Title
The power of two prices: beyond cross-monotonicity
Abstract
Assuming strict consumer sovereignty (CS*), when can costsharing mechanisms simultaneously be group-strategyproof (GSP) and β-budget-balanced (ß-BB)? Moulin mechanisms are GSP and 1-BB for submodular costs. We overcome the submodularity requirement and instead consider arbitrary--yet symmetric--costs: - Already for 4 players, we show that symmetry of costs is not sufficient for the existence of a GSP and 1-BB mechanism. However, for only 3 players, we give a GSP and 1-BB mechanism. - We introduce two-price cost-sharing forms (2P-CSFs) that define players' cost shares and present a novel mechanism that is GSP given any such 2P-CSF. For subadditive costs, we give an algorithm to compute 2P-CSFs that are √17+1/4 -BB (≈ 1.28). This result is then shown to be tight for 2P-CSFs. Yet, this is a significant improvement over 2-BB, which is the best Moulin mechanisms can achieve. We give applications to the minimum makespan scheduling problem. A key feature of all our mechanisms is a preference order on the set of players. Higher cost shares are always payed by least preferred players.
Year
Venue
Keywords
2007
MFCS
subadditive cost,moulin mechanism,key feature,higher cost share,novel mechanism,cost share,minimum makespan scheduling problem,submodular cost,preference order,1-bb mechanism
Field
DocType
Volume
Monotonic function,Mathematical economics,Job shop scheduling,Computer science,Submodular set function,Moulin,Cost share,Subadditivity,Consumer sovereignty,Power of two
Conference
4708
ISSN
ISBN
Citations 
0302-9743
3-540-74455-X
3
PageRank 
References 
Authors
0.41
15
4
Name
Order
Citations
PageRank
Yvonne Bleischwitz1282.59
Burkhard Monien22199279.35
Florian Schoppmann328513.36
Karsten Tiemann41107.71