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Home / Proceedings / Proceedings of the AAAI Conference on Artificial Intelligence, 24 / No. 1: Twenty-Fourth AAAI Conference on Artificial Intelligence

Coalitional Structure Generation in Skill Games

March 8, 2023

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Authors

Yoram Bachrach

Microsoft Research


Reshef Meir

Hebrew University


Kyomin Jung

KAIST


Pushmeet Kohli

Microsoft


DOI:

10.1609/aaai.v24i1.7620


Abstract:

We consider optimizing the coalition structure in Coalitional Skill Games (CSGs), a succinct representation of coalitional games. In CSGs, the value of a coalition depends on the tasks its members can achieve. The tasks require various skills to complete them, and agents may have different skill sets. The optimal coalition structure is a partition of the agents to coalitions, that maximizes the sum of utilities obtained by the coalitions. We show that CSGs can represent any characteristic function, and consider optimal coalition structure generation in this representation. We provide hardness results, showing that in general CSGs, as well as in very restricted versions of them, computing the optimal coalition structure is hard. On the positive side, we show that the problem can be reformulated as constraint satisfaction on a hyper graph, and present an algorithm that finds the optimal coalition structure in polynomial time for instances with bounded tree-width and number of tasks.

Topics: AAAI

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HOW TO CITE:

Yoram Bachrach|| Reshef Meir|| Kyomin Jung|| Pushmeet Kohli Coalitional Structure Generation in Skill Games Proceedings of the AAAI Conference on Artificial Intelligence, 24 (2010) 703.

Yoram Bachrach|| Reshef Meir|| Kyomin Jung|| Pushmeet Kohli Coalitional Structure Generation in Skill Games AAAI 2010, 703.

Yoram Bachrach|| Reshef Meir|| Kyomin Jung|| Pushmeet Kohli (2010). Coalitional Structure Generation in Skill Games. Proceedings of the AAAI Conference on Artificial Intelligence, 24, 703.

Yoram Bachrach|| Reshef Meir|| Kyomin Jung|| Pushmeet Kohli. Coalitional Structure Generation in Skill Games. Proceedings of the AAAI Conference on Artificial Intelligence, 24 2010 p.703.

Yoram Bachrach|| Reshef Meir|| Kyomin Jung|| Pushmeet Kohli. 2010. Coalitional Structure Generation in Skill Games. "Proceedings of the AAAI Conference on Artificial Intelligence, 24". 703.

Yoram Bachrach|| Reshef Meir|| Kyomin Jung|| Pushmeet Kohli. (2010) "Coalitional Structure Generation in Skill Games", Proceedings of the AAAI Conference on Artificial Intelligence, 24, p.703

Yoram Bachrach|| Reshef Meir|| Kyomin Jung|| Pushmeet Kohli, "Coalitional Structure Generation in Skill Games", AAAI, p.703, 2010.

Yoram Bachrach|| Reshef Meir|| Kyomin Jung|| Pushmeet Kohli. "Coalitional Structure Generation in Skill Games". Proceedings of the AAAI Conference on Artificial Intelligence, 24, 2010, p.703.

Yoram Bachrach|| Reshef Meir|| Kyomin Jung|| Pushmeet Kohli. "Coalitional Structure Generation in Skill Games". Proceedings of the AAAI Conference on Artificial Intelligence, 24, (2010): 703.

Yoram Bachrach|| Reshef Meir|| Kyomin Jung|| Pushmeet Kohli. Coalitional Structure Generation in Skill Games. AAAI[Internet]. 2010[cited 2023]; 703.


ISSN: 2374-3468


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