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Roeglin, Approximate Equilibria in Games with Few Players, 2008.","bibtex":"@book{Briest_Goldberg_Roeglin_2008, title={Approximate Equilibria in Games with Few Players}, author={Briest, Patrick and Goldberg, Paul W. and Roeglin, Heiko}, year={2008} }","mla":"Briest, Patrick, et al. <i>Approximate Equilibria in Games with Few Players</i>. 2008.","apa":"Briest, P., Goldberg, P. W., &#38; Roeglin, H. (2008). <i>Approximate Equilibria in Games with Few Players</i>.","chicago":"Briest, Patrick, Paul W. Goldberg, and Heiko Roeglin. <i>Approximate Equilibria in Games with Few Players</i>, 2008.","ieee":"P. Briest, P. W. Goldberg, and H. Roeglin, <i>Approximate Equilibria in Games with Few Players</i>. 2008.","ama":"Briest P, Goldberg PW, Roeglin H. <i>Approximate Equilibria in Games with Few Players</i>.; 2008."},"year":"2008","title":"Approximate Equilibria in Games with Few Players","author":[{"full_name":"Briest, Patrick","last_name":"Briest","first_name":"Patrick"},{"first_name":"Paul W.","last_name":"Goldberg","full_name":"Goldberg, Paul W."},{"full_name":"Roeglin, Heiko","last_name":"Roeglin","first_name":"Heiko"}],"date_created":"2020-09-25T09:52:57Z","date_updated":"2022-01-06T06:54:10Z","status":"public","abstract":[{"text":"We study the problem of computing approximate Nash equilibria (epsilon-Nash\r\nequilibria) in normal form games, where the number of players is a small\r\nconstant. We consider the approach of looking for solutions with constant\r\nsupport size. It is known from recent work that in the 2-player case, a\r\n1/2-Nash equilibrium can be easily found, but in general one cannot achieve a\r\nsmaller value of epsilon than 1/2. In this paper we extend those results to the\r\nk-player case, and find that epsilon = 1-1/k is feasible, but cannot be\r\nimproved upon. We show how stronger results for the 2-player case may be used\r\nin order to slightly improve upon the epsilon = 1-1/k obtained in the k-player\r\ncase.","lang":"eng"}],"type":"report","language":[{"iso":"eng"}],"department":[{"_id":"63"}],"user_id":"15415","_id":"19688","external_id":{"arxiv":["0804.4524 "]}},{"status":"public","publication":"Proc. Int. Conf. on Risks and Security of Internet and Systems","type":"conference","language":[{"iso":"eng"}],"department":[{"_id":"27"}],"user_id":"15274","_id":"1974","citation":{"apa":"Battré, D., Hovestadt, M., Kao, O., Keller, A., &#38; Voss, K. (2008). Quality Assurance of Grid Service Provisioning by Risk Aware Managing of Resource Failures. In <i>Proc. Int. Conf. on Risks and Security of Internet and Systems</i>.","short":"D. Battré, M. Hovestadt, O. Kao, A. Keller, K. Voss, in: Proc. Int. Conf. on Risks and Security of Internet and Systems, 2008.","mla":"Battré, Dominic, et al. “Quality Assurance of Grid Service Provisioning by Risk Aware Managing of Resource Failures.” <i>Proc. Int. Conf. on Risks and Security of Internet and Systems</i>, 2008.","bibtex":"@inproceedings{Battré_Hovestadt_Kao_Keller_Voss_2008, title={Quality Assurance of Grid Service Provisioning by Risk Aware Managing of Resource Failures}, booktitle={Proc. Int. Conf. on Risks and Security of Internet and Systems}, author={Battré, Dominic and Hovestadt, Matthias and Kao, Odej and Keller, Axel and Voss, Kerstin}, year={2008} }","ama":"Battré D, Hovestadt M, Kao O, Keller A, Voss K. Quality Assurance of Grid Service Provisioning by Risk Aware Managing of Resource Failures. In: <i>Proc. Int. Conf. on Risks and Security of Internet and Systems</i>. ; 2008.","chicago":"Battré, Dominic, Matthias Hovestadt, Odej Kao, Axel Keller, and Kerstin Voss. “Quality Assurance of Grid Service Provisioning by Risk Aware Managing of Resource Failures.” In <i>Proc. Int. Conf. on Risks and Security of Internet and Systems</i>, 2008.","ieee":"D. Battré, M. Hovestadt, O. Kao, A. Keller, and K. Voss, “Quality Assurance of Grid Service Provisioning by Risk Aware Managing of Resource Failures,” in <i>Proc. Int. Conf. on Risks and Security of Internet and Systems</i>, 2008."},"year":"2008","publication_status":"published","title":"Quality Assurance of Grid Service Provisioning by Risk Aware Managing of Resource Failures","date_created":"2018-03-29T11:23:57Z","author":[{"first_name":"Dominic","last_name":"Battré","full_name":"Battré, Dominic"},{"first_name":"Matthias","full_name":"Hovestadt, Matthias","last_name":"Hovestadt"},{"first_name":"Odej","full_name":"Kao, Odej","last_name":"Kao"},{"last_name":"Keller","id":"15274","full_name":"Keller, Axel","first_name":"Axel"},{"first_name":"Kerstin","full_name":"Voss, Kerstin","last_name":"Voss"}],"date_updated":"2022-01-06T06:54:11Z"},{"date_created":"2018-03-29T11:24:29Z","author":[{"first_name":"Dominic","full_name":"Battré, Dominic","last_name":"Battré"},{"last_name":"Hovestadt","full_name":"Hovestadt, Matthias","first_name":"Matthias"},{"last_name":"Kao","full_name":"Kao, Odej","first_name":"Odej"},{"first_name":"Axel","last_name":"Keller","id":"15274","full_name":"Keller, Axel"},{"last_name":"Voss","full_name":"Voss, Kerstin","first_name":"Kerstin"}],"date_updated":"2022-01-06T06:54:12Z","doi":"10.1007/978-3-540-88708-9_1","title":"Virtual Execution Environments and the Negotiation of Service Level Agreements in Grid Systems","publication_status":"published","citation":{"apa":"Battré, D., Hovestadt, M., Kao, O., Keller, A., &#38; Voss, K. (2008). Virtual Execution Environments and the Negotiation of Service Level Agreements in Grid Systems. In <i>Proc. Int. DMTF Academic Alliance Workshop on Systems and Virtualization Management: Standards and New Technologies</i>. <a href=\"https://doi.org/10.1007/978-3-540-88708-9_1\">https://doi.org/10.1007/978-3-540-88708-9_1</a>","mla":"Battré, Dominic, et al. “Virtual Execution Environments and the Negotiation of Service Level Agreements in Grid Systems.” <i>Proc. Int. DMTF Academic Alliance Workshop on Systems and Virtualization Management: Standards and New Technologies</i>, 2008, doi:<a href=\"https://doi.org/10.1007/978-3-540-88708-9_1\">10.1007/978-3-540-88708-9_1</a>.","bibtex":"@inproceedings{Battré_Hovestadt_Kao_Keller_Voss_2008, title={Virtual Execution Environments and the Negotiation of Service Level Agreements in Grid Systems}, DOI={<a href=\"https://doi.org/10.1007/978-3-540-88708-9_1\">10.1007/978-3-540-88708-9_1</a>}, booktitle={Proc. Int. DMTF Academic Alliance Workshop on Systems and Virtualization Management: Standards and New Technologies}, author={Battré, Dominic and Hovestadt, Matthias and Kao, Odej and Keller, Axel and Voss, Kerstin}, year={2008} }","short":"D. Battré, M. Hovestadt, O. Kao, A. Keller, K. Voss, in: Proc. Int. DMTF Academic Alliance Workshop on Systems and Virtualization Management: Standards and New Technologies, 2008.","ieee":"D. Battré, M. Hovestadt, O. Kao, A. Keller, and K. Voss, “Virtual Execution Environments and the Negotiation of Service Level Agreements in Grid Systems,” in <i>Proc. Int. DMTF Academic Alliance Workshop on Systems and Virtualization Management: Standards and New Technologies</i>, 2008.","chicago":"Battré, Dominic, Matthias Hovestadt, Odej Kao, Axel Keller, and Kerstin Voss. “Virtual Execution Environments and the Negotiation of Service Level Agreements in Grid Systems.” In <i>Proc. Int. DMTF Academic Alliance Workshop on Systems and Virtualization Management: Standards and New Technologies</i>, 2008. <a href=\"https://doi.org/10.1007/978-3-540-88708-9_1\">https://doi.org/10.1007/978-3-540-88708-9_1</a>.","ama":"Battré D, Hovestadt M, Kao O, Keller A, Voss K. Virtual Execution Environments and the Negotiation of Service Level Agreements in Grid Systems. In: <i>Proc. Int. DMTF Academic Alliance Workshop on Systems and Virtualization Management: Standards and New Technologies</i>. ; 2008. doi:<a href=\"https://doi.org/10.1007/978-3-540-88708-9_1\">10.1007/978-3-540-88708-9_1</a>"},"year":"2008","user_id":"15274","department":[{"_id":"27"}],"_id":"1975","language":[{"iso":"eng"}],"type":"conference","publication":"Proc. Int. DMTF Academic Alliance Workshop on Systems and Virtualization Management: Standards and New Technologies","status":"public","abstract":[{"text":"Service Level Agreements (SLAs) have focal importance if the commercial customer should be attracted to the Grid. An SLA-aware resource management system has already been realize, able to fulfill the SLA of jobs even in the case of resource failures. For this, it is able to migrate checkpointed jobs over the Grid. At this, virtual execution environments allow to increase the number of potential migration targets significantly. In this paper we outline the concept of such virtual execution environments and focus on the SLA negotiation aspects.","lang":"eng"}]}]