Yuhki Hosoya, Chaowen Yu
We consider a game in which the action set of each player is uncountable, and show that, from weak assumptions on the common prior, any mixed strategy has an approximately equivale…
An Axiom for Concavifiable Preferences in View of Alt's Theory
Yuhki Hosoya
We present a necessary and sufficient condition for Alt's system to be represented by a continuous utility function. Moreover, we present a necessary and sufficient condition for t…