Should She Switch? A Game-Theoretic Analysis of the Monty Hall Problem

1999 ◽  
Vol 72 (3) ◽  
pp. 214 ◽  
Author(s):  
Luis Fernandez ◽  
Robert Piron
Keyword(s):  
Theoretic Analysis ◽  
Game Theoretic Analysis ◽  
Game Theoretic ◽  
Monty Hall ◽  
Monty Hall Problem

scholarly journals A game theoretic approach reveals that discretizing clinical information can reduce antibiotic misuse

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Maya Diamant ◽  
Shoham Baruch ◽  
Eias Kassem ◽  
Khitam Muhsen ◽  
Dov Samet ◽  
...  
Keyword(s):  
Antibiotic Prescription ◽  
Clinical Information ◽  
Social Optimum ◽  
Theoretic Approach ◽  
Theoretic Analysis ◽  
Game Theoretic Analysis ◽  
Optimal Output ◽  
The Social ◽  
Game Theoretic ◽  
Game Theoretic Approach

AbstractThe overuse of antibiotics is exacerbating the antibiotic resistance crisis. Since this problem is a classic common-goods dilemma, it naturally lends itself to a game-theoretic analysis. Hence, we designed a model wherein physicians weigh whether antibiotics should be prescribed, given that antibiotic usage depletes its future effectiveness. The physicians’ decisions rely on the probability of a bacterial infection before definitive laboratory results are available. We show that the physicians’ equilibrium decision rule of antibiotic prescription is not socially optimal. However, we prove that discretizing the information provided to physicians can mitigate the gap between their equilibrium decisions and the social optimum of antibiotic prescription. Despite this problem’s complexity, the effectiveness of the discretization solely depends on the type of information available to the physician to determine the nature of infection. This is demonstrated on theoretic distributions and a clinical dataset. Our results provide a game-theory based guide for optimal output of current and future decision support systems of antibiotic prescription.

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