Consider the following strange kind of game. Two identical players are eggs that will choose to be born as a Hawk or as a Dove.
If both become doves, they will equally share the available food that yields a total utility of $2$. If both become hawks, they will end up fighting and each will get a utility of $-1$. If one becomes a dove and the other becomes a hawk, the hawk will get all the food and the dove will get zero utility.
How can we represent this game in a table?