Artikel

How to analyze models of nonlinear public goods

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.

Sprache
Englisch

Erschienen in
Journal: Games ; ISSN: 2073-4336 ; Volume: 9 ; Year: 2018 ; Issue: 2 ; Pages: 1-15 ; Basel: MDPI

Klassifikation
Wirtschaft
Thema
game theory
public goods
cooperation
nonlinear games
evolutionary dynamics
Bernstein polynomials
cancer

Ereignis
Geistige Schöpfung
(wer)
Archetti, Marco
Ereignis
Veröffentlichung
(wer)
MDPI
(wo)
Basel
(wann)
2018

DOI
doi:10.3390/g9020017
Handle
Letzte Aktualisierung
10.03.2025, 11:41 MEZ

Datenpartner

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Objekttyp

  • Artikel

Beteiligte

  • Archetti, Marco
  • MDPI

Entstanden

  • 2018

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