$1.$ This figure below displays the choices being made by two coffee shops: Starbucks and Dunkin Donuts. Both companies are trying to decide whether or not to expand in an area. The area can handle only one of them expanding, and whoever expands will cause the other to lose some business. If they both expand, the market will be saturated, and neither company will do well. The payoffs are the additional profits $($or losses$)$ they will earn. Expand S: $$2$m DD: $-$ $$2$m Dunkin Donuts Expand Do not expand S: $$2$m DD: Sim Starbucks Do not expand S: Sim DD: $$2$m Expand Dunkin Donuts Do not expand S: $$0$ DD: $$0$ c$)$ What will be the outcome of the game in the figure shown and why? d$)$ What will be the two players' profit under the outcome of the game in the figure shown predicts?