| 
	
	
		|   | 
	
	
		| Arthur J.  Robson and Philip J.  Reny | 
	
	
		|   | 
	
	
		| ''Existence of subgame perfect equilibrium with public randomization: A short proof'' | 
	
	
		| ( 2002, Vol. 3 No.24 ) | 
	
	
		|   | 
	
	
		|   | 
	
	
		| Consider a multi-stage game where each player has a compact choice set and payoffs are continuous in all such choices. Harris, Reny and Robson (1995) prove existence of a subgame perfect equilibrium as long as a public correlation device is added to each stage. They achieve this by showing that the subgame perfect equilibium path correspondence is upper hemicontinuous. The present paper gives a short proof of existence that focuses on equilibrium payoffs rather than paths. | 
	
	
		|   | 
	
	
		|   | 
	
	
		| Keywords: Existence | 
	
	
		 | 
	
	
		|   | 
	
	
		| Manuscript Received : Oct 11 2002 |   | Manuscript Accepted : Oct 11 2002 |  
  |