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

Peter H. Knudsen
, Lars Peter Østerdal

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

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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.",

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year = "2012",

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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

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JF - International Journal of Game Theory

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ER -