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Two roommates John and Joe are playing a simultaneous game of cleaning the apartment. If neither of them clean, the apartment gets filthy and both

Two roommates John and Joe are playing a simultaneous game of cleaning the apartment. If neither of them clean, the apartment gets filthy and both get a utility of 2. If John cleans and Joe doesn't, John gets a utility of 1 and Joe gets a utility of 4. If Joe cleans and John doesn't, Joe gets a utility of 1 and John gets a utility of 4 and if both clean up the apartment, they each get a utility of 3.

If the apartment owner decides to fine both the roommates if the apartment is dirty, such that now if neither of them clean they each get a 5 utility loss, what would the new equilibrium be now?

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