[{"year":"2015","oa_version":"Preprint","publication_identifier":{"isbn":["978-161197374-7"]},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_updated":"2022-02-25T12:33:32Z","scopus_import":"1","external_id":{"arxiv":["1409.6690"]},"issue":"1","article_processing_charge":"No","arxiv":1,"_id":"10796","abstract":[{"text":"We consider concurrent mean-payoff games, a very well-studied class of two-player (player 1 vs player 2) zero-sum games on finite-state graphs where every transition is assigned a reward between 0 and 1, and the payoff function is the long-run average of the rewards. The value is the maximal expected payoff that player 1 can guarantee against all strategies of player 2. We consider the computation of the set of states with value 1 under finite-memory strategies for player 1, and our main results for the problem are as follows: (1) we present a polynomial-time algorithm; (2) we show that whenever there is a finite-memory strategy, there is a stationary strategy that does not need memory at all; and (3) we present an optimal bound (which is double exponential) on the patience of stationary strategies (where patience of a distribution is the inverse of the smallest positive probability and represents a complexity measure of a stationary strategy).","lang":"eng"}],"date_published":"2015-01-01T00:00:00Z","publication_status":"published","volume":2015,"conference":{"name":"SODA: Symposium on Discrete Algorithms","end_date":"2015-01-06","start_date":"2015-01-04","location":"San Diego, CA, United States"},"title":"The value 1 problem under finite-memory strategies for concurrent mean-payoff games","ec_funded":1,"citation":{"short":"K. Chatterjee, R. Ibsen-Jensen, in:, Proceedings of the Twenty-Sixth Annual ACM-SIAM Symposium on Discrete Algorithms, SIAM, 2015, pp. 1018–1029.","ama":"Chatterjee K, Ibsen-Jensen R. The value 1 problem under finite-memory strategies for concurrent mean-payoff games. In: <i>Proceedings of the Twenty-Sixth Annual ACM-SIAM Symposium on Discrete Algorithms</i>. Vol 2015. SIAM; 2015:1018-1029. doi:<a href=\"https://doi.org/10.1137/1.9781611973730.69\">10.1137/1.9781611973730.69</a>","apa":"Chatterjee, K., &#38; Ibsen-Jensen, R. (2015). The value 1 problem under finite-memory strategies for concurrent mean-payoff games. In <i>Proceedings of the Twenty-Sixth Annual ACM-SIAM Symposium on Discrete Algorithms</i> (Vol. 2015, pp. 1018–1029). San Diego, CA, United States: SIAM. <a href=\"https://doi.org/10.1137/1.9781611973730.69\">https://doi.org/10.1137/1.9781611973730.69</a>","chicago":"Chatterjee, Krishnendu, and Rasmus Ibsen-Jensen. “The Value 1 Problem under Finite-Memory Strategies for Concurrent Mean-Payoff Games.” In <i>Proceedings of the Twenty-Sixth Annual ACM-SIAM Symposium on Discrete Algorithms</i>, 2015:1018–29. SIAM, 2015. <a href=\"https://doi.org/10.1137/1.9781611973730.69\">https://doi.org/10.1137/1.9781611973730.69</a>.","ieee":"K. Chatterjee and R. Ibsen-Jensen, “The value 1 problem under finite-memory strategies for concurrent mean-payoff games,” in <i>Proceedings of the Twenty-Sixth Annual ACM-SIAM Symposium on Discrete Algorithms</i>, San Diego, CA, United States, 2015, vol. 2015, no. 1, pp. 1018–1029.","ista":"Chatterjee K, Ibsen-Jensen R. 2015. The value 1 problem under finite-memory strategies for concurrent mean-payoff games. Proceedings of the Twenty-Sixth Annual ACM-SIAM Symposium on Discrete Algorithms. SODA: Symposium on Discrete Algorithms vol. 2015, 1018–1029.","mla":"Chatterjee, Krishnendu, and Rasmus Ibsen-Jensen. “The Value 1 Problem under Finite-Memory Strategies for Concurrent Mean-Payoff Games.” <i>Proceedings of the Twenty-Sixth Annual ACM-SIAM Symposium on Discrete Algorithms</i>, vol. 2015, no. 1, SIAM, 2015, pp. 1018–29, doi:<a href=\"https://doi.org/10.1137/1.9781611973730.69\">10.1137/1.9781611973730.69</a>."},"author":[{"first_name":"Krishnendu","full_name":"Chatterjee, Krishnendu","last_name":"Chatterjee","orcid":"0000-0002-4561-241X","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Ibsen-Jensen, Rasmus","first_name":"Rasmus","last_name":"Ibsen-Jensen","id":"3B699956-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-4783-0389"}],"type":"conference","day":"01","acknowledgement":"The research was partly supported by FWF Grant No P 23499-N23, FWF NFN Grant\r\nNo S11407-N23 (RiSE), ERC Start grant (279307: Graph Games), and Microsoft faculty fellows award.","project":[{"_id":"2584A770-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Modern Graph Algorithmic Techniques in Formal Verification","grant_number":"P 23499-N23"},{"_id":"25863FF4-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Game Theory","grant_number":"S11407"},{"name":"Quantitative Graph Games: Theory and Applications","grant_number":"279307","_id":"2581B60A-B435-11E9-9278-68D0E5697425","call_identifier":"FP7"},{"_id":"2587B514-B435-11E9-9278-68D0E5697425","name":"Microsoft Research Faculty Fellowship"}],"doi":"10.1137/1.9781611973730.69","language":[{"iso":"eng"}],"page":"1018-1029","date_created":"2022-02-25T12:18:43Z","month":"01","publisher":"SIAM","intvolume":"      2015","status":"public","department":[{"_id":"KrCh"}],"quality_controlled":"1","publication":"Proceedings of the Twenty-Sixth Annual ACM-SIAM Symposium on Discrete Algorithms"}]