How to analyze models of nonlinear public goods
type: Item
instance of: scholarly article
title: How to analyze models of nonlinear public goods
zbMATH Open document ID: 1404.91094
author: Marco Archetti
published in: Games
publication date: 2018-07-10T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 91B18
Mathematics Subject Classification ID: 91A22
Mathematics Subject Classification ID: 91A12
Mathematics Subject Classification ID: 14F10
zbMATH DE Number: 6901027
zbMATH Keywords: game theory
zbMATH Keywords: public goods
zbMATH Keywords: cooperation
zbMATH Keywords: nonlinear games
zbMATH Keywords: evolutionary dynamics
zbMATH Keywords: Bernstein polynomials
zbMATH Keywords: cancer
MaRDI profile type: Publication
full work available at URL: g9020017
OpenAlex ID: W2796059684
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DOI: 10.3390/G9020017
description: scientific article; zbMATH DE number 6901027