WorksheetsArrow’s Impossibility Theorem
Total questions: 10
Worksheet time: 5mins
The general impossibility theorem was given by:
Samuel J. Bow
Kenneth J. Arrow
Samuel J. Arrow
Kenneth J. Spear
•Arrow provided a striking answer to a basic problem of democracy:
How can elections be made free and fair?
How can vote counting be done fairly?
How can preferences of many individuals be aggregated into social preferences?
How can a democracy be made of the people, for the people and by the people?
Arrow proved that __________-. This proof is called Arrow's impossibility theorem
a social welfare function is impossible to derive
a social welfare function can’t be derived by a democratic vote
an individual welfare function can’t be derived by a democratic vote
individual welfare functions can’t be combined into a social welfare function
Arrow's impossibility theorem is a _____ paradox illustrating the flaws of ranked voting systems.
social-choice
individual-choice
government-choice
candidate-choice
Arrow's impossibility theorem states that ___________ while adhering to mandatory principles of fair voting procedures.
a clear order of preferences can be determined
an ambiguous order of preferences cannot be determined
a clear order of preferences cannot be determined
an ambiguous order of preferences can be determined
All of the following are conditions for a Social Welfare Function to reflect Individual Preferences EXCEPT:
Unrestricted Domain and transitivity
Social Welfare choices must not be responsive in opposite direction to changes in individual preferences
Dictatorship
Social Welfare choices must be independent of Irrelevant Alternatives
If candidate A ranks ahead of candidate B and candidate B ranks ahead of candidate C, then candidate A ranks ahead of candidate C. This means that Social Welfare choices must be _______.
transparent
transitive
complete
independant
The condition of Pareto efficiency in Social Welfare choices means all of the following EXCEPT:
Unanimous individual preferences must be respected.
if every voter prefers candidate A over candidate B, candidate may possibly win.
If candidate A moves up in the ranking of one or more individuals and does not move down in the ranking of any other individual, then Candidate A cannot move down in the social welfare ranking.
If every voter prefers candidate A over candidate B, candidate A should win.
The condition that wishes of multiple voters should be taken into consideration is known as the condition of ________.
Variety
Multiplicity
Dictatorship
Non-dictatorship
The condition that Social Welfare choices must be independent of Irrelevant Alternatives, implies all of the following EXCEPT:
If a choice is removed, then the others' order should not change.
If candidate A ranks ahead of candidate B, candidate A should still be ahead of candidate B, even if a third candidate, candidate C, is removed from participation.
If a choice is removed, then the others' order should change.
If candidate A ranks ahead of candidate B, candidate A should still be ahead of candidate B, even if a third and a fourth candidate, candidate C and D, are removed from participation.
