|  | 
	
		|  | 
	
		| Arthur  Robson and Tiemen  Woutersen | 
	
		|  | 
	
		| ''Efficiency and converse reduction-consistency in collective choice'' | 
	
		| ( 2007, Vol. 4 No.28 ) | 
	
		|  | 
	
		|  | 
	
		| We consider the problem of selecting a subset of a feasible set over which each agent has a strict preference. We propose an invariance property, converse reduction-consistency, which is the converse of reduction-consistency introduced by Yeh (2006), and study its implications. Our results are two characterizations of the Pareto rule: (1) it is the only rule satisfying efficiency and converse reduction-consistency and (2) it is the only rule satisfying one-agent efficiency, converse reduction-consistency, and reduction-consistency. | 
	
		|  | 
	
		|  | 
	
		| Keywords: consistency  converse consistency  efficiency  Pareto rule  social choice correspondences. | 
	
		| JEL: D7 - Analysis of Collective Decision-Making: General 
 | 
	
		|  | 
	
		| | Manuscript Received : Jul 31 2007 |  | Manuscript Accepted : Aug 10 2007 | 
 |