[{"department":[{"_id":"KrCh"}],"month":"09","publication_status":"published","_id":"2054","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","_id":"2581B60A-B435-11E9-9278-68D0E5697425","name":"Quantitative Graph Games: Theory and Applications","call_identifier":"FP7"},{"_id":"2587B514-B435-11E9-9278-68D0E5697425","name":"Microsoft Research Faculty Fellowship"}],"user_id":"4435EBFC-F248-11E8-B48F-1D18A9856A87","publist_id":"4992","abstract":[{"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.","lang":"eng"}],"volume":8704,"date_published":"2014-09-01T00:00:00Z","status":"public","intvolume":" 8704","citation":{"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.","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","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","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.","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.","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."},"conference":{"end_date":"2014-09-05","start_date":"2014-09-02","location":"Rome, Italy","name":"CONCUR: Concurrency Theory"},"author":[{"full_name":"Chatterjee, Krishnendu","last_name":"Chatterjee","orcid":"0000-0002-4561-241X","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","first_name":"Krishnendu"}],"date_updated":"2020-01-17T09:36:31Z","date_created":"2018-12-11T11:55:27Z","oa_version":"None","publication":"Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)","type":"conference","language":[{"iso":"eng"}],"title":"Qualitative concurrent parity games: Bounded rationality","day":"01","year":"2014","publisher":"Schloss Dagstuhl - Leibniz-Zentrum für Informatik","editor":[{"first_name":"Paolo","full_name":"Baldan, Paolo","last_name":"Baldan"},{"first_name":"Daniele","full_name":"Gorla, Daniele","last_name":"Gorla"}],"quality_controlled":"1","related_material":{"record":[{"id":"3354","status":"public","relation":"earlier_version"}]},"doi":"10.1007/978-3-662-44584-6_37","alternative_title":["LNCS"],"page":"544 - 559"}]