Paths and consistency in additive cost sharing
نویسندگان
چکیده
منابع مشابه
Paths and consistency in additive cost sharing
Using a new representation theorem for additive cost sharing methods as sums of path methods, we show that many of the standard additive cost sharing methods (Aumann-Shapley, Shapley Shubik, and Serial Cost) are consistent. These results follow directly from a simple suucient condition for consistency: being generated by associative paths, which can be used to show consistency for many other me...
متن کاملPaths and Consistency in Additive Cost Sharing Eric
Using a new representation theorem for additive cost sharing methods as sums of path methods, we show that many of the standard additive cost sharing methods (Aumann-Shapley, Shapley Shubik, and Serial Cost) are consistent. These results follow directly from a simple su cient condition for consistency: being generated by associative paths, which can be used to show consistency for many other me...
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We propose two new axioms of demand responsiveness for additive cost sharing with variable demands. Group Monotonicity requires that if a group of agents increase their demands, not all of them pay less. Solidarity says that if agent i demands more, j should not pay more if k pays less. Both axioms are compatible in the partial responsibility theory postulating Strong Ranking, i.e., the ranking...
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The set of additive cost sharing methods when individual demands are integer valued and cost shares are non negative, is characterized by its extreme points and by a network flow representation. The extreme methods allocate costs incrementally along a chain of demand vectors independent of the cost function. The result generalizes Wang’s characterization in that we do not assume the Dummy axiom.
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ژورنال
عنوان ژورنال: International Journal of Games Theory
سال: 2004
ISSN: 0020-7276,1432-1270
DOI: 10.1007/s001820400173