
handle: 11245/1.382554
The author considers the consistency properties of the solutions to the cost sharing problem. The article begins with an overview of the literature and previous results followed by a summary of the cost sharing model. The author then defines the idea of consistency of the cost sharing solutions and its relation to reduction maps. Several properties of consistency are presented and proven. The fourth section presents the two main characterization properties, namely additivity and constant returns, and their relationship with regards to consistency is explored. The article concludes with an annex containing the proofs of several very interesting lemmas.
(parametric) rationing, Mathematics(all), additivity, 330, Cooperative games, cost sharing, resource allocation, mechanism, Management Science and Operations Research, Software, Resource and cost allocation (including fair division, apportionment, etc.)
(parametric) rationing, Mathematics(all), additivity, 330, Cooperative games, cost sharing, resource allocation, mechanism, Management Science and Operations Research, Software, Resource and cost allocation (including fair division, apportionment, etc.)
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 4 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
