Coalition Structure Generation over Graphs

We give the analysis of the computational complexity of coalition structure generation over graphs. Given an undirected graph

[1]  Gabrielle Demange,et al.  On Group Stability in Hierarchies and Networks , 2004, Journal of Political Economy.

[2]  Makoto Yokoo,et al.  Concise Characteristic Function Representations in Coalitional Games Based on Agent Types , 2011, IJCAI.

[3]  Nicholas R. Jennings,et al.  An improved dynamic programming algorithm for coalition structure generation , 2008, AAMAS.

[4]  W. Sierpinski,et al.  Sur le probléme des courbes gauches en Topologie , 2022 .

[5]  J. Hopcroft,et al.  Algorithm 447: efficient algorithms for graph manipulation , 1973, CACM.

[6]  Yoav Shoham,et al.  Marginal contribution nets: a compact representation scheme for coalitional games , 2005, EC '05.

[7]  E. Balas,et al.  Set Partitioning: A survey , 1976 .

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

[9]  Piotr Faliszewski,et al.  Constrained Coalition Formation , 2011, AAAI.

[10]  Ulrik Brandes,et al.  On Modularity Clustering , 2008, IEEE Transactions on Knowledge and Data Engineering.

[11]  Kyomin Jung,et al.  Coalitional Structure Generation in Skill Games , 2010, AAAI.

[12]  K. Wagner Über eine Eigenschaft der ebenen Komplexe , 1937 .

[13]  Paul D. Seymour,et al.  Graph Minors: XV. Giant Steps , 1996, J. Comb. Theory, Ser. B.

[14]  Helena Keinänen,et al.  Simulated Annealing for Multi-agent Coalition Formation , 2009, KES-AMSTA.

[15]  Sarvapali D. Ramchurn,et al.  An Anytime Algorithm for Optimal Coalition Structure Generation , 2014, J. Artif. Intell. Res..

[16]  Stefano Ferilli,et al.  Coalition Structure Generation with GRASP , 2010, AIMSA.

[17]  P. Stănică GOOD LOWER AND UPPER BOUNDS ON BINOMIAL COEFFICIENTS , 2001 .

[18]  Ronald M. Harstad,et al.  Computationally Manageable Combinational Auctions , 1998 .

[19]  Boi Faltings,et al.  A Scalable Method for Multiagent Constraint Optimization , 2005, IJCAI.

[20]  T. Arad,et al.  Voice , 2005 .

[21]  Vincent Conitzer,et al.  Coalition Structure Generation Utilizing Compact Characteristic Function Representations , 2009, CP.

[22]  Vincent Conitzer,et al.  Complexity of constructing solutions in the core based on synergies among coalitions , 2006, Artif. Intell..

[23]  Celso C. Ribeiro,et al.  Greedy Randomized Adaptive Search Procedures , 2003, Handbook of Metaheuristics.

[24]  Hans L. Bodlaender,et al.  A Partial k-Arboretum of Graphs with Bounded Treewidth , 1998, Theor. Comput. Sci..

[25]  Avrim Blum,et al.  Correlation Clustering , 2004, Machine Learning.

[26]  Paul D. Seymour,et al.  Graph Minors. XX. Wagner's conjecture , 2004, J. Comb. Theory B.

[27]  Nicholas R. Jennings,et al.  Overlapping Coalition Formation for Efficient Data Fusion in Multi-Sensor Networks , 2006, AAAI.

[28]  Eugene L. Lawler,et al.  Linear-Time Computation of Optimal Subgraphs of Decomposable Graphs , 1987, J. Algorithms.

[29]  Mauricio G. C. Resende,et al.  Greedy Randomized Adaptive Search Procedures , 1995, J. Glob. Optim..

[30]  Nicholas R. Jennings,et al.  Coalition Structure Generation : Dynamic Programming Meets Anytime Optimization , 2008 .

[31]  Neil Robertson,et al.  Graph Minors .XIII. The Disjoint Paths Problem , 1995, J. Comb. Theory B.

[32]  Katia P. Sycara,et al.  Customer coalitions in the electronic marketplace , 2000, AGENTS '00.

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

[34]  R. Tarjan,et al.  A Separator Theorem for Planar Graphs , 1977 .

[35]  Xiao Xin,et al.  An FPT Algorithm for the Correlation Clustering Problem , 2011 .

[36]  Alun D. Preece,et al.  Agent-based formation of virtual organisations , 2004, Knowl. Based Syst..

[37]  Victor R. Lesser,et al.  Coalitions Among Computationally Bounded Agents , 1997, Artif. Intell..

[38]  Robin Thomas,et al.  A separator theorem for graphs with an excluded minor and its applications , 1990, STOC '90.

[39]  Nicholas R. Jennings,et al.  Generating coalition structures with finite bound from the optimal guarantees , 2004, Proceedings of the Third International Joint Conference on Autonomous Agents and Multiagent Systems, 2004. AAMAS 2004..

[40]  Vincent Conitzer,et al.  A Compact Representation Scheme for Coalitional Games in Open Anonymous Environments , 2006, AAAI.

[41]  Wei-Min Shen,et al.  Distributed constraint optimization for multiagent systems , 2003 .

[42]  Xiaotie Deng,et al.  On the Complexity of Cooperative Solution Concepts , 1994, Math. Oper. Res..

[43]  Makoto Yokoo,et al.  Coalition Structure Generation based on Distributed Constraint Optimization , 2010, AAAI.

[44]  Haris Aziz,et al.  Complexity of coalition structure generation , 2011, AAMAS.

[45]  Nicholas R. Jennings,et al.  An algorithm for distributing coalitional value calculations among cooperating agents , 2007, Artif. Intell..

[46]  Morteza Zadimoghaddam,et al.  Optimal Coalition Structures in Graph Games , 2011, ArXiv.

[47]  Paul D. Seymour,et al.  Graph minors. I. Excluding a forest , 1983, J. Comb. Theory, Ser. B.

[48]  J. Hopcroft,et al.  Efficient algorithms for graph manipulation , 1971 .

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

[50]  Zhang Wei-ming,et al.  Methods for resource allocation via agent coalition formation in grid computing systems , 2003, IEEE International Conference on Robotics, Intelligent Systems and Signal Processing, 2003. Proceedings. 2003.