eprintid: 14429 rev_number: 25 eprint_status: archive userid: 600 dir: disk0/00/01/44/29 datestamp: 2009-07-09 10:18:34 lastmod: 2015-07-19 02:09:27 status_changed: 2009-07-09 10:18:34 type: working_paper metadata_visibility: show creators_name: Lahkar, R. title: Logit dynamic for continuous strategy games: existence of solutions ispublished: pub subjects: 13200 abstract: We define the logit dynamic in the space of probability measures for a game with a compact and continuous strategy set. The original Burdett and Judd (1983) model of price dispersion comes under this framework. We then show that if the payoff functions of the game satisfy Lipschitz continuity under the strong topology in the space of signed measures, the logit dynamic admits a unique solution in the space of probability measures. As a corollary, we obtain that logit dynamic generated by the original Burdett and Judd model is well defined. date: 2007-08 publisher: ESRC Centre for Economic Learning and Social Evolution official_url: http://else.econ.ucl.ac.uk/newweb/papers.php#2007 oa_status: green language: eng primo: open primo_central: open_green full_text_status: public series: ELSE Working Papers number: 270 place_of_pub: London, UK citation: Lahkar, R.; (2007) Logit dynamic for continuous strategy games: existence of solutions. (ELSE Working Papers 270). ESRC Centre for Economic Learning and Social Evolution: London, UK. Green open access document_url: https://discovery.ucl.ac.uk/id/eprint/14429/1/14429.pdf