Prior Solutions: Extensions of Convex Nucleus Solutions to Chance-Constrained Games.
Abstract
The theory of n-person cooperative game in characteristic function form is extended to games with stochastic characteristic function, where the values that the characteristic function assigns to the various coalitions are random variables with given distribution functions. Based on the idea of zero order decision rules, the authors define classes of 'prior' solutions. As 'prior' solutions, they here extend the classic notions of core, Shapley value and nucleolus to these stochastic games and investigate their properties. (Modified author abstract)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1973
- Accession Number
- AD0779135
Entities
People
- Abraham Charnes
- Daniel Granot
Organizations
- University of Texas at Austin