{"series_title":"LIPIcs","department":[{"_id":"541"},{"_id":"63"}],"project":[{"name":"SFB 901","_id":"1"},{"name":"SFB 901 - Subprojekt A3","_id":"7"},{"_id":"2","name":"SFB 901 - Project Area A"}],"user_id":"477","citation":{"chicago":"Hansknecht, Christoph, Max Klimm, and Alexander Skopalik. “Approximate Pure Nash Equilibria in Weighted Congestion Games.” In <i>Proceedings of the 17th. International Workshop on Approximation Algorithms for Combinatorial Optimization Problems (APPROX)</i>, 242–57. LIPIcs, 2014. <a href=\"https://doi.org/10.4230/LIPIcs.APPROX-RANDOM.2014.242\">https://doi.org/10.4230/LIPIcs.APPROX-RANDOM.2014.242</a>.","bibtex":"@inproceedings{Hansknecht_Klimm_Skopalik_2014, series={LIPIcs}, title={Approximate pure Nash equilibria in weighted congestion games}, DOI={<a href=\"https://doi.org/10.4230/LIPIcs.APPROX-RANDOM.2014.242\">10.4230/LIPIcs.APPROX-RANDOM.2014.242</a>}, booktitle={Proceedings of the 17th. International Workshop on Approximation Algorithms for Combinatorial Optimization Problems (APPROX)}, author={Hansknecht, Christoph and Klimm, Max and Skopalik, Alexander}, year={2014}, pages={242–257}, collection={LIPIcs} }","ama":"Hansknecht C, Klimm M, Skopalik A. Approximate pure Nash equilibria in weighted congestion games. In: <i>Proceedings of the 17th. International Workshop on Approximation Algorithms for Combinatorial Optimization Problems (APPROX)</i>. LIPIcs. ; 2014:242-257. doi:<a href=\"https://doi.org/10.4230/LIPIcs.APPROX-RANDOM.2014.242\">10.4230/LIPIcs.APPROX-RANDOM.2014.242</a>","short":"C. Hansknecht, M. Klimm, A. Skopalik, in: Proceedings of the 17th. International Workshop on Approximation Algorithms for Combinatorial Optimization Problems (APPROX), 2014, pp. 242–257.","ieee":"C. Hansknecht, M. Klimm, and A. Skopalik, “Approximate pure Nash equilibria in weighted congestion games,” in <i>Proceedings of the 17th. International Workshop on Approximation Algorithms for Combinatorial Optimization Problems (APPROX)</i>, 2014, pp. 242–257.","apa":"Hansknecht, C., Klimm, M., &#38; Skopalik, A. (2014). Approximate pure Nash equilibria in weighted congestion games. In <i>Proceedings of the 17th. International Workshop on Approximation Algorithms for Combinatorial Optimization Problems (APPROX)</i> (pp. 242–257). <a href=\"https://doi.org/10.4230/LIPIcs.APPROX-RANDOM.2014.242\">https://doi.org/10.4230/LIPIcs.APPROX-RANDOM.2014.242</a>","mla":"Hansknecht, Christoph, et al. “Approximate Pure Nash Equilibria in Weighted Congestion Games.” <i>Proceedings of the 17th. International Workshop on Approximation Algorithms for Combinatorial Optimization Problems (APPROX)</i>, 2014, pp. 242–57, doi:<a href=\"https://doi.org/10.4230/LIPIcs.APPROX-RANDOM.2014.242\">10.4230/LIPIcs.APPROX-RANDOM.2014.242</a>."},"title":"Approximate pure Nash equilibria in weighted congestion games","has_accepted_license":"1","date_updated":"2022-01-06T07:01:09Z","language":[{"iso":"eng"}],"ddc":["040"],"doi":"10.4230/LIPIcs.APPROX-RANDOM.2014.242","abstract":[{"lang":"eng","text":"We study the existence of approximate pure Nash equilibria in weighted congestion games and develop techniques to obtain approximate potential functions that prove the existence of alpha-approximate pure Nash equilibria and the convergence of alpha-improvement steps. Specifically, we show how to obtain upper bounds for approximation factor alpha for a given class of cost functions. For example for concave cost functions the factor is at most 3/2, for quadratic cost functions it is at most 4/3, and for polynomial cost functions of maximal degree d it is at at most d + 1. For games with two players we obtain tight bounds which are as small as for example 1.054 in the case of quadratic cost functions."}],"file":[{"file_size":512712,"date_updated":"2018-03-16T11:23:40Z","file_name":"455-HKS14.pdf","creator":"florida","content_type":"application/pdf","relation":"main_file","success":1,"date_created":"2018-03-16T11:23:40Z","access_level":"closed","file_id":"1341"}],"file_date_updated":"2018-03-16T11:23:40Z","type":"conference","page":"242 - 257","date_created":"2017-10-17T12:42:20Z","publication":"Proceedings of the 17th. International Workshop on Approximation Algorithms for Combinatorial Optimization Problems (APPROX)","status":"public","author":[{"full_name":"Hansknecht, Christoph","last_name":"Hansknecht","first_name":"Christoph"},{"first_name":"Max","last_name":"Klimm","full_name":"Klimm, Max"},{"first_name":"Alexander","id":"40384","last_name":"Skopalik","full_name":"Skopalik, Alexander"}],"year":"2014","_id":"455"}