The efficiency of individual optimization in the conditions of competitive growth

Authored by J. Kocisova, D. Horvath, B. Brutovsky

Date Published: 2009-09-01

DOI: 10.1016/j.physa.2009.04.044

Sponsors: APVV LeStudium of the Region Centre Center National de la Recherche Scientique VEGA grants

Platforms: No platforms listed

Model Documentation: Other Narrative Mathematical description

Model Code URLs: Model code not found

Abstract

The paper aims to discuss statistical properties of the multi-agent based model of competitive growth. Each of the agents is described by the growth (or decay) rule of its virtual “mass”, with the rate affected by the interaction wit h other agents. The interaction depends on the strategy vector and Mutual distance between agents, and both are subjected to the agent's individual optimization process. Steady-state Simulations yield phase diagrams with the high and low competition phases (HCP and LCP, respectively) separated by critical point. Particular focus has been made on the indicators of the power-law behavior of the mass distributions with respect to the critical regime. In this regime, the study has revealed a remarkable anomaly in the optimization efficiency. (C) 2009 Elsevier B.V. All rights reserved.

Tags

Optimization Agent-based systems Growth model