A Dual Description of the Class of Games with a Population Monotonic Allocation Scheme

H.W. Norde, J.H. Reijnierse

Research output: Working paperDiscussion paperOther research output

237 Downloads (Pure)

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.
Original languageEnglish
Place of PublicationTilburg
PublisherMicroeconomics
Number of pages14
Volume2000-99
Publication statusPublished - 2000

Publication series

NameCentER Discussion Paper
Volume2000-99

Keywords

  • game theory

Cite this

Norde, H. W., & Reijnierse, J. H. (2000). A Dual Description of the Class of Games with a Population Monotonic Allocation Scheme. (CentER Discussion Paper; Vol. 2000-99). Microeconomics.