Abstract
We introduce a new variant of hedonic coalition formation games in which agents have two levels of preference on their own coalitions: preference on the set of “roles” that makes up the coalition, and preference on their own role within the coalition. We define several stability notions and optimization problems for this model. We prove the hardness of the decision problems related to our optimization criteria and show easiness of finding individually stable partitions. We introduce a heuristic optimizer for coalition formation in this setting. We evaluate results of the heuristic optimizer and the results of local search for individually stable partitions with respect to brute-force MaxSum and MaxMin solvers.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Aziz, H., Brandl, F.: Existence of stability in hedonic coalition formation games. In: Proc. Conference on Autonomous Agents and Multiagent Systems (AAMAS 2012) (2012)
Aziz, H., Brandt, F., Harrenstein, P.: Pareto optimality in coalition formation. In: Persiano, G. (ed.) SAGT 2011. LNCS, vol. 6982, pp. 93–104. Springer, Heidelberg (2011)
Aziz, H., Brandt, F., Seedig, H.G.: Computing desirable partitions in additively separable hedonic games. Artificial Intelligence (2012)
Banerjee, S., Konishi, H., Sönmez, T.: Core in a simple coalition formation game. Social Choice and Welfare 18, 135–153 (2001)
Banerjee, S., Konishi, H., Sönmez, T.: Core in a simple coalition formation game. Social Choice and Welfare 18(1), 135–153 (2001)
Bogomolnaia, A., Jackson, M.O.: The stability of hedonic coalition structures. Games and Economic Behavior 38(2), 201–230 (2002)
Conitzer, V., Sandholm, T.: Communication complexity of common voting rules. In: Proceedings of the 6th ACM Conference on Electronic Commerce, EC 2005, pp. 78–87. ACM, New York (2005)
Conitzer, V., Sandholm, T.: Complexity of constructing solutions in the core based on synergies among coalitions. Artificial Intelligence 170, 607–619 (2006)
Darmann, A., Elkind, E., Kurz, S., Lang, J., Schauer, J., Woeginger, G.: Group activity selection problem. In: Workshop Notes of COMSOC 2012 (2012)
DFC. League of Legends Most Played PC Game. DFC Intelligence (2012) http://www.dfcint.com/wp/?p=343 .
Drèze, J.H., Greenberg, J.: Hedonic coalitions: Optimality and stability. Econometrica 48(4), 987 (1980)
Goldreich, O.: Computational Complexity, A Conceptual Perspective. Cambridge University Press (2008)
Ismaili, A., Bampis, E., Maudet, N., Perny, P.: A study on the stability and efficiency of graphical games with unbounded treewidth. In: Proceedings of the 12th International Conference on Autonomous Agents and Multiagent Systems (AAMAS 2013) (to appear, 2013)
Pini, M.S., Rossi, F., Venable, K.B., Walsh, T.: Stability in matching problems with weighted preferences. In: Filipe, J., Fred, A. (eds.) ICAART 2011. CCIS, vol. 271, pp. 319–333. Springer, Heidelberg (2013)
Riot. League of Legends’ Growth Spells Bad News for Teemo—Riot Games. Riot Games Inc. (2012), http://www.riotgames.com/articles/20121015/138/league-legends-growth-spells-bad-news-teemo
Riot. Let’s talk about Champ Select - Page 5 - League of Legends. Riot Games Inc. (2013), http://na.leagueoflegends.com/board/showthread.php?p=35559688#35559688
Saad, W., Han, Z., Basar, T., Debbah, M., Hjorungnes, A.: Hedonic coalition formation for distributed task allocation among wireless agents. In: Proc. IEEE Transactions on Mobile Computing (2011)
Saad, W., Han, Z., Basar, T., Hjorungnes, A., Song, J.B.: Hedonic coalition formation games for secondary base station cooperation in cognitive radio networks. In: Wireless Communications and Networking Conference (WCNC), pp. 1–6 (2010)
Saad, W., Han, Z., Hjørungnes, A., Niyato, D., Hossain, E.: Coalition formation games for distributed cooperation among roadside units in vehicular networks. IEEE Journal on Selected Areas in Communications (JSAC), Special Issue on Vehicular Communications and Networks (2011)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Spradling, M., Goldsmith, J., Liu, X., Dadi, C., Li, Z. (2013). Roles and Teams Hedonic Game. In: Perny, P., Pirlot, M., Tsoukiàs, A. (eds) Algorithmic Decision Theory. ADT 2013. Lecture Notes in Computer Science(), vol 8176. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41575-3_27
Download citation
DOI: https://doi.org/10.1007/978-3-642-41575-3_27
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-41574-6
Online ISBN: 978-3-642-41575-3
eBook Packages: Computer ScienceComputer Science (R0)