4. A. Two roommates, Jacquie and Therese, are not home often, so they have less than full interest in cleaning their house. Set up a prisoner's dilemma type of game where the Nash equilibrium is that neither cleans the place, even though the optimal outcome would be that both clean the place. In each of these games (Parts A, B and C), the two choices are "clean" or "do not clean." does B. Two roommates, Thomas and Patty, share a home. Here the outcome is that both will clean, but each still prefers if the other one the cleaning. Set up a new prisoner's dilemma type game that fits this scenario. Find and label the Nash equilibrium. C. Two roommates, Oscar and Felix, share an apartment on Park Avenue. Oscar has almost no concern for neatness, yet the place stays neat. Felix is unlike Oscar. Felix insists on neatness, even if he has to do all of the cleaning himself. Felix would prefer if Oscar also would clean, but when Oscar does not clean, Felix will clean up everything. Set up a new prisoner's dilemma type of game that fits this scenario and result. Find and label the Nash equilibrium.