Adaptive Coalition Structure Generation in Cooperative Multi-agent Systems

In multiagent systems a coalition structure is a col- lection of pair-wise disjoint subsets of agents whose union yields the entire population. Given a characteristic funct ion quantifying the worth of agent subsets, searching for optimal coalition structures (i.e. where the sum of subsets' worth i s maximal) is a well-known NP-hard combinatorial optimiza- tion problem. While existing algorithms (either deterministic or stochastic) deal with time-invariant goal functions, th e fo- cus here is on dynamic settings, where the worth of agent sub- sets possibly varies over time in an unknown and unpredictable fashion. The aim is to design an adaptive dynamic process gen- erating coalition structures with high worth most of the times. To this end, detecting variations in the worth of agent sub- sets becomes crucial. The proposed method takes into account such (possible) changes by intensifying the exploration activity whenever they are detected. The performance with respect to the worth of optimal coalition structures is evaluated thro ugh simulations.

[1]  Kristina Lerman,et al.  Coalition formation for large-scale electronic markets , 2000, Proceedings Fourth International Conference on MultiAgent Systems.

[2]  Christian Blum,et al.  Metaheuristics in combinatorial optimization: Overview and conceptual comparison , 2003, CSUR.

[3]  Tuomas Sandholm,et al.  Anytime coalition structure generation: an average case study , 1999, AGENTS '99.

[4]  Katia P. Sycara,et al.  A stable and efficient buyer coalition formation scheme for e-marketplaces , 2001, AGENTS '01.

[5]  Subhash Suri,et al.  BOB: Improved winner determination in combinatorial auctions and generalizations , 2003, Artif. Intell..

[6]  Tuomas Sandholm,et al.  Distributed rational decision making , 1999 .

[7]  Matthias Klusch,et al.  Trusted kernel-based coalition formation , 2005, AAMAS '05.

[8]  Ronald L. Graham,et al.  Concrete mathematics - a foundation for computer science , 1991 .

[9]  I. Gilboa,et al.  Global games , 1991 .

[10]  Katia P. Sycara,et al.  Algorithm for combinatorial coalition formation and payoff division in an electronic marketplace , 2002, AAMAS '02.

[11]  Sandip Sen,et al.  Searching for optimal coalition structures , 2000, Proceedings Fourth International Conference on MultiAgent Systems.

[12]  Jean Berger,et al.  Distributed Intelligent Systems , 2008 .

[13]  Matthias Klusch,et al.  Dynamic Coalition Formation among Rational Agents , 2002, IEEE Intell. Syst..

[14]  Sarit Kraus,et al.  Feasible Formation of Coalitions Among Autonomous Agents in Nonsuperadditive Environments , 1999, Comput. Intell..

[15]  R. Myerson Values of games in partition function form , 1977 .

[16]  Onn Shehory,et al.  Coalition structure generation with worst case guarantees , 2022 .

[17]  Nicholas R. Jennings,et al.  Coalition Structure Generation in Task-Based Settings , 2006, ECAI.

[18]  Luciano Bononi,et al.  An Adaptive Load Balancing Middleware for Distributed Simulation , 2006, ISPA Workshops.

[19]  Guillermo Ricardo Simari,et al.  Multiagent systems: a modern approach to distributed artificial intelligence , 2000 .

[20]  Maria Ganzha,et al.  Distributed Intelligent Systems , 2008, Scalable Comput. Pract. Exp..

[21]  Sarit Kraus,et al.  Methods for Task Allocation via Agent Coalition Formation , 1998, Artif. Intell..