How to Analyze Models of Nonlinear Public Goods

Archetti, Marco (2018) How to Analyze Models of Nonlinear Public Goods. Games, 9 (2). ISSN 2073-4336

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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.

Item Type: Article
Faculty \ School: Faculty of Science > School of Biological Sciences
Related URLs:
Depositing User: Pure Connector
Date Deposited: 17 Apr 2018 16:32
Last Modified: 22 Jul 2020 02:09
URI: https://ueaeprints.uea.ac.uk/id/eprint/66796
DOI: 10.3390/g9020017

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