Incremental cost sharing: Characterization by coalition strategy-proofness
Each one of n users consumes an idiosyncratic commodity produced in indivisible units. The n commodities are jointly produced by a central facility and total cost must be shared by the users. A "sequential stand alone mechanism" shares costs incrementally according to a fixed ordering of the users: the first user always pays stand alone cost, the second pays the stand alone cost of the first two users minus that of the first and so on. If the second derivatives of costs are of a constant sign, such a method yields a unique strong equilibrium at every profile of convex preferences in the game where each user chooses his own demand. This equilibrium, in turn, defines a coalition strategy-proof social choice function. Under decreasing marginal costs and submodular costs, the sequential stand alone mechanisms are almost characterized by these properties; the only exception is the binary demand case (each agent consumes zero or one unit) where a rich family of cost sharing methods (the Shapley value among them) yields a coalition strategy-proof equilibrium selection. Under increasing marginal costs and supermodular costs, coalition strategy-proofness characterizes a richer family of cost sharing methods: they give out one unit at a time while charging marginal costs, with the users taking turns according to a sequence fixed in advance. These methods contain serial cost sharing as a limit case.
If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Volume (Year): 16 (1999)
Issue (Month): 2 ()
|Note:||Received: 8 July 1997/Accepted: 22 January 1998|
|Contact details of provider:|| Web page: http://www.springer.com|
|Order Information:||Web: http://www.springer.com/economics/economic+theory/journal/355|
When requesting a correction, please mention this item's handle: RePEc:spr:sochwe:v:16:y:1999:i:2:p:279-320. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Sonal Shukla)or (Rebekah McClure)
If references are entirely missing, you can add them using this form.