A bargaining set for monotonic simple games based on external and internal stability

E.A. Lazarova; P.E.M. Borm; M.P. Montero; J.H. Reijnierse

doi:10.1007/s11750-009-0079-2

A bargaining set for monotonic simple games based on external and internal stability

E.A. Lazarova, P.E.M. Borm, M.P. Montero, J.H. Reijnierse

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

1 Citation (Scopus)

Abstract

A new bargaining set based on notions of both internal and external stability is developed in the context of endogenous coalition formation. It allows one to make an explicit distinction between within-group and outside-group deviation options. This type of distinction is not present in current bargaining sets. For the class of monotonic proper simple games, the outcomes in the bargaining set are characterized. Furthermore, it is shown that the bargaining set of any homogeneous weighted majority game contains an outcome for which the underlying coalition structure consists of a minimal winning coalition and its complement.

Original language	English
Pages (from-to)	54-66
Journal	Top
Volume	19
Issue number	1
DOIs	https://doi.org/10.1007/s11750-009-0079-2
Publication status	Published - 2011

Access to Document

10.1007/s11750-009-0079-2

http://www.springerlink.com/content/10n6228301k43m24/

Fingerprint Dive into the research topics of 'A bargaining set for monotonic simple games based on external and internal stability'. Together they form a unique fingerprint.

Cite this

Lazarova, E. A., Borm, P. E. M., Montero, M. P., & Reijnierse, J. H. (2011). A bargaining set for monotonic simple games based on external and internal stability. Top, 19(1), 54-66. https://doi.org/10.1007/s11750-009-0079-2

@article{816835ea832d4b4b9bcbc35ab3b96ac0,

title = "A bargaining set for monotonic simple games based on external and internal stability",

abstract = "A new bargaining set based on notions of both internal and external stability is developed in the context of endogenous coalition formation. It allows one to make an explicit distinction between within-group and outside-group deviation options. This type of distinction is not present in current bargaining sets. For the class of monotonic proper simple games, the outcomes in the bargaining set are characterized. Furthermore, it is shown that the bargaining set of any homogeneous weighted majority game contains an outcome for which the underlying coalition structure consists of a minimal winning coalition and its complement.",

author = "E.A. Lazarova and P.E.M. Borm and M.P. Montero and J.H. Reijnierse",

note = "Appeared earlier as CentER DP 2006-16 (rt)",

year = "2011",

doi = "10.1007/s11750-009-0079-2",

language = "English",

volume = "19",

pages = "54--66",

journal = "Top ",

issn = "1134-5764",

publisher = "Springer Verlag",

number = "1",

}

TY - JOUR

T1 - A bargaining set for monotonic simple games based on external and internal stability

AU - Lazarova, E.A.

AU - Borm, P.E.M.

AU - Montero, M.P.

AU - Reijnierse, J.H.

N1 - Appeared earlier as CentER DP 2006-16 (rt)

PY - 2011

Y1 - 2011

N2 - A new bargaining set based on notions of both internal and external stability is developed in the context of endogenous coalition formation. It allows one to make an explicit distinction between within-group and outside-group deviation options. This type of distinction is not present in current bargaining sets. For the class of monotonic proper simple games, the outcomes in the bargaining set are characterized. Furthermore, it is shown that the bargaining set of any homogeneous weighted majority game contains an outcome for which the underlying coalition structure consists of a minimal winning coalition and its complement.

AB - A new bargaining set based on notions of both internal and external stability is developed in the context of endogenous coalition formation. It allows one to make an explicit distinction between within-group and outside-group deviation options. This type of distinction is not present in current bargaining sets. For the class of monotonic proper simple games, the outcomes in the bargaining set are characterized. Furthermore, it is shown that the bargaining set of any homogeneous weighted majority game contains an outcome for which the underlying coalition structure consists of a minimal winning coalition and its complement.

U2 - 10.1007/s11750-009-0079-2

DO - 10.1007/s11750-009-0079-2

M3 - Article

VL - 19

SP - 54

EP - 66

JO - Top

JF - Top

SN - 1134-5764

IS - 1

ER -