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Remember the roommates from the class example - once again our roommates are deciding whether to clean the room or not. But now the payoff

Remember the roommates from the class example - once again our roommates are deciding whether to clean the room or not. But now the payoff matrix is different sinceare governed by emotions that they cannot control. Neither can avoid getting angry if the other does not clean. Given that there is certain to be a quarrel if either does not clean, the payoff matrix for the game becomes:

Victoria
Clean Don't clean
Albert Clean 6;6 0;4
Don't clean 4;0 1;1

  1. Is there a dominant strategy? Is/are there Nash equilibriums
  2. What would change if they are making their plans on cleaning before actually doing it (playing sequentially).

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