Optimal Control of Fractional Punishment in Optional Public Goods Game

Josias Grau, Rocio Botta, Christian E. Schaerer

Resumo


Improving cooperation is a key issue in many systems and organizations. Punishment is a mechanism to improve cooperation, but it can be expensive [1], and consequently it itself becomes a Public Good [2]. Several mechanism to implement punishment are encountered in the literature including sanctioning only a fraction of the free riders [3]. This approach reduces the number of free riders, and consequently the cost of the sanctioning system. [...]


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Referências


R. Botta, G. Blanco, and C. E. Schaerer. “Evolutionary games and the evolution of cooperation”. In: 2013 XXXIX Latin American Computing Conference (CLEI). 2013, pp. 1– 11. doi: 10.1109/CLEI.2013.6670629.

T. Yamagishi. “The provision of a sanctioning system as a public good.” In: Journal of Personality and Social Psychology 51.1 (1986), pp. 110–116.

R. Botta, G. Blanco, and C. E. Schaerer. “Fractional Punishment of Free Riders to Improve Cooperation in Optional Public Good Games”. In: Games 12.1 (2021). issn: 2073-4336. doi: 10.3390/g12010017. url: https://www.mdpi.com/2073-4336/12/1/17.

C. Hauert et al. “Replicator dynamics for optional public good games”. In: Journal of Theoretical Biology 218.2 (2002), pp. 187–194. issn: 00225193. doi: 10.1006/jtbi.2002.3067.

T. P. Mathew, M. Sarkis, and C. E. Schaerer. “Analysis of Block Parareal Preconditioners for Parabolic Optimal Control Problems”. In: SIAM Journal on Scientific Computing 32.3 (2010), pp. 1180–1200.


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