Mollifiers for Games in Normal Form and the Harsanyi-Selten Valuation Function.
Abstract
The concepts of disruption and mollifiers of Charnes, Rousseau and Seiford 1978 for games in characteristics function form are here extended to games in normal form. We show for a large class of games that the Harsanyi-Selten 1959 modification of von Neumann-Morgenstern's 1953 construction of a characteristic function for games in normal form to take better account of 'disruption' or 'threat' possibilities yields a constant mollifier. In general,it can be non-superadditive when the von Neumann-Morgenstern function is superadditive, and it also fails to take account of coalitional sizes. Our extended 'homomollifier' concept does and always yields a superadditive constant sum characteristic function. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1979
- Accession Number
- ADA080455
Entities
People
- Abraham Charnes
- J. Rousseau
- L. Seiford
Organizations
- University of Texas at Austin