[{"author":[{"last_name":"Chatterjee","orcid":"0000-0002-4561-241X","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","first_name":"Krishnendu","full_name":"Chatterjee, Krishnendu"}],"day":"01","publist_id":"4992","date_updated":"2019-08-02T12:38:11Z","language":[{"iso":"eng"}],"doi":"10.1007/978-3-662-44584-6_37","oa_version":"None","citation":{"mla":"Chatterjee, Krishnendu. “Qualitative Concurrent Parity Games: Bounded Rationality.” *Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)*, edited by Paolo Baldan and Daniele Gorla, vol. 8704, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2014, pp. 544–59, doi:10.1007/978-3-662-44584-6_37.","ieee":"K. Chatterjee, “Qualitative concurrent parity games: Bounded rationality,” in *Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)*, Rome, Italy, 2014, vol. 8704, pp. 544–559.","short":"K. Chatterjee, in:, P. Baldan, D. Gorla (Eds.), Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2014, pp. 544–559.","ista":"Chatterjee K. 2014. Qualitative concurrent parity games: Bounded rationality. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). CONCUR: Concurrency Theory, LNCS, vol. 8704. 544–559.","apa":"Chatterjee, K. (2014). Qualitative concurrent parity games: Bounded rationality. In P. Baldan & D. Gorla (Eds.), *Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)* (Vol. 8704, pp. 544–559). Rome, Italy: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.1007/978-3-662-44584-6_37","chicago":"Chatterjee, Krishnendu. “Qualitative Concurrent Parity Games: Bounded Rationality.” In *Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)*, edited by Paolo Baldan and Daniele Gorla, 8704:544–59. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2014. https://doi.org/10.1007/978-3-662-44584-6_37.","ama":"Chatterjee K. Qualitative concurrent parity games: Bounded rationality. In: Baldan P, Gorla D, eds. *Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)*. Vol 8704. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2014:544-559. doi:10.1007/978-3-662-44584-6_37"},"date_created":"2018-12-11T11:55:27Z","intvolume":" 8704","title":"Qualitative concurrent parity games: Bounded rationality","type":"conference","_id":"2054","department":[{"_id":"KrCh"}],"project":[{"name":"Modern Graph Algorithmic Techniques in Formal Verification","grant_number":"P 23499-N23","_id":"2584A770-B435-11E9-9278-68D0E5697425"},{"name":"Game Theory","grant_number":"S11407","_id":"25863FF4-B435-11E9-9278-68D0E5697425"},{"grant_number":"279307","name":"Quantitative Graph Games: Theory and Applications","_id":"2581B60A-B435-11E9-9278-68D0E5697425"},{"name":"Microsoft Research Faculty Fellowship","_id":"2587B514-B435-11E9-9278-68D0E5697425"}],"volume":8704,"alternative_title":["LNCS"],"publication":"Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)","quality_controlled":"1","page":"544 - 559","related_material":{"record":[{"relation":"earlier_version","id":"3354","status":"public"}]},"editor":[{"full_name":"Baldan, Paolo","first_name":"Paolo","last_name":"Baldan"},{"last_name":"Gorla","full_name":"Gorla, Daniele","first_name":"Daniele"}],"year":"2014","publication_status":"published","user_id":"4435EBFC-F248-11E8-B48F-1D18A9856A87","abstract":[{"lang":"eng","text":"We study two-player concurrent games on finite-state graphs played for an infinite number of rounds, where in each round, the two players (player 1 and player 2) choose their moves independently and simultaneously; the current state and the two moves determine the successor state. The objectives are ω-regular winning conditions specified as parity objectives. We consider the qualitative analysis problems: the computation of the almost-sure and limit-sure winning set of states, where player 1 can ensure to win with probability 1 and with probability arbitrarily close to 1, respectively. In general the almost-sure and limit-sure winning strategies require both infinite-memory as well as infinite-precision (to describe probabilities). While the qualitative analysis problem for concurrent parity games with infinite-memory, infinite-precision randomized strategies was studied before, we study the bounded-rationality problem for qualitative analysis of concurrent parity games, where the strategy set for player 1 is restricted to bounded-resource strategies. In terms of precision, strategies can be deterministic, uniform, finite-precision, or infinite-precision; and in terms of memory, strategies can be memoryless, finite-memory, or infinite-memory. We present a precise and complete characterization of the qualitative winning sets for all combinations of classes of strategies. In particular, we show that uniform memoryless strategies are as powerful as finite-precision infinite-memory strategies, and infinite-precision memoryless strategies are as powerful as infinite-precision finite-memory strategies. We show that the winning sets can be computed in (n2d+3) time, where n is the size of the game structure and 2d is the number of priorities (or colors), and our algorithms are symbolic. The membership problem of whether a state belongs to a winning set can be decided in NP ∩ coNP. Our symbolic algorithms are based on a characterization of the winning sets as μ-calculus formulas, however, our μ-calculus formulas are crucially different from the ones for concurrent parity games (without bounded rationality); and our memoryless witness strategy constructions are significantly different from the infinite-memory witness strategy constructions for concurrent parity games."}],"status":"public","date_published":"2014-09-01T00:00:00Z","publisher":"Schloss Dagstuhl - Leibniz-Zentrum für Informatik","month":"09","conference":{"end_date":"2014-09-05","name":"CONCUR: Concurrency Theory","location":"Rome, Italy","start_date":"2014-09-02"}}]