Game Theory question:
A cake is divided among three people as follows:
P cuts the cakes into halves;
J chooses her half of the cake;
P & J then cut EACH OTHER'S half into what they consider to be equal thirds;
W then takes a piece from each player.
Are P, J, and W all guaranteed at least one-third of the cake by their own assessment?

Question

Game Theory question:
A cake is divided among three people as follows:
P cuts the cakes into halves;
J chooses her half of the cake;
P & J then cut EACH OTHER'S half into what they consider to be equal thirds;
W then takes a piece from each player.
Are P, J, and W all guaranteed at least one-third of the cake by their own assessment?

mathmath333 · Answer

what does this line mean "P & J then cut EACH OTHER'S half into what they consider to be equal thirds;"

equal thirds of the original size of cake ..

anonymous · Answer

After step 2, P & J have 1/2 of the cake. Then P cuts J's 1/2-cake into three "equal pieces" and vice versa. So after step 3, P & J each have 3 pieces of cake, approx. 1/6 of the cake each. Up until this point, W doesn't have any cake.

mathmath333 · Answer

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