A Necessary and Sufficient Condition for Non-Emptiness of the Core of a Partition Function Form Game

Takaaki Abe () and Yukihiko Funaki ()
Additional contact information
Takaaki Abe: Graduate School of Economics, Waseda University

No 1502, Working Papers from Waseda University, Faculty of Political Science and Economics

Abstract: The purpose of this paper is to provide a necessary and sufficient condition for nonempty core in partition function form games. We generalize the Bondareva-Shapley condition for partition function form games and present the existence conditions for the pessimistic core and the optimistic core. In addition, we study the condition for the core defined by exogenously provided partitions. The balanced collections in partition function form and some applications are also discussed.

Keywords: Cooperative games; Partition function; Core; Externalities (search for similar items in EconPapers)
JEL-codes: C71 (search for similar items in EconPapers)
Pages: 20 pages
Date: 2015-05
New Economics Papers: this item is included in nep-gth
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.waseda.jp/fpse/winpec/assets/uploads/2015/07/No.E1502Abe_Funaki.pdf First version, (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wap:wpaper:1502

Access Statistics for this paper

More papers in Working Papers from Waseda University, Faculty of Political Science and Economics Contact information at EDIRC.
Bibliographic data for series maintained by Haruko Noguchi ().