--- _id: '3860' abstract: - lang: eng text: 'In mean-payoff games, the objective of the protagonist is to ensure that the limit average of an infinite sequence of numeric weights is nonnegative. In energy games, the objective is to ensure that the running sum of weights is always nonnegative. Generalized mean-payoff and energy games replace individual weights by tuples, and the limit average (resp. running sum) of each coordinate must be (resp. remain) nonnegative. These games have applications in the synthesis of resource-bounded processes with multiple resources. We prove the finite-memory determinacy of generalized energy games and show the inter- reducibility of generalized mean-payoff and energy games for finite-memory strategies. We also improve the computational complexity for solving both classes of games with finite-memory strategies: while the previously best known upper bound was EXPSPACE, and no lower bound was known, we give an optimal coNP-complete bound. For memoryless strategies, we show that the problem of deciding the existence of a winning strategy for the protagonist is NP-complete.' alternative_title: - LIPIcs article_processing_charge: No author: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Laurent full_name: Doyen, Laurent last_name: Doyen - first_name: Thomas A full_name: Henzinger, Thomas A id: 40876CD8-F248-11E8-B48F-1D18A9856A87 last_name: Henzinger orcid: 0000−0002−2985−7724 - first_name: Jean full_name: Raskin, Jean last_name: Raskin citation: ama: 'Chatterjee K, Doyen L, Henzinger TA, Raskin J. Generalized mean-payoff and energy games. In: Vol 8. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2010:505-516. doi:10.4230/LIPIcs.FSTTCS.2010.505' apa: 'Chatterjee, K., Doyen, L., Henzinger, T. A., & Raskin, J. (2010). Generalized mean-payoff and energy games (Vol. 8, pp. 505–516). Presented at the FSTTCS: Foundations of Software Technology and Theoretical Computer Science, Chennai, India: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.FSTTCS.2010.505' chicago: Chatterjee, Krishnendu, Laurent Doyen, Thomas A Henzinger, and Jean Raskin. “Generalized Mean-Payoff and Energy Games,” 8:505–16. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2010. https://doi.org/10.4230/LIPIcs.FSTTCS.2010.505. ieee: 'K. Chatterjee, L. Doyen, T. A. Henzinger, and J. Raskin, “Generalized mean-payoff and energy games,” presented at the FSTTCS: Foundations of Software Technology and Theoretical Computer Science, Chennai, India, 2010, vol. 8, pp. 505–516.' ista: 'Chatterjee K, Doyen L, Henzinger TA, Raskin J. 2010. Generalized mean-payoff and energy games. FSTTCS: Foundations of Software Technology and Theoretical Computer Science, LIPIcs, vol. 8, 505–516.' mla: Chatterjee, Krishnendu, et al. Generalized Mean-Payoff and Energy Games. Vol. 8, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2010, pp. 505–16, doi:10.4230/LIPIcs.FSTTCS.2010.505. short: K. Chatterjee, L. Doyen, T.A. Henzinger, J. Raskin, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2010, pp. 505–516. conference: end_date: 2010-12-18 location: Chennai, India name: 'FSTTCS: Foundations of Software Technology and Theoretical Computer Science' start_date: 2010-12-15 date_created: 2018-12-11T12:05:34Z date_published: 2010-12-13T00:00:00Z date_updated: 2021-01-12T07:52:44Z day: '13' ddc: - '005' department: - _id: KrCh - _id: ToHe doi: 10.4230/LIPIcs.FSTTCS.2010.505 file: - access_level: open_access checksum: 1caabd6319b979927208117a41192637 content_type: application/pdf creator: system date_created: 2018-12-12T10:15:27Z date_updated: 2020-07-14T12:46:18Z file_id: '5147' file_name: IST-2012-59-v1+1_Generalized_mean-payoff_and_energy_games.pdf file_size: 178278 relation: main_file - access_level: open_access checksum: 3a59759ceeacdb5b578f3803d5e6769b content_type: application/pdf creator: system date_created: 2018-12-12T10:15:28Z date_updated: 2020-07-14T12:46:18Z file_id: '5148' file_name: IST-2016-59-v2+1_2_1_.pdf file_size: 477976 relation: main_file file_date_updated: 2020-07-14T12:46:18Z has_accepted_license: '1' intvolume: ' 8' language: - iso: eng month: '12' oa: 1 oa_version: Submitted Version page: 505 - 516 publication_status: published publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik publist_id: '2321' pubrep_id: '59' quality_controlled: '1' scopus_import: 1 status: public title: Generalized mean-payoff and energy games tmp: image: /images/cc_by_nc_nd.png legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) short: CC BY-NC-ND (4.0) type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 8 year: '2010' ...