Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/227825 
Year of Publication: 
2019
Series/Report no.: 
Center for Mathematical Economics Working Papers No. 629
Publisher: 
Bielefeld University, Center for Mathematical Economics (IMW), Bielefeld
Abstract: 
This volume is a monograph on the geometric structure of a certain class of ("comprehensive") compact polyhedra called Cephoids. A Cephoid is a Minkowski sum of finitely many standardized simplices. The emphasis rests on the Pareto surface of Cephoids which consists of certain translates of simplices, algebraic sums of subsimplices etc. Cephoids appear in Operations Research (Optimization), in Mathematical Economics (Free Trade theory), and in Cooperative Game Theory. In particular, in the context of Cooperative Game Theory the notions of a Cephoid serves to construct "solutions" or "values" for bargaining problems and non-side payment games.
Persistent Identifier of the first edition: 
Document Type: 
Working Paper

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