Generalized Replicator Dynamics as a Model of Specialization and Diversity in Societies

Vivek S. Borkar (), Sanjay Jain () and Govindan Rangarajan ()
Additional contact information
Vivek S. Borkar: Department of Computer Science and Automation, Indian Institute of Science, Bangalore 560 012, India
Sanjay Jain: Centre for Theoretical Studies, Indian Institute of Science, Bangalore 560 012, India
Govindan Rangarajan: Department of Mathematics and Centre for Theoretical Studies, Indian Institute of Science, Bangalore 560 012, India

Advances in Complex Systems (ACS), 1999, vol. 01, issue 04, 325-359

Abstract: We consider a generalization of replicator dynamics as a non-cooperative evolutionary game-theoretic model of a community ofNagents. All agents update their individual mixed strategy profiles to increase their total payoff from the rest of the community. The properties of attractors in this dynamics are studied. Evidence is presented that under certain conditions the typical attractors of the system are corners of state space where each agent has specialized to a pure strategy, and/or the community exhibits diversity, i.e., all strategies are represented in the final states. The model suggests that new pure strategies whose payoff matrix elements satisfy suitable inequalities with respect to the existing ones can destabilize existing attractors ifNis sufficiently large, and be regarded as innovations that enhance the diversity of the community.

Keywords: Generalized replicator dynamics; evolutionary game theory; interacting agents; diversity; specialization (search for similar items in EconPapers)
Date: 1999
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0219525998000211
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:acsxxx:v:01:y:1999:i:04:n:s0219525998000211

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0219525998000211

Access Statistics for this article

Advances in Complex Systems (ACS) is currently edited by Frank Schweitzer

More articles in Advances in Complex Systems (ACS) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().