Integer linear fractional programming problem with multiple objective MOILFP is an important field of research and has not received as much attention as did multiple objective linear fractional programming. In this work, we develop a branch and cut algorithm based on continuous fractional...

This paper proposes a new approach to numerically solving a wide class of heterogeneous agent models in continuous time using adaptive sparse grids. I combine the sparse finite difference method with the sparse finite volume method to solve the Hamilton-Jacobian-Bellman equation and Kolmogorov...

This paper proposes two theoretical dynamic models (Models A and B) to analyze the interaction between distributive and financial cycles in capitalist economies. Model A assumes investment equals savings at the aggregate level but assumes a delay between capitalists saving their income and...

The Democratic Republic of Congo (DRC) is endowed with vast natural resources, including cobalt, copper, and diamonds. Despite this wealth, the country struggles with economic challenges, notably high poverty rates and instability. This paper introduces the Theorem of Industrial Diversification...

We propose a portfolio construction method that accounts for the regime-dependent behavior of stocks, thereby impacting their expected returns. Using a hidden Markov model (HMM) and a regime-weighted least-squares approach, we estimate forward-looking regime-conditional factors. These factors...

I study the identification of time preferences in dynamic discrete choice models. Time preferences play a crucial role in these models, as they affect inference and counterfactual analysis. Previous literature has shown that observed choice probabilities do not identify the exponential discount...

In this paper, we apply the idea of $k$-local contraction of \cite{zec, zet} to study discounted stochastic dynamic programming models with unbounded returns. Our main results concern the existence of a unique solution to the Bellman equation and are applied to the theory of stochastic optimal...

Agrochemicals are crucial for modern agriculture, but improper use can cause nonpoint source pollution (NPS), harming water quality and health. Despite recognizing agriculture as a major NPS contributor, policies lag in addressing it. Current literature identifies three main approaches to...

This paper presents a mathematical economic model to analyze the trade dynamics along the Ganges River, focusing on the interactions among political stability, technological advancement, guild productivity, and the supply-demand mechanism. The model employs principles from Classical Economics...

This paper develops an economic equilibrium model for pollution management and resource generation within a district, segmented into blocks. The model uses quadratic equations to derive equilibrium conditions at both block and district levels. The analysis incorporates principles from Keynesian,...