Uses of Bayesian Probability Models in Game Theory

1982 ◽  
pp. 171-183
Author(s):  
John C. Harsanyi
Entropy ◽  
2018 ◽  
Vol 20 (12) ◽  
pp. 975 ◽  
Author(s):  
Raffael Krismer

Contemporary non-representationalist interpretations of the quantum state (especially QBism, neo-Copenhagen views, and the relational interpretation) maintain that quantum states codify observer-relative information. This paper provides an extensive defense of such views, while emphasizing the advantages of, specifically, the relational interpretation. The argument proceeds in three steps: (1) I present a classical example (which exemplifies the spirit of the relational interpretation) to illustrate why some of the most persistent charges against non-representationalism have been misguided. (2) The special focus is placed on dynamical evolution. Non-representationalists often motivate their views by interpreting the collapse postulate as the quantum mechanical analogue of Bayesian probability updating. However, it is not clear whether one can also interpret the Schrödinger equation as a form of rational opinion updating. Using results due to Hughes & van Fraassen as well as Lisi, I argue that unitary evolution has a counterpart in classical probability theory: in both cases (quantum and classical) probabilities relative to a non-participating observer evolve according to an entropy maximizing principle (and can be interpreted as rational opinion updating). (3) Relying on a thought-experiment by Frauchiger and Renner, I discuss the differences between quantum and classical probability models.


Author(s):  
Yu-Cheol Lee ◽  
Wonpil Yu ◽  
Jong-Hwan Lim ◽  
Wan Kyun Chung ◽  
Dong-Woo Cho

This paper presents a method for building a probability grid map for autonomous mobile robots with ultrasonic sensors using a footprint association filter (FAF). The method is based on evaluating the possibility that the acquired sonar data are all reflected by the same object. The FAF is able to associate data points with each other. Data affected by specular reflection are not likely to be associated with the same object, so they are excluded from the data cluster by the FAF, thereby improving the reliability of the data used for the probability grid map. Since the corrupted data are not used to update the probability map, it is possible to build a good quality grid map even in a specular environment. The FAF was applied to the Bayesian probability models, which are typical models used to build grid maps, to verify its effectiveness. Experimental results were also obtained using a mobile robot in a ubiquitous home environment.


Author(s):  
Ein-Ya Gura ◽  
Michael Maschler
Keyword(s):  

Author(s):  
Zhu Han ◽  
Dusit Niyato ◽  
Walid Saad ◽  
Tamer Basar ◽  
Are Hjorungnes

1967 ◽  
Vol 12 (7) ◽  
pp. 360-361 ◽  
Author(s):  
BERNHARDT LIEBERMAN
Keyword(s):  

Nature China ◽  
2008 ◽  
Author(s):  
Felix Cheung
Keyword(s):  

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