@techreport{9a3808b16da142fcb9f801646c9a82d8,

title = "A Dual Description of the Class of Games with a Population Monotonic Allocation Scheme",

abstract = "A vector of balanced weights infers an inequality that games with a nonempty core obey.This paper gives a generalization of the notion `vector of balanced weights'.Herewith it provides necessary and sufficient conditions to determine whether a TU-game has a population monotonic allocation scheme or not. Furthermore it shows that every 4-person integer valued game with a population monotonic allocation scheme has an integer valued population monotonic allocation scheme and it gives an example of a 7-person integer valued game that has only non-integer valued population monotonic allocation schemes.",

keywords = "game theory",

author = "H.W. Norde and J.H. Reijnierse",

note = "Pagination: 14",

year = "2000",

language = "English",

volume = "2000-99",

series = "CentER Discussion Paper",

publisher = "Microeconomics",

type = "WorkingPaper",

institution = "Microeconomics",

}