{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,1]],"date-time":"2022-04-01T09:58:46Z","timestamp":1648807126219},"reference-count":14,"publisher":"Hindawi Limited","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>This paper investigates simultaneous learning about both nature and others\u2019 actions in repeated games and identifies a set of sufficient conditions for which Harsanyi\u2019s doctrine holds. Players have a utility function over infinite histories that are continuous for the sup-norm topology. Nature\u2019s drawing after any history may depend on any past actions. Provided that (1) every player maximizes her expected payoff against her own beliefs, (2) every player updates her beliefs in a Bayesian manner, (3) prior beliefs about both nature and other players\u2019 strategies have a grain of truth, and (4) beliefs about nature are independent of actions chosen during the game, we construct a Nash equilibrium, that is, realization-equivalent to the actual plays, where Harsanyi\u2019s doctrine holds. Those assumptions are shown to be tight.<\/jats:p>","DOI":"10.1155\/2014\/453168","type":"journal-article","created":{"date-parts":[[2014,1,19]],"date-time":"2014-01-19T09:25:41Z","timestamp":1390123541000},"page":"1-9","source":"Crossref","is-referenced-by-count":0,"title":["Learning in General Games with Nature\u2019s Moves"],"prefix":"10.1155","volume":"2014","author":[{"given":"Patrick L.","family":"Leoni","sequence":"first","affiliation":[{"name":"Kedge Business School, Domaine de Luminy, BP 921, 13 288 Marseille Cedex 9, France"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"98","reference":[{"key":"7","doi-asserted-by":"crossref","first-page":"159","DOI":"10.1287\/mnsc.14.3.159","volume":"14","year":"1967","journal-title":"Management Science"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.2307\/2951492"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.2307\/2951500"},{"key":"2","first-page":"335","volume":"46","year":"1992","journal-title":"Ricerche Economiche"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.2307\/2951716"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1214\/aoms\/1177704456"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1006\/jeth.1997.2352"},{"key":"13","year":"2007"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.211534898"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1111\/j.1468-0262.2005.00585.x"},{"key":"6","doi-asserted-by":"crossref","first-page":"547","DOI":"10.2307\/2951717","volume":"61","year":"1993","journal-title":"Econometrica"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/0899-8256(91)90005-Y"},{"key":"1","series-title":"Annals of Mathematics Studies","volume-title":"Mixed and behavior strategies in infinite extensive games","volume":"52","year":"1964"},{"key":"11","series-title":"Annals of Mathematics Studies","volume-title":"Extensive games and the problem of information","volume":"28","year":"1953"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/453168.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/453168.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/453168.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,22]],"date-time":"2017-06-22T06:17:51Z","timestamp":1498112271000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2014\/453168\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":14,"alternative-id":["453168","453168"],"URL":"https:\/\/doi.org\/10.1155\/2014\/453168","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"value":"1110-757X","type":"print"},{"value":"1687-0042","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014]]}}}