Solve clearly

Suppose you and your fiance(e) are short of money and have to pay the rent. You simultaneously decide to either earn some money or to stay home and play PlayStation. If both go out and work then you both do not have to work too long and you can enjoy a bit of free time. If only one person goes working, then she or he has to work longer and has got no free time anymore. If nobody goes to work then you both enjoy a day of PlayStation but are booted out of the flat. The individual payoffs in terms of utility units are given in the following table. fiancee work play you work 4.4 0,5 play 5.0 1, 1 d) As partnerships are not always perfect there might be some envy and competitiveness. Find the Nash Equilibria for partners who only care about their relative payoff (i.e. u (x, y) = Ity) (Note: mark all outcomes that are predicted.) O {work, work} O {work,play} O (play, work} O (play,play]