Problem 2. In the Lesson 2 homework we considered the hawk-dove game. Here we consider a variation where each player has three strategies. In this variation we assume that players are fighting over valuable territory and one of the players has arrived in the territory first (with equal probability). There are three strategies available to each player: . hawk (h): fight aggressively until you prevail or are injured . dove (d): bluff by displaying, but retreat if the other player begins to fight . owl (o): - if you are in the territory first, play h (defend your territory) - if the other player is in the territory first, play d (dove) (you cede the territory to the other player if they fight for it). We are using the following parameters: . v: the value of the territory you are fighting over . w the cost of getting injured in fighting . We will assume that v