@article{ffc4bfd2408b47de9ba0f62780a98d8b,
title = "Decomposing a balanced game: A necessary and sufficient condition for the nonemptiness of the core",
abstract = "The Bondareva–Shapley condition is the most eminent necessary and sufficient condition for the core of a transferable utility game to be nonempty. In this paper, we provide a new necessary and sufficient condition. We show that a game has a nonempty core if and only if the game can be decomposed into some simple games.",
keywords = "Cooperative game, Core, Decomposition",
author = "Takaaki Abe",
note = "Funding Information: The author is grateful to the anonymous referee and the editor for his/her helpful comments and constructive suggestions. The author also thanks Yukihiko Funaki for his advices. Financial support from the Japan Society for the Promotion of Science (JSPS) is gratefully acknowledged. Publisher Copyright: {\textcopyright} 2018 Elsevier B.V.",
year = "2019",
month = mar,
doi = "10.1016/j.econlet.2018.12.009",
language = "English",
volume = "176",
pages = "9--13",
journal = "Economics Letters",
issn = "0165-1765",
publisher = "Elsevier",
}