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.
- Language
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Englisch
- Bibliographic citation
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Journal: Games ; ISSN: 2073-4336 ; Volume: 9 ; Year: 2018 ; Issue: 2 ; Pages: 1-15 ; Basel: MDPI
- Classification
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Wirtschaft
- Subject
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game theory
public goods
cooperation
nonlinear games
evolutionary dynamics
Bernstein polynomials
cancer
- Event
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Geistige Schöpfung
- (who)
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Archetti, Marco
- Event
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Veröffentlichung
- (who)
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MDPI
- (where)
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Basel
- (when)
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2018
- DOI
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doi:10.3390/g9020017
- Handle
- Last update
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10.03.2025, 11:41 AM CET
Data provider
This object is provided by:
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. If you have any questions about the object, please contact the data provider.
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. If you have any questions about the object, please contact the data provider.
Object type
- Artikel
Associated
- Archetti, Marco
- MDPI
Time of origin
- 2018
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