eprintid: 4135 rev_number: 21 eprint_status: archive userid: 351 dir: disk0/00/00/41/35 datestamp: 2016-01-15 02:04:15 lastmod: 2021-08-27 17:14:50 status_changed: 2016-01-15 02:04:15 type: monograph metadata_visibility: show item_issues_count: 2 creators_name: Posch, M. creators_id: 1643 title: Cycling with a Generalized Urn Scheme and a Learning Algorithm for 2X2 Games ispublished: pub internal_subjects: iis_mod internal_subjects: iis_sys divisions: prog_dyn abstract: In this paper we explore a learning algorithm for 2x2 games. We assume that the players neither know the payoff matrix of their opponent nor their own and can only observe their own actions and their own payoffs. We prove that the learning process, which is modelled by a generalized urn scheme, converges to a pure strategy profile if the game has at least one strict Nash equilibrium. In case there is no strict Nash equilibrium, the learning algorithm exhibits oscillations. We derive sufficient conditions that cycling occurs in a generalized urn scheme. date: 1994-08 date_type: published publisher: WP-94-076 iiasapubid: WP-94-076 price: 10 creators_browse_id: 1515 full_text_status: public monograph_type: working_paper place_of_pub: IIASA, Laxenburg, Austria pages: 43 coversheets_dirty: FALSE fp7_type: info:eu-repo/semantics/book citation: Posch, M. (1994). Cycling with a Generalized Urn Scheme and a Learning Algorithm for 2X2 Games. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-94-076 document_url: https://pure.iiasa.ac.at/id/eprint/4135/1/WP-94-076.pdf