7. Understanding Arrow\'s impossibility theorem Arrow\'s impossibility theorem s

Question

7. Understanding Arrow's impossibility theorem Arrow's impossibility theorem states that under certain assumptions about preferences, no voting system exists which satisfies all of the following properties: Unanimity Transitivity . Independence of Irrelevant Alternatives No dictators Assume individuals in a society have preferences regarding the following possible outcomes: A, B, and C. For each description in the following table, identify the property of a desirable voting system it portrays. Independence of Irrelevant Alternatives No Dictators UnanimityTransitivity Description The ranking between C and A does not depend on whether B is also available. If everyone prefers C to A, then C beats A.

Explanation / Answer

1 ) i)Independence of irerelevant alternatives

ii) Unanimity

iii) Transitivity

iv) No dictators

2) Independence of irrelevant alternatives property is violated.

Becuse the choice of person varies with the options available.

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