Abstract
We introduce the concepts of joint games and compatibility. In a joint game, members of the grand coalition have the option to split and participate in different underlying games, thereby maximizing their total worths. In order to determine whether the grand coalition will remain intact, we introduce the notion of compatibility of these games. A set of games is compatible if the core of the joint game is non-empty. We find a necessary and sufficient condition for compatibility.
Original language | English |
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Pages (from-to) | 91-113 |
Number of pages | 23 |
Journal | Economic Theory |
Volume | 61 |
Issue number | 1 |
DOIs | |
State | Published - 1 Jan 2016 |
Keywords
- Compatibility
- Concave integral
- Cooperative games
- Core
- Joint game