@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",
}