Real Time Manual Control of Fractional Punishment in Optional Public Goods Game

Authors

  • Josias Grau
  • Rocio Botta
  • Christian E. Schaerer

Abstract

Interpreting the results of simulating a non linear system of differential equations requires a great deal of background knowledge about the system that is being analyzed. If a controller is implemented, the dynamics of the system may change completely, creating another barrier in the time that is needed to analyze the system.

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Author Biographies

Josias Grau

School of Engineering - National University of Asuncion, San Lorenzo, Central, Paraguay.

Rocio Botta

School of Engineering - National University of Asuncion, San Lorenzo, Central, Paraguay.

Christian E. Schaerer

School of Engineering - National University of Asuncion, San Lorenzo, Central, Paraguay.

References

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.

Christoph Hauert et al. “Volunteering as red queen mechanism for cooperation in public goods games”. In: Science 296.5570 (2002), pp. 1129–1132.

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.

G. R. Rose. “Numerical Methods for Solving Optimal Control Problems”. Master dissertation. University of Tennessee, 2015. url: https://trace.tennessee.edu/utk_gradthes/3401.

J. Grau, R. Botta, and C. E. Schaerer. “Optimal control of fractional punishment in optional public goods game”. In: Proceeding Series of the Brazilian Society of Computational and Applied Mathematics. Vol. 9. SBMAC - Sociedade de Matemática Aplicada e Computacional. 2022, pp. 1–2.

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Published

2023-12-18