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Games 2018, 9(2), 17; https://doi.org/10.3390/g9020017

How to Analyze Models of Nonlinear Public Goods

School of Biological Sciences, University of East Anglia, Norwich Research Park, Norwich NR4 7TJ, UK
Received: 28 February 2018 / Revised: 27 March 2018 / Accepted: 3 April 2018 / Published: 4 April 2018
(This article belongs to the Special Issue Game Theory and Cancer)
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Abstract

Public goods games often assume that the effect of the public good is a linear function of the number of contributions. In many cases, however, especially in biology, public goods have nonlinear effects, and nonlinear games are known to have dynamics and equilibria that can differ dramatically from linear games. Here I explain how to analyze nonlinear public goods games using the properties of Bernstein polynomials, and how to approximate the equilibria. I use mainly examples from the evolutionary game theory of cancer, but the approach can be used for a wide range of nonlinear public goods games. View Full-Text
Keywords: game theory; public goods; cooperation; nonlinear games; evolutionary dynamics; Bernstein polynomials; cancer game theory; public goods; cooperation; nonlinear games; evolutionary dynamics; Bernstein polynomials; cancer
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Archetti, M. How to Analyze Models of Nonlinear Public Goods. Games 2018, 9, 17.

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