  Economists were content with the concept of the Nash equilibrium as game
theory's solution concept until Daskalakis, Goldberg, and Papadimitriou showed
that finding a Nash equilibrium is most likely a computationally hard problem,
a result that set off a deep scientific crisis. Motivated, in part, by their
result, in this paper, we propose a general theory of equilibrium behavior in
vector fields (and, therefore, also noncooperative games). Our line of
discourse is to show that these universal in nature mathematical objects are
endowed with significant structure, which we probe to unearth atypical,
previously unidentified, equilibrium behavior.
