Optimal Control of Fractional Punishment in Optional Public Goods Game
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917793226555392 |
|---|---|
| author | Grau, J. Botta, R. Schaerer, C. E. |
| author_facet | Grau, J. Botta, R. Schaerer, C. E. |
| contents | Punishment is probably the most frequently used mechanism to increase cooperation in Public Goods Games (PGG); however, it is expensive. To address this problem, this paper introduces an optimal control problem that uses fractional punishment to promote cooperation. We present a series of computational experiments illustrating the effects of single and combined terms of the optimization cost function. In the findings, the optimal controller outperforms the use of constant fractional punishment and gives an insight into the period and size of the penalization to be implemented with respect to the defection in the game. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_01674 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Optimal Control of Fractional Punishment in Optional Public Goods Game Grau, J. Botta, R. Schaerer, C. E. Systems and Control Optimization and Control Punishment is probably the most frequently used mechanism to increase cooperation in Public Goods Games (PGG); however, it is expensive. To address this problem, this paper introduces an optimal control problem that uses fractional punishment to promote cooperation. We present a series of computational experiments illustrating the effects of single and combined terms of the optimization cost function. In the findings, the optimal controller outperforms the use of constant fractional punishment and gives an insight into the period and size of the penalization to be implemented with respect to the defection in the game. |
| title | Optimal Control of Fractional Punishment in Optional Public Goods Game |
| topic | Systems and Control Optimization and Control |
| url | https://arxiv.org/abs/2410.01674 |