Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/43780 
Authors: 
Year of Publication: 
2010
Series/Report no.: 
Working Papers No. 430
Publisher: 
Bielefeld University, Institute of Mathematical Economics (IMW), Bielefeld
Abstract: 
We prove that every transferable utility (TU) game can be generated by a coalition production economy. Given a TU game, the set of Walrasian payoff vectors of the induced coalition production economy coincides with the core of the balanced cover of the given game. Therefore, a Walrasian equilibrium for the induced coalition production economy always exists. The induced coalition production economy has one output and the same number of inputs as agents. Every input is personalized and it can be interpreted as agent's labor. In a Walrasian equilibrium, every agent is permitted to work at several firms. In a Walrasian equilibrium without double-jobbing, in contrast, every agent has to work at exactly one firm. This restricted concept of a Walrasian equilibrium enables us to discuss which coalitions are formed in an equilibrium. If the cohesive cover or the completion of a given TU game is balanced, then the no-double-jobbing restriction does not matter, i.e., there exists no difference between Walrasian payoff vectors and Walrasian payoff vectors without double-jobbing.
Subjects: 
coalition production economy
transferable utility game
core
Walrasian equilibrium
Walrasian equilibrium without double-jobbing
coalition structure
JEL: 
D51
C71
C62
Persistent Identifier of the first edition: 
Document Type: 
Working Paper

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