3 citations · 5 across the 9 of their papers we have counts for
5 papers · 2 filters
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…
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…