Diversity strengthens competing teams

Author:

Rowlett J.1ORCID,Karlsson C. J.1ORCID,Nursultanov M.2ORCID

Affiliation:

1. Mathematical Sciences, Chalmers University of Technology and the University of Gothenburg, 41296 Gothenburg, Sweden

2. Department of Mathematics and Statistics, University of Helsinki, PO Box 68, Helsinki FI-00014, Finland

Abstract

How does the composition of a collection of individuals affect its outcome in competition with other collections of individuals? Assuming that individuals can be different, we develop a model to interpolate between individual-level interactions and collective-level consequences. Rooted in theoretical mathematics, the model is not constrained to any specific context. Potential applications include research, education, sports, politics, ecology, agriculture, algorithms and finance. Our first main contribution is a game theoretic model that interpolates between the internal composition of an ensemble of individuals and the repercussions for the ensemble as a whole in competition with others. The second main contribution is the rigorous identification of all equilibrium points and strategies. These equilibria suggest a mechanistic underpinning for biological and physical systems to tend towards increasing diversity due to the strength it imparts to the system in competition with others.

Funder

Vetenskapsrådet

Ministry of Education and Science of the Republic of Kazakhstan

Government of Kazakhstan and the World Bank

Publisher

The Royal Society

Subject

Multidisciplinary

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