Title
Algorithms for Graph-Constrained Coalition Formation in the Real World.
Abstract
Coalition formation typically involves the coming together of multiple, heterogeneous, agents to achieve both their individual and collective goals. In this article, we focus on a special case of coalition formation known as Graph-Constrained Coalition Formation (GCCF) whereby a network connecting the agents constrains the formation of coalitions. We focus on this type of problem given that in many real-world applications, agents may be connected by a communication network or only trust certain peers in their social network. We propose a novel representation of this problem based on the concept of edge contraction, which allows us to model the search space induced by the GCCF problem as a rooted tree. Then, we propose an anytime solution algorithm (Coalition Formation for Sparse Synergies (CFSS)), which is particularly efficient when applied to a general class of characteristic functions called m + a functions. Moreover, we show how CFSS can be efficiently parallelised to solve GCCF using a nonredundant partition of the search space. We benchmark CFSS on both synthetic and realistic scenarios, using a real-world dataset consisting of the energy consumption of a large number of households in the UK. Our results show that, in the best case, the serial version of CFSS is four orders of magnitude faster than the state of the art, while the parallel version is 9.44 times faster than the serial version on a 12-core machine. Moreover, CFSS is the first approach to provide anytime approximate solutions with quality guarantees for very large systems of agents (i.e., with more than 2,700 agents).
Year
DOI
Venue
2017
10.1145/3040967
ACM TIST
Keywords
DocType
Volume
Coalition formation,networks,graphs,collective energy purchasing
Journal
abs/1612.04299
Issue
ISSN
Citations 
4
ACM Transactions on Intelligent Systems and Technology, 2017, Volume 8, Issue 4
3
PageRank 
References 
Authors
0.40
12
5
Name
Order
Citations
PageRank
Filippo Bistaffa1428.28
Alessandro Farinelli266774.16
Jesus Cerquides328027.74
Juan A. Rodríguez-aguilar41772137.55
sarvapali d ramchurn52239161.28