--- _id: '5788' abstract: - lang: eng text: In two-player games on graphs, the players move a token through a graph to produce an infinite path, which determines the winner or payoff of the game. Such games are central in formal verification since they model the interaction between a non-terminating system and its environment. We study bidding games in which the players bid for the right to move the token. Two bidding rules have been defined. In Richman bidding, in each round, the players simultaneously submit bids, and the higher bidder moves the token and pays the other player. Poorman bidding is similar except that the winner of the bidding pays the “bank” rather than the other player. While poorman reachability games have been studied before, we present, for the first time, results on infinite-duration poorman games. A central quantity in these games is the ratio between the two players’ initial budgets. The questions we study concern a necessary and sufficient ratio with which a player can achieve a goal. For reachability objectives, such threshold ratios are known to exist for both bidding rules. We show that the properties of poorman reachability games extend to complex qualitative objectives such as parity, similarly to the Richman case. Our most interesting results concern quantitative poorman games, namely poorman mean-payoff games, where we construct optimal strategies depending on the initial ratio, by showing a connection with random-turn based games. The connection in itself is interesting, because it does not hold for reachability poorman games. We also solve the complexity problems that arise in poorman bidding games. alternative_title: - LNCS article_processing_charge: No 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: Rasmus full_name: Ibsen-Jensen, Rasmus id: 3B699956-F248-11E8-B48F-1D18A9856A87 last_name: Ibsen-Jensen orcid: 0000-0003-4783-0389 citation: ama: 'Avni G, Henzinger TA, Ibsen-Jensen R. Infinite-duration poorman-bidding games. In: Vol 11316. Springer; 2018:21-36. doi:10.1007/978-3-030-04612-5_2' apa: 'Avni, G., Henzinger, T. A., & Ibsen-Jensen, R. (2018). Infinite-duration poorman-bidding games (Vol. 11316, pp. 21–36). Presented at the 14th International Conference on Web and Internet Economics, WINE, Oxford, UK: Springer. https://doi.org/10.1007/978-3-030-04612-5_2' chicago: Avni, Guy, Thomas A Henzinger, and Rasmus Ibsen-Jensen. “Infinite-Duration Poorman-Bidding Games,” 11316:21–36. Springer, 2018. https://doi.org/10.1007/978-3-030-04612-5_2. ieee: G. Avni, T. A. Henzinger, and R. Ibsen-Jensen, “Infinite-duration poorman-bidding games,” presented at the 14th International Conference on Web and Internet Economics, WINE, Oxford, UK, 2018, vol. 11316, pp. 21–36. ista: Avni G, Henzinger TA, Ibsen-Jensen R. 2018. Infinite-duration poorman-bidding games. 14th International Conference on Web and Internet Economics, WINE, LNCS, vol. 11316, 21–36. mla: Avni, Guy, et al. Infinite-Duration Poorman-Bidding Games. Vol. 11316, Springer, 2018, pp. 21–36, doi:10.1007/978-3-030-04612-5_2. short: G. Avni, T.A. Henzinger, R. Ibsen-Jensen, in:, Springer, 2018, pp. 21–36. conference: end_date: 2018-12-17 location: Oxford, UK name: 14th International Conference on Web and Internet Economics, WINE start_date: 2018-12-15 date_created: 2018-12-30T22:59:14Z date_published: 2018-11-21T00:00:00Z date_updated: 2023-09-12T07:44:01Z day: '21' department: - _id: ToHe doi: 10.1007/978-3-030-04612-5_2 external_id: arxiv: - '1804.04372' isi: - '000865933000002' intvolume: ' 11316' isi: 1 language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1804.04372 month: '11' oa: 1 oa_version: Preprint page: 21-36 project: - _id: 25F42A32-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: Z211 name: The Wittgenstein Prize - _id: 25832EC2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S 11407_N23 name: Rigorous Systems Engineering - _id: 264B3912-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: M02369 name: Formal Methods meets Algorithmic Game Theory publication_identifier: isbn: - '9783030046118' issn: - '03029743' publisher: Springer quality_controlled: '1' scopus_import: '1' status: public title: Infinite-duration poorman-bidding games type: conference user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 11316 year: '2018' ...