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5. There are 3 poker players, A, B, and 0. They each have referencedependent pref erences over money m, with a reference point of r.

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5. There are 3 poker players, A, B, and 0. They each have referencedependent pref erences over money m, with a reference point of r. Letting :1: = m 7", their utility functions are as follows: m if 3320 v14(56): 23: if a: S 0 if a: 2 0 913$) = \\/:1: if a: S 0 053:5 if a: 2 0 110(3)) = (:c)5 if :c S 0 (a) [2.5 points] graph vA(:z:) and 113(35). (b) [2.5 points] For player A and player B , state whether their preferences satisfy loss aversion or diminishing sensitivity. (c) [5 points] For what values of o: > 0 and 6 > 0 would player C's preferences satisfy loss aversion and diminishing sensitivity? Which parameter value captures which property? Assume that player 0 has linear probability weights (that is, she does not have prospect theory's nonlinear probabilityweighting function), then her expected utility of a fty 4

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