Question
Suppose an ice cream store carries the following flavors: Apple (a), Brownie Batter (b), Death by chocolate (d), and Enigma flavor (e). Suppose that a
Suppose an ice cream store carries the following flavors: Apple (a), Brownie Batter (b), Death by chocolate (d), and Enigma flavor (e). Suppose that a friend of yours makes choices as follows:
- If available, they choose Enigma flavor and only enigma flavor
- If Enigma flavor is not available and death by chocolate is available, they pick Death by chocolate and only Death by chocolate
- If neither Death by chocolate nor enigma flavor are available, they would not reject any alternative
Question: What is the choice correspondence of this friend of yours (you may use the space below for your answer). Does it satisfy ? Does it satisfy ? For each of these axioms, if you answer yes, explain why; if you answer no, show an instance of the axiom's violation.
- c({a, b}) ={ }
- c({a, d}) ={ }
- c({a, e}) ={ }
- c({b, d}) ={ }
- c({b, e}) ={ }
- c({d, e}) ={ }
- c({a, b, d}) ={ }
- c({a, b, e}) ={ }
- c({b, d, e}) ={ }
- c({a, d, e}) ={ }
- c({a, b, d, e}) ={ }
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