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# Stable governments and the semistrict core

Dimitrov D, Haake C-J (2006)
IMW working papers, Bielefeld: Universität Bielefeld.
231.50 KB
Working Paper | Published | English

Authors
; UniBi
Department
Institut für mathematische Wirtschaftsforschung
Abstract

We consider the class of proper monotonic simple games and study coalition formation when an exogenous weight vector and a solution concept are combined to guide the distribution power within winning coalitions. These distributions induce players' preferences over coalitions in a hedonic game. We formalize the notion of semistrict core stability, which is stronger than the standard core concept but weaker than the strict core notion and derive two characterization results for the semistrict core, dependent on conditions we impose on the solution concept. It turns out that a bounded power condition, which connects exogenous weights and the solution, is crucial. It generalizes a condition termed "absence of the paradox of smaller coalitions" that was previously used to derive core existence results.

Keywords
Simple games ; Coalition formation ; Semistrict core ; Winning coalitions
Year
2006
ISSN
0931-6558
File Name
378neu.pdf 231.50 KB
Access Level
Open Access

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##### Cite this
Dimitrov D, Haake C-J. Stable governments and the semistrict core. IMW working papers. Bielefeld: Universität Bielefeld; 2006.
Dimitrov, D., & Haake, C. - J. (2006). Stable governments and the semistrict core (IMW working papers) . Bielefeld: Universität Bielefeld.
Dimitrov, D., and Haake, C. - J. (2006). Stable governments and the semistrict core. IMW working papers, Bielefeld: Universität Bielefeld.
Dimitrov, D., & Haake, C.-J., 2006. Stable governments and the semistrict core, IMW working papers, Bielefeld: Universität Bielefeld.
D. Dimitrov and C.-J. Haake, Stable governments and the semistrict core, IMW working papers, Bielefeld: Universität Bielefeld, 2006.
Dimitrov, D., Haake, C.-J.: Stable governments and the semistrict core. IMW working papers. Universität Bielefeld, Bielefeld (2006).
Dimitrov, Dinko, and Haake, Claus-Jochen. Stable governments and the semistrict core. Bielefeld: Universität Bielefeld, 2006. IMW working papers.
@misc{2315530,
abstract     = {We consider the class of proper monotonic simple games and study coalition formation when an exogenous weight vector and a solution concept are combined to guide the distribution power within winning coalitions. These distributions induce players' preferences over coalitions in a hedonic game. We formalize the notion of semistrict core stability, which is stronger than the standard core concept but weaker than the strict core notion and derive two characterization results for the semistrict core, dependent on conditions we impose on the solution concept. It turns out that a bounded power condition, which connects exogenous weights and the solution, is crucial. It generalizes a condition termed {\textacutedbl}absence of the paradox of smaller coalitions{\textacutedbl} that was previously used to derive core existence results.},
author       = {Dimitrov, Dinko and Haake, Claus-Jochen},
issn         = {0931-6558},
language     = {English},
number       = {378},
publisher    = {Universit{\"a}t Bielefeld},
title        = {Stable governments and the semistrict core},
url          = {http://www.imw.uni-bielefeld.de/papers/files/imw-wp-378.pdf},
year         = {2006},
}


TY  - GEN
AB  - We consider the class of proper monotonic simple games and study coalition formation when an exogenous weight vector and a solution concept are combined to guide the distribution power within winning coalitions. These distributions induce players' preferences over coalitions in a hedonic game. We formalize the notion of semistrict core stability, which is stronger than the standard core concept but weaker than the strict core notion and derive two characterization results for the semistrict core, dependent on conditions we impose on the solution concept. It turns out that a bounded power condition, which connects exogenous weights and the solution, is crucial. It generalizes a condition termed "absence of the paradox of smaller coalitions" that was previously used to derive core existence results.
AU  - Dimitrov, Dinko
AU  - Haake, Claus-Jochen
ID  - 2315530
IS  - 378
KW  - Simple games
KW  - Coalition formation
KW  - Semistrict core
KW  - Winning coalitions
PB  - Universität Bielefeld
PY  - 2006
SN  - 0931-6558
TI  - Stable governments and the semistrict core
U3  - PUB:ID 2315530
UR  - http://nbn-resolving.de/urn:nbn:de:hbz:361-9850
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