Merging and Splitting in Cooperative Games: Some (Im)Possibility Results

Peter H. Knudsen; Lars Peter Østerdal

doi:10.1007/s00182-012-0337-7

Merging and Splitting in Cooperative Games: Some (Im)Possibility Results

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

Allocation rules for cooperative games can be manipulated by coalitions merging into single players, or, conversely, players splitting into a number of smaller units. This paper collects some (im)possibility results on merging- and splitting-proofness of (core) allocation rules for cooperative games with side-payments.

Original language	English
Journal	International Journal of Game Theory
Volume	41
Issue number	4
Pages (from-to)	763–774
ISSN	0020-7276
DOIs	https://doi.org/10.1007/s00182-012-0337-7
Publication status	Published - 2012
Externally published	Yes

Keywords

Cooperative games
Manipulation
Merging
Splitting
Fujishige-Dutta-Ray allocation rule

Access to Document

10.1007/s00182-012-0337-7Licence: Unspecified

Cite this

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title = "Merging and Splitting in Cooperative Games: Some (Im)Possibility Results",

abstract = "Allocation rules for cooperative games can be manipulated by coalitions merging into single players, or, conversely, players splitting into a number of smaller units. This paper collects some (im)possibility results on merging- and splitting-proofness of (core) allocation rules for cooperative games with side-payments.",

keywords = "Cooperative games, Manipulation, Merging, Splitting, Fujishige-Dutta-Ray allocation rule, Cooperative games, Manipulation, Merging, Splitting, Fujishige-Dutta-Ray allocation rule",

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year = "2012",

doi = "10.1007/s00182-012-0337-7",

language = "English",

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journal = "International Journal of Game Theory",

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AU - Knudsen, Peter H.

AU - Østerdal, Lars Peter

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AB - Allocation rules for cooperative games can be manipulated by coalitions merging into single players, or, conversely, players splitting into a number of smaller units. This paper collects some (im)possibility results on merging- and splitting-proofness of (core) allocation rules for cooperative games with side-payments.

KW - Cooperative games

KW - Manipulation

KW - Merging

KW - Splitting

KW - Fujishige-Dutta-Ray allocation rule

KW - Cooperative games

KW - Manipulation

KW - Merging

KW - Splitting

KW - Fujishige-Dutta-Ray allocation rule

U2 - 10.1007/s00182-012-0337-7

DO - 10.1007/s00182-012-0337-7

M3 - Journal article

VL - 41

SP - 763

EP - 774

JO - International Journal of Game Theory

JF - International Journal of Game Theory

SN - 0020-7276

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ER -