Weighted Aumann-Shapley pricing
In a typical pricing problem, a decision maker must decide how to allocate the joint cost of production among several commodities using prices. These prices must satisfy certain reasonable postulates among which is the requirement that total revenue associated with these prices must cover total cost. The authors generalize Aumann-Shapley (AS) pricing to the so-called Weighted AS pricing. All axiomatizations of AS pricing are ``symmetric'', meaning that two commodities that ``affect'' total cost in the same way will have the same price. The Weighted AS pricing allows for different pricing of commodities in a situation like that. For a survey on AS pricing, see [\textit{Y. Tauman}, The Aumann-Shapley prices: A survey. In: Roth A. (ed.) The Shapley value: Essays in Honor of Lloyd Shapley, Cambridge University Press, Cambridge, 279-304 (1988; Zbl 0708.90009)].
scientific article; zbMATH DE number 1429826