Quesada, Antonio (2009): A short step between democracy and dictatorship.
Download (146kB) | Preview
The majority rule and the hierarchically dictatorial rule are both characterized when preferences are defined over two alternatives. The majority rule is characterized in terms of seven axioms. The hierarchically dictatorial rule is characterized in terms of six of these seven axioms and the negation of the seventh, so each rule can be seen as obtained from the other by negating just one of the axioms. The pivotal axiom holds that, for societies with at least three members, the frequency with which indifference is the result of the preference aggregation must be smaller than the frequency with which one of the alternatives is declared preferred to the other.
|Item Type:||MPRA Paper|
|Original Title:||A short step between democracy and dictatorship|
|Keywords:||Social welfare function; majority rule; dictatorship; axiomatic characterization; two alternatives.|
|Subjects:||D - Microeconomics > D7 - Analysis of Collective Decision-Making > D71 - Social Choice ; Clubs ; Committees ; Associations|
|Depositing User:||Antonio Quesada|
|Date Deposited:||19. Dec 2009 15:10|
|Last Modified:||19. Feb 2013 18:27|
Aşan, G. and Sanver, M. R. (2002): “Another characterization of the majority rule”, Economics Letters 75, 409-413.
Chambers, C. P. (2008): “Consistent representative democracy”, Games and Economic Behavior 62, 348-363.
Fishburn, P. C. (1973): The Theory of Social Choice, Princeton University Press, Princeton, New Jersey.
May, K. O. (1952): “A set of independent, necessary and sufficient conditions for simple majority decision”, Econometrica 20, 680-684.
Miroiu, A. (2004): “Characterizing majority rule: From profiles to societies”, Economics Letters 85, 359-363.
Woeginger, G. J. (2003): “A new characterization of the majority rule”, Economics Letters 81, 89-94.
Woeginger, G. J. (2005): “More on the majority rule: Profiles, societies, and responsiveness”, Economics Letters 88, 7-11.
Xu, Y. and Zhong, Z. (2009): “Single profile of preferences with variable societies: A characterization of simple majority rule”, to appear in Economics Letters.