scholarly journals A NOTE ON BLACKWELL'S THEOREM FOR FUZZY VARIABLES

2016 ◽  
Vol 34 (3_4) ◽  
pp. 355-357
Author(s):  
DUG HUN HONG
Keyword(s):  
Fuzzy Variables ◽  
Blackwell's Theorem ◽  
Blackwell’S Theorem

scholarly journals A Rothschild-Stiglitz Approach to Bayesian Persuasion

2016 ◽  
Vol 106 (5) ◽  
pp. 597-601 ◽  
Author(s):  
Matthew Gentzkow ◽  
Emir Kamenica
Keyword(s):  
Distribution Function ◽  
Convex Functions ◽  
Cumulative Distribution Function ◽  
Random Variables ◽  
Cumulative Distribution ◽  
Blackwell's Theorem ◽  
Blackwell’S Theorem

Rothschild and Stiglitz (1970) represent random variables as convex functions (integrals of the cumulative distribution function). Combining this representation with Blackwell's Theorem (1953), we characterize distributions of posterior means that can be induced by a signal. This characterization provides a novel way to analyze a class of Bayesian persuasion problems.

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