The Simple, the Complex, the Meaningful, and the Beautiful

Area of Science:

• Economics
• Complexity Science
• Nonlinear Dynamics

Background:

• J. Barkley Rosser Jr.'s career focused on complexity and nonlinear dynamics in economics.
• His work highlights how simple models can capture complex economic phenomena.

Purpose of the Study:

• To survey J. Barkley Rosser Jr.'s key contributions to economic complexity.
• To illustrate complex dynamics using a simple economic model.

Main Methods:

• Review of J. Barkley Rosser Jr.'s research on economic complexity and nonlinear dynamics.
• Development and analysis of a two-equation discrete-time model for idea diffusion.

Main Results:

• Economic processes can be modeled using simple nonlinear systems.
• Low-dimensional nonlinear systems exhibit complex evolutionary patterns with economic significance.
• A proposed model demonstrates how simple dynamics can generate visually attractive and meaningful complexity.

Conclusions:

• J. Barkley Rosser Jr.'s work reveals the power of nonlinear dynamics in economic analysis.
• Simple dynamic models can effectively illustrate complex economic behaviors and idea diffusion.