Abstract
We provide a framework to model competition and cooperation within a group of agents. Competition is dealt with through adversarial risk analysis, which provides a disagreement point and, implicitly, through minimum distance to such point. Cooperation is dealt with through a concept of maximal separation from the disagreement point. Mixtures of both problems are used to refer to in-between behavior. We illustrate the ideas with several experiments in relation with groups of robots.
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Notes
- 1.
This is made to allow for behavior in between cooperation and competition. If \(p=q\), then \(\phi (F,d) = \arg \max (\lambda _{1} - \lambda _2)L_p(x,d)\) which leads to the fully competitive or the fully cooperative solution, depending on the sign of \((\lambda _{1} - \lambda _2)\).
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Acknowledgments
Research supported by grants from the MICINN project RIESGOS, the RIESGOS-CM project and the INNPACTO project HAUS. Supported by the AXA-ICMAT Chair in Adversarial Risk Analysis. We are grateful to discussion with Diego García, from AiSoy Robotics S.L., Jesus Ríos and David Banks.
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Esteban, P.G., Insua, D.R. (2015). Designing Societies of Robots. In: Guy, T., Kárný, M., Wolpert, D. (eds) Decision Making: Uncertainty, Imperfection, Deliberation and Scalability. Studies in Computational Intelligence, vol 538. Springer, Cham. https://doi.org/10.1007/978-3-319-15144-1_2
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