@techreport{eaa5e42b90964a599cfd0ff02c8b33bf,

title = "A Note on Permutationally Convex Games",

abstract = "In this paper we generalise marginal vectors and permutational convexity.We show that if a game is generalised permutationally convex, then the corresponding generalised marginal vector is a core element.Furthermore we refine the concept of permutational convexity and show that this refinement yields a sufficient condition for the corresponding marginal vector to be a core element.Finally, we prove that permutational convexity is equivalent to a restricted set of inequalities and that if a game is permutationally convex with respect to an order, then it is permutationally convex with respect to a related order as well.",

keywords = "Cooperative game theory, marginal vectors, permutational convexity",

author = "{van Velzen}, S. and H.J.M. Hamers and H.W. Norde",

note = "Pagination: 18",

year = "2005",

language = "English",

volume = "2005-83",

series = "CentER Discussion Paper",

publisher = "Operations research",

type = "WorkingPaper",

institution = "Operations research",

}