%0 Generic
%A Dokumaci, E.
%A Lahkar, R.
%A Sandholm, W.H.
%C London, UK
%D 2007
%F discovery:14428
%I ESRC Centre for Economic Learning and Social Evolution
%N 271
%T The projection dynamic, the replicator dynamic and the geometry of population games
%U https://discovery.ucl.ac.uk/id/eprint/14428/
%X 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.