4 papers
Simultaneous Holotheticity and Bi-Hamiltonian Structures in Economic Growth Theory
Sarah Finkle, Roman G. Smirnov
In this paper, we establish a rigorous geometric framework that applies the formal architecture of finite-dimensional bi-Hamiltonian structures and Nambu-Poisson mechanics to macro…
Caputo-Type Memory Invariants: A Fractional Generalization of the Cobb-Douglas Production Function
Roman G. Smirnov
Standard dynamical systems approaches to economic modeling, such as those deriving the Cobb-Douglas and CES production functions from exponential growth trajectories, typically rel…
Rethinking Growth: An Extension of the Solow-Swan Model
Timothy F. Power, Roman G. Smirnov
The aggregate Cobb-Douglas production function stands as a central element in the renowned Solow-Swan model in economics, providing a crucial theoretical framework for comprehendin…
Deriving Production Functions in Economics Through Data-Driven Dynamical Systems
Roman G. Smirnov
In their seminal 1928 work, Charles Cobb and Paul Douglas empirically validated the Cobb-Douglas production function through statistical analysis of U.S. economic data from 1899 to…