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A discrete symmetry of a preference relation is a mapping from the domain of choice to itself under which preference comparisons are invariant; a continuous symmetry is a one-parameter family of such transformations that includes the identity; and a symmetry field is a vector field whose...
Persistent link: https://www.econbiz.de/10009739671
We show that even under socially constant returns to scale indeterminacy, i.e., a continuum of dynamic general equilibrium paths converging to a common steady state, can arise in a dynamic Heckscher-Ohlin model with production externality and endogenous time preference in which production is...
Persistent link: https://www.econbiz.de/10005650722
New methods for solving general linear parabolic partial differential equations (PDEs) in one space dimension are developed. The methods combine quadratic-spline collocation for the space discretization and classical finite differences, such as Crank-Nicolson, for the time discretization. The...
Persistent link: https://www.econbiz.de/10014203451
We propose a new method for the numerical solution of backward stochastic differential equations (BSDEs) which finds its roots in Fourier analysis. The method consists of an Euler time discretization of the BSDE with certain conditional expectations expressed in terms of Fourier transforms and...
Persistent link: https://www.econbiz.de/10013035748
I study the stability analysis of the solutions for the dynamical system of nonlinear asset flow differential equations (AFDEs) in three versions. I show that the previous two versions are not structurally stable mathematically because there are infinitely many critical points. It is important...
Persistent link: https://www.econbiz.de/10013122311
Continuous time is a superior representation of both the economic and climate systems that Integrated Assessment Models (IAM) aim to study. Moreover, continuous-time representations are simple to express. Continuous-time models are usually solved by discretizing time, but the quality of a...
Persistent link: https://www.econbiz.de/10013104827
We study the existence and uniqueness of minimal supersolutions of backward stochastic differential equations with generators that are jointly lower semicontinuous, bounded below by an affine function of the control variable and satisfy a specific normalization property. -- Supersolutions of...
Persistent link: https://www.econbiz.de/10009349139
In this paper we deal with the utility maximization problem with a general utility function. We derive a new approach in which we reduce the utility maximization problem with general utility to the study of a fully-coupled Forward-Backward Stochastic Differential Equation (FBSDE).
Persistent link: https://www.econbiz.de/10009349307
We investigate American options in a multiple prior setting of continuous time and determine optimal exercise strategies form the perspective of an ambiguity averse buyer. The multiple prior setting relaxes the presumption of a known distribution of the stock price process and captures the idea...
Persistent link: https://www.econbiz.de/10008990920
In this article the problem of curve following in an illiquid market is addressed. Using techniques of singular stochastic control, we extend the results of [NW11] to a twosided limit order market with temporary market impact and resilience, where the bid ask spread is now also controlled. We...
Persistent link: https://www.econbiz.de/10009266861