Το work with title Coalitional stability in structured environments by Chalkiadakis Georgios, Evangelos Markakis, Nicholas R. Jennings is licensed under Creative Commons Attribution 4.0 International
Bibliographic Citation
G. Chalkiadakis,E. Markakis,N. R. Jennings .(2012).Coalitional Stability in Structured Environments.Presented at the 11th International Conference on Autonomous Agents and Multiagent Systems.[onlline]. Available: http://pages.cs.aueb.gr/~markakis/research/aamas12-coop-graphs.pdf
In many real-world settings, the structure of the environment con- strains the formation of coalitions among agents. Therefore, ex- amining the stability of formed coalition structures in such set- tings is of natural interest. We address this by considering core- stability within various models of cooperative games with struc- ture. First, we focus on characteristic function games defined on graphs that determine feasible coalitions. In particular, a coalition S can emerge only if S is a connected set in the graph. We study the (now modified) core, in which it suffices to check only feasi- ble deviations. Specifically, we investigate core non-emptiness as well as the complexity of computing stable configurations. We then move on to the more general class of (graph-restricted) partition function games, where the value of a coalition depends on which other coalitions are present, and provide the first stability results in this domain. Finally, we propose a “Bayesian” extension of parti- tion function games, in which information regarding the success of a deviation is provided in the form of a probability distribution de- scribing the possible reactions of non-deviating agents, and provide the first core-stability results in this model also.