The Complexity of Welfare Maximization in Congestion Games

We investigate issues of complexity related to welfare maximization in congestion games. In particular, we provide a full classification of complexity results for the problem of finding a minimum cost solution to a congestion game, under the model of Rosenthal. We consider both network and general c...

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Bibliographic Details
Main Authors: Meyers, Carol A. (Author), Schulz, Andreas S. (Contributor)
Other Authors: Massachusetts Institute of Technology. Operations Research Center (Contributor), Sloan School of Management (Contributor)
Format: Article
Language:English
Published: John Wiley & Sons, Inc., 2013-03-15T18:03:35Z.
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Online Access:Get fulltext
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100 1 0 |a Meyers, Carol A.  |e author 
100 1 0 |a Massachusetts Institute of Technology. Operations Research Center  |e contributor 
100 1 0 |a Sloan School of Management  |e contributor 
100 1 0 |a Schulz, Andreas S.  |e contributor 
100 1 0 |a Schulz, Andreas S.  |e contributor 
700 1 0 |a Schulz, Andreas S.  |e author 
245 0 0 |a The Complexity of Welfare Maximization in Congestion Games 
260 |b John Wiley & Sons, Inc.,   |c 2013-03-15T18:03:35Z. 
856 |z Get fulltext  |u http://hdl.handle.net/1721.1/77914 
520 |a We investigate issues of complexity related to welfare maximization in congestion games. In particular, we provide a full classification of complexity results for the problem of finding a minimum cost solution to a congestion game, under the model of Rosenthal. We consider both network and general congestion games, and we examine several variants of the problem concerning the structure of the game and the properties of its associated cost functions. Many of these problem variants turn out to be NP-hard, and some are hard to approximate to within any finite factor, unless P = NP. We also identify several versions of the problem that are solvable in polynomial time. 
520 |a United States. Dept. of Energy (Grant Number: DE-AC52-07NA27344) 
520 |a Lawrence Livermore National Laboratory (Grant Number: LLNL-JRNL-410585) 
520 |a United States. Office of Naval Research (Grant Number: N000141110056) 
546 |a en_US 
655 7 |a Article 
773 |t Networks