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

H.W. Norde; J.H. Reijnierse

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

H.W. Norde, J.H. Reijnierse

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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 language	English
Place of Publication	Tilburg
Publisher	Microeconomics
Number of pages	14
Volume	2000-99
Publication status	Published - 2000

Publication series

Name	CentER Discussion Paper
Volume	2000-99

Keywords

game theory

Access to Document

99

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.

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