[{"year":"2022","oa_version":"Preprint","article_type":"original","publication_identifier":{"issn":["0364-765X"],"eissn":["1526-5471"]},"date_updated":"2023-09-05T13:16:11Z","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","scopus_import":"1","external_id":{"arxiv":["1904.13360"],"isi":["000731918100001"]},"issue":"1","article_processing_charge":"No","arxiv":1,"date_published":"2022-02-01T00:00:00Z","_id":"9311","abstract":[{"text":"Partially observable Markov decision processes (POMDPs) are standard models for dynamic systems with probabilistic and nondeterministic behaviour in uncertain environments. We prove that in POMDPs with long-run average objective, the decision maker has approximately optimal strategies with finite memory. This implies notably that approximating the long-run value is recursively enumerable, as well as a weak continuity property of the value with respect to the transition function. ","lang":"eng"}],"oa":1,"main_file_link":[{"url":"https://arxiv.org/abs/1904.13360","open_access":"1"}],"publication_status":"published","volume":47,"title":"Finite-memory strategies in POMDPs with long-run average objectives","citation":{"chicago":"Chatterjee, Krishnendu, Raimundo J Saona Urmeneta, and Bruno Ziliotto. “Finite-Memory Strategies in POMDPs with Long-Run Average Objectives.” <i>Mathematics of Operations Research</i>. Institute for Operations Research and the Management Sciences, 2022. <a href=\"https://doi.org/10.1287/moor.2020.1116\">https://doi.org/10.1287/moor.2020.1116</a>.","ieee":"K. Chatterjee, R. J. Saona Urmeneta, and B. Ziliotto, “Finite-memory strategies in POMDPs with long-run average objectives,” <i>Mathematics of Operations Research</i>, vol. 47, no. 1. Institute for Operations Research and the Management Sciences, pp. 100–119, 2022.","ista":"Chatterjee K, Saona Urmeneta RJ, Ziliotto B. 2022. Finite-memory strategies in POMDPs with long-run average objectives. Mathematics of Operations Research. 47(1), 100–119.","mla":"Chatterjee, Krishnendu, et al. “Finite-Memory Strategies in POMDPs with Long-Run Average Objectives.” <i>Mathematics of Operations Research</i>, vol. 47, no. 1, Institute for Operations Research and the Management Sciences, 2022, pp. 100–19, doi:<a href=\"https://doi.org/10.1287/moor.2020.1116\">10.1287/moor.2020.1116</a>.","short":"K. Chatterjee, R.J. Saona Urmeneta, B. Ziliotto, Mathematics of Operations Research 47 (2022) 100–119.","ama":"Chatterjee K, Saona Urmeneta RJ, Ziliotto B. Finite-memory strategies in POMDPs with long-run average objectives. <i>Mathematics of Operations Research</i>. 2022;47(1):100-119. doi:<a href=\"https://doi.org/10.1287/moor.2020.1116\">10.1287/moor.2020.1116</a>","apa":"Chatterjee, K., Saona Urmeneta, R. J., &#38; Ziliotto, B. (2022). Finite-memory strategies in POMDPs with long-run average objectives. <i>Mathematics of Operations Research</i>. Institute for Operations Research and the Management Sciences. <a href=\"https://doi.org/10.1287/moor.2020.1116\">https://doi.org/10.1287/moor.2020.1116</a>"},"type":"journal_article","author":[{"last_name":"Chatterjee","full_name":"Chatterjee, Krishnendu","first_name":"Krishnendu","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4561-241X"},{"orcid":"0000-0001-5103-038X","id":"BD1DF4C4-D767-11E9-B658-BC13E6697425","last_name":"Saona Urmeneta","full_name":"Saona Urmeneta, Raimundo J","first_name":"Raimundo J"},{"last_name":"Ziliotto","first_name":"Bruno","full_name":"Ziliotto, Bruno"}],"day":"01","acknowledgement":"Partially supported by Austrian Science Fund (FWF) NFN Grant No RiSE/SHiNE S11407, by CONICYT Chile through grant PII 20150140, and by ECOS-CONICYT through grant C15E03.\r\n","project":[{"grant_number":"S11407","name":"Game Theory","_id":"25863FF4-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"}],"doi":"10.1287/moor.2020.1116","language":[{"iso":"eng"}],"keyword":["Management Science and Operations Research","General Mathematics","Computer Science Applications"],"page":"100-119","date_created":"2021-04-08T09:33:31Z","month":"02","isi":1,"publisher":"Institute for Operations Research and the Management Sciences","intvolume":"        47","status":"public","quality_controlled":"1","department":[{"_id":"GradSch"},{"_id":"KrCh"}],"publication":"Mathematics of Operations Research"}]