• Corpus ID: 246824065

1-convex extensions of incomplete cooperative games and the average value

@inproceedings{Bok20211convexEO,
  title={1-convex extensions of incomplete cooperative games and the average value},
  author={Jan Bok and Martin vCern'y},
  year={2021}
}
The model of incomplete cooperative games incorporates uncertainty into the classical model of cooperative games by considering a partial characteristic function. Thus the values for some of the coalitions are not known. The main focus of this paper is the class of 1-convex cooperative games under this framework. We are interested in two heavily intertwined questions. First, given an incomplete game, in which ways can we fill in the missing values to obtain a classical 1-convex game? Such… 
Positivity and convexity in incomplete cooperative games
TLDR
A systematic study of incomplete games, focusing on two important classes of cooperative games: positive and convex games, and provides a characterisation of extendability and a full description of the set of symmetric convex extensions.

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