@misc{discovery14428, month = {August}, series = {ELSE Working Papers}, title = {The projection dynamic, the replicator dynamic and the geometry of population games}, year = {2007}, publisher = {ESRC Centre for Economic Learning and Social Evolution}, number = {271}, address = {London, UK}, url = {http://else.econ.ucl.ac.uk/newweb/papers.php#2007}, 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.}, author = {Dokumaci, E. and Lahkar, R. and Sandholm, W. H.} }