This paper proposes a general approximation method for the solution to a second-order parabolic partial differential equation(PDE) widely used in finance through an extension of Léeandre's approach(Léandre (2006,2008)) and the Bismut identiy(e.g. chapter IX-7 of Malliavin (1997))] in Malliavin...

In this work, we apply our newly proposed perturbative expansion technique to a quadratic growth FBSDE appearing in an incomplete market with stochastic volatility that is not perfectly hedgeable. By combining standard asymptotic expansion technique for the underlying volatility process, we...

In place of the standard search equilibrium, this paper presents an alternative concept of stochastic macro-equilibrium based on the principle of statistical physics. This concept of equilibrium is motivated by unspecifiable differences of economic agents and the presence of all kinds of micro...

This article develops a multitask model in which the agent has to produce both verifiable and unverifiable outputs in a dynamic framework as observed in actual labor markets and practices. The model derives an important result regarding the timing and the length of a wage contract. A short-term...

On the basis of the standard model of local public production, we delineate the factors that account for the "U-shaped" per capita local public expenditures and relate them to construct an efficiency indicator for local populations. We articulate that population-induced changes in the per capita...

We investigate multiunit exchange where a central planner and participants both bring commodities to sell and the central planner plays the role of platform provider. The central planner has restrictions on allocations. We characterize the optimal mechanism concerning his (her) revenue under...

In estimation of parameters in restricted spaces, several interesting and surprising results have been developed from a decision-theoretic point of view. For instance, in estimation of a normal mean with a known variance, the sample mean is minimax in the case that the mean is bounded from one...

This paper shows that new economic geography models are capable of simulating the real-world tendency for urban agglomeration to the primate city. It is often observed that while regional populations were dispersed in early times, they have been increasingly concentrated into one capital region...

This paper proposes a simple econometric framework that can identify moral hazard and selection problems separately in insurance markets. Although our methodology requires behavioral assumptions on the consumer's optimization, we show that these assumptions are necessary for the separate...

Both Japan in the late 1980s and the U.S. in the mid-2000s experienced an unsustainable boom in real estate prices along with high stock market valuations, and when the bubble burst, many households and financial institutions found themselves in dire straits. One major lesson from this...