Satisfaction Equilibrium

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In game theory, a satisfaction equilibrium is a solution concept for a class of non-cooperative games, namely games in satisfaction form. Games in satisfaction form model situations in which players aim at satisfying a given individual constraint, e.g., a performance metric must be smaller or bigger than a given threshold. When a player satisfies its own constraint, the player is said to be satisfied. A satisfaction equilibrium, if it exists, arises when all players in the game are satisfied.

model satisfaction equilibrium

References

Ross, S.; Chaib-draa, B. (May 2006). "Satisfaction Equilibrium: Achieving Cooperation in Incomplete Information Games". Ottawa, ON, Canada. doi:10.1007/11766247_6. https://link.springer.com/chapter/10.1007/11766247_6.
Perlaza, S.; Tembine, H.; Lasaulce, S.; Debbah, M. (April 2012). "Quality-Of-Service Provisioning in Decentralized Networks: A Satisfaction Equilibrium Approach". IEEE Journal of Selected Topics in Signal Processing 6 (2): 104–116. doi:10.1109/JSTSP.2011.2180507. https://hal-supelec.archives-ouvertes.fr/hal-00769411/document.
Elhammouti, H.; Sabir, E.; Benjillali, M.; Echabbi, L.; Tembine, H. (September 2017). "Self-Organized Connected Objects: Rethinking QoS Provisioning for IoT Services". IEEE Communications Magazine 55 (9): 41-47. doi:10.1109/MCOM.2017.1600614. https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=8030483.
Southwell, R.; Chen, X.; Huang, J. (March 2014). "Quality of Service Games for Spectrum Sharing". IEEE Journal on Selected Areas in Communications 32 (3): 589-600. doi:10.1109/JSAC.2014.1403008. https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6746252.
Promponas, P.; Tsiropoulou, E-E.; Papavassiliou, S. (May 2021). "Rethinking Power Control in Wireless Networks: The Perspective of Satisfaction Equilibrium". IEEE Transactions on Control of Network Systems 0 (0): 1–1. doi:10.1109/TCNS.2021.3078123. https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=9425432.
Promponas, P.; Pelekis, C.; Tsiropoulou, E-E.; Papavassiliou, S. (July 2021). "Games in Normal and Satisfaction Form for Efficient Transmission Power Allocation Under Dual 5G Wireless Multiple Access Paradigm". IEEE/ACM Transactions on Networking 0 (0): 1–1. doi:10.1109/TNET.2021.3095351. https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=9492283.
Sanjab, A.; Saad, W. (July 2016). "Data Injection Attacks on Smart Grids With Multiple Adversaries: A Game-Theoretic Perspective". IEEE Transactions on Smart Grid 7 (4): 2038-2049. doi:10.1109/TSG.2016.2550218. https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=7446354.
Debreu, G. (October 1952). "A Social Equilibrium Existence Theorem". Proceedings of the National Academy of Sciences of the United States of America 38 (10): 886-893. doi:10.1073/pnas.38.10.886. https://www.pnas.org/content/pnas/38/10/886.full.pdf.
Goonewardena, M.; Perlaza, S.; Yadav, A.; Ajib, W. (June 2017). "Generalized Satisfaction Equilibrium for Service-Level Provisioning in Wireless Networks". IEEE Transactions on Communications 65 (6): 2427–2437. doi:10.1109/TCOMM.2017.2662701. https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=7839271.

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