eprintid: 14428 rev_number: 30 eprint_status: archive userid: 600 dir: disk0/00/01/44/28 datestamp: 2009-07-29 13:48:20 lastmod: 2015-07-19 02:09:26 status_changed: 2009-07-29 13:48:20 type: working_paper metadata_visibility: show creators_name: Dokumaci, E. creators_name: Lahkar, R. creators_name: Sandholm, W.H. title: The projection dynamic, the replicator dynamic and the geometry of population games ispublished: pub subjects: 13200 abstract: Every population game defines a vector field on the set of strategy distributions X. The projection dynamic maps each population game to a new vector field: namely, the one closest to the payoff vector field among those that never point outward from X. We investigate the geometric underpinnings of the projection dynamic, describe its basic game-theoretic properties, and establish a number of close connections between the projection dynamic and the replicator dynamic. 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: 271 place_of_pub: London, UK citation: Dokumaci, E.; Lahkar, R.; Sandholm, W.H.; (2007) The projection dynamic, the replicator dynamic and the geometry of population games. (ELSE Working Papers 271). ESRC Centre for Economic Learning and Social Evolution: London, UK. Green open access document_url: https://discovery.ucl.ac.uk/id/eprint/14428/1/14428.pdf