--- _id: '6761' abstract: - lang: eng text: In resource allocation games, selfish players share resources that are needed in order to fulfill their objectives. The cost of using a resource depends on the load on it. In the traditional setting, the players make their choices concurrently and in one-shot. That is, a strategy for a player is a subset of the resources. We introduce and study dynamic resource allocation games. In this setting, the game proceeds in phases. In each phase each player chooses one resource. A scheduler dictates the order in which the players proceed in a phase, possibly scheduling several players to proceed concurrently. The game ends when each player has collected a set of resources that fulfills his objective. The cost for each player then depends on this set as well as on the load on the resources in it – we consider both congestion and cost-sharing games. We argue that the dynamic setting is the suitable setting for many applications in practice. We study the stability of dynamic resource allocation games, where the appropriate notion of stability is that of subgame perfect equilibrium, study the inefficiency incurred due to selfish behavior, and also study problems that are particular to the dynamic setting, like constraints on the order in which resources can be chosen or the problem of finding a scheduler that achieves stability. article_processing_charge: No article_type: original author: - first_name: Guy full_name: Avni, Guy id: 463C8BC2-F248-11E8-B48F-1D18A9856A87 last_name: Avni orcid: 0000-0001-5588-8287 - 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: Orna full_name: Kupferman, Orna last_name: Kupferman citation: ama: Avni G, Henzinger TA, Kupferman O. Dynamic resource allocation games. Theoretical Computer Science. 2020;807:42-55. doi:10.1016/j.tcs.2019.06.031 apa: Avni, G., Henzinger, T. A., & Kupferman, O. (2020). Dynamic resource allocation games. Theoretical Computer Science. Elsevier. https://doi.org/10.1016/j.tcs.2019.06.031 chicago: Avni, Guy, Thomas A Henzinger, and Orna Kupferman. “Dynamic Resource Allocation Games.” Theoretical Computer Science. Elsevier, 2020. https://doi.org/10.1016/j.tcs.2019.06.031. ieee: G. Avni, T. A. Henzinger, and O. Kupferman, “Dynamic resource allocation games,” Theoretical Computer Science, vol. 807. Elsevier, pp. 42–55, 2020. ista: Avni G, Henzinger TA, Kupferman O. 2020. Dynamic resource allocation games. Theoretical Computer Science. 807, 42–55. mla: Avni, Guy, et al. “Dynamic Resource Allocation Games.” Theoretical Computer Science, vol. 807, Elsevier, 2020, pp. 42–55, doi:10.1016/j.tcs.2019.06.031. short: G. Avni, T.A. Henzinger, O. Kupferman, Theoretical Computer Science 807 (2020) 42–55. date_created: 2019-08-04T21:59:20Z date_published: 2020-02-06T00:00:00Z date_updated: 2023-08-17T13:52:49Z day: '06' ddc: - '000' department: - _id: ToHe doi: 10.1016/j.tcs.2019.06.031 external_id: isi: - '000512219400004' file: - access_level: open_access checksum: e86635417f45eb2cd75778f91382f737 content_type: application/pdf creator: dernst date_created: 2020-10-09T06:31:22Z date_updated: 2020-10-09T06:31:22Z file_id: '8639' file_name: 2020_TheoreticalCS_Avni.pdf file_size: 1413001 relation: main_file success: 1 file_date_updated: 2020-10-09T06:31:22Z has_accepted_license: '1' intvolume: ' 807' isi: 1 language: - iso: eng month: '02' oa: 1 oa_version: Submitted Version page: 42-55 project: - _id: 25F2ACDE-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S11402-N23 name: Rigorous Systems Engineering - _id: 25F42A32-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: Z211 name: The Wittgenstein Prize - _id: 264B3912-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: M02369 name: Formal Methods meets Algorithmic Game Theory publication: Theoretical Computer Science publication_identifier: issn: - '03043975' publication_status: published publisher: Elsevier quality_controlled: '1' related_material: record: - id: '1341' relation: earlier_version status: public scopus_import: '1' status: public title: Dynamic resource allocation games type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 807 year: '2020' ... --- _id: '2246' abstract: - lang: eng text: 'Muller games are played by two players moving a token along a graph; the winner is determined by the set of vertices that occur infinitely often. The central algorithmic problem is to compute the winning regions for the players. Different classes and representations of Muller games lead to problems of varying computational complexity. One such class are parity games; these are of particular significance in computational complexity, as they remain one of the few combinatorial problems known to be in NP ∩ co-NP but not known to be in P. We show that winning regions for a Muller game can be determined from the alternating structure of its traps. To every Muller game we then associate a natural number that we call its trap depth; this parameter measures how complicated the trap structure is. We present algorithms for parity games that run in polynomial time for graphs of bounded trap depth, and in general run in time exponential in the trap depth. ' author: - first_name: Andrey full_name: Grinshpun, Andrey last_name: Grinshpun - first_name: Pakawat full_name: Phalitnonkiat, Pakawat last_name: Phalitnonkiat - first_name: Sasha full_name: Rubin, Sasha id: 2EC51194-F248-11E8-B48F-1D18A9856A87 last_name: Rubin - first_name: Andrei full_name: Tarfulea, Andrei last_name: Tarfulea citation: ama: Grinshpun A, Phalitnonkiat P, Rubin S, Tarfulea A. Alternating traps in Muller and parity games. Theoretical Computer Science. 2014;521:73-91. doi:10.1016/j.tcs.2013.11.032 apa: Grinshpun, A., Phalitnonkiat, P., Rubin, S., & Tarfulea, A. (2014). Alternating traps in Muller and parity games. Theoretical Computer Science. Elsevier. https://doi.org/10.1016/j.tcs.2013.11.032 chicago: Grinshpun, Andrey, Pakawat Phalitnonkiat, Sasha Rubin, and Andrei Tarfulea. “Alternating Traps in Muller and Parity Games.” Theoretical Computer Science. Elsevier, 2014. https://doi.org/10.1016/j.tcs.2013.11.032. ieee: A. Grinshpun, P. Phalitnonkiat, S. Rubin, and A. Tarfulea, “Alternating traps in Muller and parity games,” Theoretical Computer Science, vol. 521. Elsevier, pp. 73–91, 2014. ista: Grinshpun A, Phalitnonkiat P, Rubin S, Tarfulea A. 2014. Alternating traps in Muller and parity games. Theoretical Computer Science. 521, 73–91. mla: Grinshpun, Andrey, et al. “Alternating Traps in Muller and Parity Games.” Theoretical Computer Science, vol. 521, Elsevier, 2014, pp. 73–91, doi:10.1016/j.tcs.2013.11.032. short: A. Grinshpun, P. Phalitnonkiat, S. Rubin, A. Tarfulea, Theoretical Computer Science 521 (2014) 73–91. date_created: 2018-12-11T11:56:33Z date_published: 2014-02-13T00:00:00Z date_updated: 2021-01-12T06:56:16Z day: '13' department: - _id: KrCh doi: 10.1016/j.tcs.2013.11.032 intvolume: ' 521' language: - iso: eng main_file_link: - open_access: '1' url: http://arxiv.org/abs/1303.3777 month: '02' oa: 1 oa_version: Submitted Version page: 73 - 91 publication: Theoretical Computer Science publication_identifier: issn: - '03043975' publication_status: published publisher: Elsevier publist_id: '4703' quality_controlled: '1' scopus_import: 1 status: public title: Alternating traps in Muller and parity games type: journal_article user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87 volume: 521 year: '2014' ...