Competing with oneself: introducing self-interaction in a model of competitive learning

Authored by Gaurang Mahajan, Anita Mehta

Date Published: 2010-12

DOI: 10.1007/s12064-010-0111-y

Sponsors: Government of India

Platforms: No platforms listed

Model Documentation: Other Narrative Mathematical description

Model Code URLs: Model code not found

Abstract

A competitive learning model was introduced in Mehta and Luck (Phys Rev E 60, 5:5218-5230, 1999), in which the learning is outcome-related. Every individual chooses between a pair of existing strategies or types, guided by a combination of two factors: tendency to conform to the local majority, and a preference for the type with higher perceived success among its neighbors, based on their relative outcomes. Here, an extension of the interfacial model of Mehta and Luck (Phys Rev E 60, 5:5218-5230, 1999) is proposed, in which individuals additionally take into account their own outcomes in arriving at their outcome-based choices. Three possible update rules for handling bulk sites are considered. The corresponding phase diagrams, obtained at coexistence, show systematic departures from the original interfacial model. Possible relationships of these variants with the cooperative model of Mehta and Luck (Phys Rev E 60, 5:5218-5230, 1999) are also touched upon.

Tags

game theory Agent-based models Complex systems Strategic learning