On (non-) monotonicity of cooperative solutions

Yair Tauman; Andriy Zapechelnyuk

doi:10.1007/s00182-009-0196-z

On (non-) monotonicity of cooperative solutions

Yair Tauman, Andriy Zapechelnyuk^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

Aggregate monotonicity of cooperative solutions is widely accepted as a desirable property, and examples where certain solution concepts (such as the nucleolus) violate this property are scarce and have no economic interpretation. We provide an example of a simple four-player game that points out at a class of economic contexts where aggregate monotonicity is not appealing.

Original language	English
Pages (from-to)	171-175
Number of pages	5
Journal	International Journal of Game Theory
Volume	39
Issue number	1
DOIs	https://doi.org/10.1007/s00182-009-0196-z
Publication status	Published - Mar 2010

Keywords

Aggregate monotonicity
Axiomatic solution
Cooperative games
Core
Nucleolus
Shapley value

Access to Document

10.1007/s00182-009-0196-z

Cite this

@article{f257e65e21e24405a85d550f1b2e7f0e,

title = "On (non-) monotonicity of cooperative solutions",

abstract = "Aggregate monotonicity of cooperative solutions is widely accepted as a desirable property, and examples where certain solution concepts (such as the nucleolus) violate this property are scarce and have no economic interpretation. We provide an example of a simple four-player game that points out at a class of economic contexts where aggregate monotonicity is not appealing.",

keywords = "Aggregate monotonicity, Axiomatic solution, Cooperative games, Core, Nucleolus, Shapley value",

author = "Yair Tauman and Andriy Zapechelnyuk",

year = "2010",

month = mar,

doi = "10.1007/s00182-009-0196-z",

language = "English",

volume = "39",

pages = "171--175",

journal = "International Journal of Game Theory",

issn = "0020-7276",

publisher = "Springer-Verlag",

number = "1",

}

TY - JOUR

T1 - On (non-) monotonicity of cooperative solutions

AU - Tauman, Yair

AU - Zapechelnyuk, Andriy

PY - 2010/3

Y1 - 2010/3

N2 - Aggregate monotonicity of cooperative solutions is widely accepted as a desirable property, and examples where certain solution concepts (such as the nucleolus) violate this property are scarce and have no economic interpretation. We provide an example of a simple four-player game that points out at a class of economic contexts where aggregate monotonicity is not appealing.

AB - Aggregate monotonicity of cooperative solutions is widely accepted as a desirable property, and examples where certain solution concepts (such as the nucleolus) violate this property are scarce and have no economic interpretation. We provide an example of a simple four-player game that points out at a class of economic contexts where aggregate monotonicity is not appealing.

KW - Aggregate monotonicity

KW - Axiomatic solution

KW - Cooperative games

KW - Core

KW - Nucleolus

KW - Shapley value

UR - http://www.scopus.com/inward/record.url?scp=77149156311&partnerID=8YFLogxK

U2 - 10.1007/s00182-009-0196-z

DO - 10.1007/s00182-009-0196-z

M3 - Article

AN - SCOPUS:77149156311

SN - 0020-7276

VL - 39

SP - 171

EP - 175

JO - International Journal of Game Theory

JF - International Journal of Game Theory

IS - 1

ER -

On (non-) monotonicity of cooperative solutions

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this