{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,8,7]],"date-time":"2024-08-07T07:31:39Z","timestamp":1723015899988},"publisher-location":"California","reference-count":0,"publisher":"International Joint Conferences on Artificial Intelligence Organization","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2019,8]]},"abstract":"<jats:p>Bayesian games offer a suitable framework for\ngames where the utility degrees are additive in\nessence. This approach does nevertheless not apply to ordinal games, where the utility degrees do\nnot capture more than a ranking, nor to situations\nof decision under qualitative uncertainty. This paper proposes a representation framework for ordinal games under possibilistic incomplete information (\u03c0-games) and extends the fundamental notion\nof Nash equilibrium (NE) to this framework. We\nshow that deciding whether a NE exists is a difficult\nproblem (NP-hard) and propose a\u00a0\u00a0Mixed Integer Linear Programming\u00a0 (MILP) encoding.\nExperiments on variants of the GAMUT problems\nconfirm the feasibility of this approach.<\/jats:p>","DOI":"10.24963\/ijcai.2019\/214","type":"proceedings-article","created":{"date-parts":[[2019,7,28]],"date-time":"2019-07-28T03:46:05Z","timestamp":1564285565000},"page":"1544-1550","source":"Crossref","is-referenced-by-count":2,"title":["Possibilistic Games with Incomplete Information"],"prefix":"10.24963","author":[{"given":"Nahla","family":"Ben Amor","sequence":"first","affiliation":[{"name":"ISG-Tunis, Universit\u00e9 de Tunis"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Helene","family":"Fargier","sequence":"additional","affiliation":[{"name":"IRIT-CNRS, Universit\u00e9 de Toulouse"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"R\u00e9gis","family":"Sabbadin","sequence":"additional","affiliation":[{"name":"INRA-MIAT, Universit\u00e9 de Toulouse"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Meriem","family":"Trabelsi","sequence":"additional","affiliation":[{"name":"ISG-Tunis, Universit\u00e9 de Tunis"},{"name":"IRIT-CNRS, Universit\u00e9 de Toulouse"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"10584","event":{"number":"28","sponsor":["International Joint Conferences on Artificial Intelligence Organization (IJCAI)"],"acronym":"IJCAI-2019","name":"Twenty-Eighth International Joint Conference on Artificial Intelligence {IJCAI-19}","start":{"date-parts":[[2019,8,10]]},"theme":"Artificial Intelligence","location":"Macao, China","end":{"date-parts":[[2019,8,16]]}},"container-title":["Proceedings of the Twenty-Eighth International Joint Conference on Artificial Intelligence"],"original-title":[],"deposited":{"date-parts":[[2019,7,28]],"date-time":"2019-07-28T03:47:37Z","timestamp":1564285657000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.ijcai.org\/proceedings\/2019\/214"}},"subtitle":[],"proceedings-subject":"Artificial Intelligence Research Articles","short-title":[],"issued":{"date-parts":[[2019,8]]},"references-count":0,"URL":"https:\/\/doi.org\/10.24963\/ijcai.2019\/214","relation":{},"subject":[],"published":{"date-parts":[[2019,8]]}}}