Title
Coverage, Matching, and Beyond: New Results on Budgeted Mechanism Design.
Abstract
We study a type of reverse procurement auction problems in the presence of budget constraints. The general algorithmic problem is to purchase a set of resources, which come at a cost, so as not to exceed a given budget and at the same time maximize a given valuation function. This framework captures the budgeted version of several well known optimization problems, and when the resources are owned by strategic agents the goal is to design truthful and budget feasible mechanisms. We first obtain mechanisms with an improved approximation ratio for weighted coverage valuations, a special class of submodular functions. We then provide a general scheme for designing randomized and deterministic polynomial time mechanisms for a class of XOS problems. This class contains problems whose feasible set forms an independence system a more general structure than matroids, and some representative problems include, among others, finding maximum weighted matchings and maximum weighted matroid members. For most of these problems, only randomized mechanisms with very high approximation ratios were known prior to our results.
Year
DOI
Venue
2016
10.1007/978-3-662-54110-4_29
WINE
DocType
Volume
Citations 
Conference
abs/1610.00901
2
PageRank 
References 
Authors
0.39
13
3
Name
Order
Citations
PageRank
georgios amanatidis18613.32
Georgios Birmpas2147.48
Evangelos Markakis3122586.93