Y7

4. Consider the following game between I? 2 2 identical players. A burglar is trying to enter a house late at night. All 11 neighbors see the disturbance. they know the homeowners are on vacation, and must simultaneously decide between two actions: (i) intervene by calling the police. or {ii} go back to bed. Going back to bed is costless. but. calling the cops is costly (e.g., staying awake longer). Calling the cops will cost c > 0. If nobod},r intervenes and the criminal successfully carries out the house raid. then all neighbors receive a. utility of zero. However. if at least one neighbor intervenes then all neighbors receive a benefit of b>c>L (a) 'What are the strategies? 1'Who are the players? \"hat are the payos associated to each vector of strategies? (b) Find a_ll PSNE and MSNE of this game