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# 18. Ken and Gerard ate teammates in a cluttered in room. Ifthey hath help to clean up each le a utility of eight It'nne eleansamithe ntherdnesnnt.

Ken and Gerard are roommates in a cluttered in room. If they both help to clean up each gets a utility of eight. If one cleans and the other does not, the one who does nothing gets a utility of ten while the one who does all the cleaning gets a utility of two. If neither cleans, they each get three units of utility.

a. Fill in the payoff matrix

b. Does Ken have a dominant strategy? Explain why (not).

18. Ken and Gerard ate teammates in a cluttered in room. Ifthey hath help to clean up each ﬁle a utility of eight It'nne eleansamithe ntherdnesnnt. the one whntlnesnnthinggetsantilitynftenwhile Ihenne
who does all the cleaning gets a utility nftwn. Ifneilher eleansi the§r each get three units nfntility.
1 Fill in the paynﬂ'matrbn {10} h. Does Ken have a dominant strategy? Explain why {not}. { 1D}

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