|  | 
	
		|  | 
	
		| Shumei  Hirai | 
	
		|  | 
	
		| ''Existence and Uniqueness of Pure Nash Equilibrium in Asymmetric Contests with Endogenous Prizes'' | 
	
		| ( 2012, Vol. 32 No.4 ) | 
	
		|  | 
	
		|  | 
	
		| This paper considers a contest with an endogenous prize, which is increasing in aggregate efforts of the players. Each player may have a different valuation of the prize and a different ability to convert expenditures to productive efforts. Under standard assumptions in the literature, we prove that there exists a unique pure Nash equilibrium in asymmetric contests with endogenous prizes. | 
	
		|  | 
	
		|  | 
	
		| Keywords: Contests,  Endogenous prize,  Existence and uniqueness | 
	
		| JEL: D7 - Analysis of Collective Decision-Making: General 
 | 
	
		|  | 
	
		| | Manuscript Received : Aug 03 2012 |  | Manuscript Accepted : Oct 05 2012 | 
 |