Conservation of energy in value theory |
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Authors: | K Michael Ortmann |
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Institution: | (1) Homburger Str. 14, D-50969 Köln, Germany |
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Abstract: | The potential approach of value theory is extended with respect to a new characterizing property called conservation giving a clear interpretation of the potential. Many analogues between game theory and physics are presented. Particularly, there is a theorem of conservation of energy analogous to the highly important one in classical mechanics. Moreover, the Shapley-Value gets a new interpretation as the marginal contribution to a certain average in contrast to that as an average marginal contribution instead. The Banzhaf-Index can also be uniquely characterized by this approach. Finally, all results are extended to games with a continuum of players of finitely many types.Initiated in January 1995 at the Institute of Mathematical Economics, University of Bielefeld, 33501 Bielefeld, GermanyThanks to the anonymous referee for helpful comments. |
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Keywords: | Shapley-Value Banzhaf-Index potential conservation energie |
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