The Hart-and-Mas-Colell bargaining model [Hart and Mas-Colell (2010). “Bargaining and Cooperation in Strategic Form Games.” Journal of the European Economics Association, 8, 7-33], which is based on strategic form games, is a very promising model possessing many beautiful features....

Shapley (1955) introduced the model of an abstract market game as a generalization of the assignment game model, among several other models. He conjectured that abstract market games possess non-empty cores. We analyze properties of abstract market games and provide a proof of this conjecture...