Calculation of the Categorical Imperative in a Multi-Agent Environment

Authors

  • Sebti Rabah, Bassem Ben Hamed

Keywords:

computational ethics, categorical imperative, moral values, multi-agent system

Abstract

With the growing need to represent human ethical knowledge in the field of artificial intelligence, and considering the heavy legacy of philosophical and doctrinal issues specific to various schools of thought, the major challenge lies in representing this knowledge computationally. In a multi-agent scenario, if one wishes to integrate Kantian ethical deontology, which requires a formulation consistent with the theoretical definitions represented by the categorical imperative, this consistency depends on two fundamental conditions: generalizability without contradiction, and adherence to universal moral principles. Here, we propose a simple and detailed method for calculating this consistency, by combining logical and mathematical approaches.

Downloads

Download data is not yet available.

References

[Abney 2012] Abney, K. 2012. Robotics, ethical theory, and metaethics: A guide for the perplexed. In Lina, P.; Abney, K.; and Bekey, G. A., eds., Robot Ethics: The Ethical and Social Implications of Robotics. MIT Press. 35–52.

[Arkoudas, Bringsjord, and Bello 2005] Arkoudas, K.; Bringsjord, S.; and Bello, P. 2005. Toward ethical robots via mechanized deontic logic. Technical report, AAAI Fall Symposium on Machine Ethics, AAAI.

[Bentzen 2016] Bentzen, M. 2016. The principle of dou[1]ble effect applied to ethical dilemmas of social robots. In Robophilosophy 2016/TRANSOR 2016: What Social Robots Can and Should Do. IOS Press. 268–279.

[Dreze, Greenberg, 1980] Dreze J. H., Greenberg J. 1980. Hedonic coalitions: Optimality and stability. Econometrica, vol. 48, no 4, p. 987–1003.

[Govindarajuli and Bringsjord 2017] Govindarajuli, N. S., and Bringsjord, S. 2017. On automating the doctrine of dou[1]ble effect. In Proceedings of the Twenty-Sixth International Joint Conference on Artificial Intelligence (IJCAI). 4722– 4730.

[Horty 2001] Horty, J. F. 2001. Agency and Deontic Logic. Oxford University Press.

[Lindner, Bentzen, and Nebel 2017] Lindner, F.; Bentzen, M.; and Nebel, B. 2017. The HERA approach to morally competent robots. In Proceedings of the 2017 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS). IEEE/RSJ.

[Lindner and Bentzen 2018] Lindner, F, and Bentzen, M. 2018. A Formalization of Kant’s Second Formulation of the Categorical Imperative. arXiv:1801.03160v1

[Johnson R, 2014] Kant’s moral philosophy. In Edward N. Zalta, editor, The Stanford Encyclopedia of Philosophy.

[Kant I, (1785) ] Groundwork of the Metaphysics of Morals. Cambridge University Press.

[Manna and Nath 2021] Manna, R, and Nath, R. 2021. Kantian Moral Agency and the Ethics of Artificial Intelligence. Vilnius University press. https://doi.org/10.15388/Problemos.100.11

[Morgenstern, Von Neumann, 1953] Morgenstern O., Von Neumann J. 1953. Theory of games and economic behavior. Princeton University Press.

[Mougan et Brand 2024] Mougan, C, and Brand, J. 2024. Kantian Deontology Meets AI Alignment: Towards Morally Grounded Fairness Metrics. arXiv:2311.05227v2.

[Nash, 1950] Nash J. F. 1950. Equilibrium points in n-person games. Proceedings of the National Academy of Sciences of the United States of America, vol. 36, no 1, p. 48–49.

[Powers 2006] Powers, T. M. 2006. Prospects for a kantian machine. IEEE Intelligent Systems 21(4):46–51.

[Singh, Lavanya 2022] Singh, Lavanya. (2022). Automated Kantian Ethics: A Faithful Implementation. In: Bergmann, R., Malburg, L., Rodermund, S.C., Timm, I.J. (eds) KI 2022: Advances in Artificial Intelligence. KI 2022. Lecture Notes in Computer Science(), vol 13404. Springer. pp 187–208

[Vallée, Bonnet, de Swarte 2018] Vallée,T; Bonnet, G, and de Swarte, T. 2018. Modélisation de valeurs humaines : le cas des vertus dans les jeux hédoniques. Revue d’intelligence artificielle – no 4/2018, 519-546

[Winfield, Blum, and Liu 2014] Winfield, A. F.; Blum, C.; and Liu, W. 2014. Towards an ethical robot: internal mod[1]els, consequences and ethical action selection. In Mistry, M.; Leonardis, A.; M.Witkowski; and Melhuish, C., eds., Advances in Autonomous Robotics Systems. Springer. 85– 96

Downloads

Published

04.05.2025

How to Cite

Sebti Rabah. (2025). Calculation of the Categorical Imperative in a Multi-Agent Environment. International Journal of Intelligent Systems and Applications in Engineering, 13(1s), 103–114. Retrieved from https://www.ijisae.org/index.php/IJISAE/article/view/7501

Issue

Section

Research Article