We revisit, in this paper, the well-studied Hawk and Dove game within a dynamic framework. A non-standard evolutionary game approach is taken, in which the starting point of the modeling is the dynamic evolution of the population as a function of the strategies used, instead of a fitness based model (in which the fitness functions determine the evolution). This work is motivated by the discussion in the book of Thomas L. Vincent co-authored with J. Brown [7] in which they raise (on page 73) the puzzling question of whom should one consider to be the players: the individuals or the populations?