Verification and refinement of a two species Fish Wars model

In this paper, we analyse a modification of the well known two species Fish Wars model of Fischer and Mirman --- a dynamic game which models players catching two species of fish --- Their model is modified in order to encompass both the possibility of depleting resources and the Allee effect. In addition, we verify the results of Fischer and Mirman regarding equilibria in such games, which, to the best of our knowledge, have not yet been proven.