Semi-Values of Political Economic Games.
STANFORD UNIV CA INST FOR MATHEMATICAL STUDIES IN THE SOCIAL SCIENCES
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Semi-values are defined in Dubey and Weber 1981 where characterization of the semi-values is given for two basic spaces the space of all finite games, and the space of differentiable non-atomic games, i.e., pNA. In the purely economic situation, we usually encounter games in pNA or in pNAD but in many political economic situations, as in the Aumann-Kurz models of power and taxation 1977A, 1977B, we face games which are the products of weighted majority games by games in pNA. These games are members of other spaces which contain pNA and which we will refer to as spaces of political economic games. In this paper, we will characterize all semi-values on spaces of political economic games. Section 3 presents a characterization of all continuous semi-values on a typical class of political economic games, followed by a detailed proof. in Section 4, we introduce further results without proofs. Author
- Economics and Cost Analysis
- Government and Political Science
- Numerical Mathematics