an:05203782
Zbl 1131.91011
Wooldridge, Michael; Dunne, Paul E.
On the computational complexity of coalitional resource games
EN
Artif. Intell. 170, No. 10, 835-871 (2006).
00211707
2006
j
91A12 68Q25 68T99
coalitional games; resources; computational complexity; multi-agent systems
Summary: We study Coalitional Resource Games (CRGS), a variation of Qualitative Coalitional Games (QCGS) in which each agent is endowed with a set of resources, and the ability of a coalition to bring about a set of goals depends on whether they are collectively endowed with the necessary resources. We investigate and classify the computational complexity of a number of natural decision problems for CRGS, over and above those previously investigated for QCGS in general. For example, we show that the complexity of determining whether conflict is inevitable between two coalitions with respect to some stated resource bound (i.e., a limit value for every resource) is co-NP-complete. We then investigate the relationship between CRGS and QCGS, and in particular the extent to which it is possible to translate between the two models. We first characterise the complexity of determining equivalence between CRGS and QCGS. We then show that it is always possible to translate any given CRG into a succinct equivalent QCG, and that it is not always possible to translate a QCG into an equivalent CRG; we establish some necessary and some sufficient conditions for a translation from QCGS to CRGS to be possible, and show that even where an equivalent CRG exists, it may have size exponential in the number of goals and agents of its source QCG.