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Learning About Probability
D.J.N. vanEijck
- 01 Jan 2013
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About: The article was published on 01 Jan 2013. and is currently open access.
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Citations
•Proceedings Article
Epistemic Probability Logic Simplified
Jan van Eijck,François Schwarzentruber +1 more
- 01 Jan 2014
TL;DR: A proof that multiple lottery models can always be replaced by single lottery models is given, and the PSPACE-completeness of the model checking in the dynamic version with action models is shown, which proves completeness and state results about model checking complexity.
Dynamic Epistemic Logics
Jan van Eijck
- 01 Jan 2014
TL;DR: This chapter gives an overview of dynamic epistemic logics, and traces some connections with propositional dynamic logic, with planning and with probabilistic updating.
•Posted Content
Belief as Willingness to Bet.
Jan van Eijck,Bryan Renne +1 more
TL;DR: Using Scott's theorem, the Lenzen-derivative properties that must be imposed on finite epistemic neighborhood models so as to guarantee the existence of a probability measure respecting the neighborhood function in the appropriate way for threshold $c=\frac 12$ are provided.
14
Varieties of Belief and Probability
Jan van Eijck
- 01 Jan 2015
TL;DR: In this paper, the authors focus on the notion of betting belief and interpret a language for knowledge and belief in two kinds of models: epistemic neighbourhood models and epistemic probability models.
Knowledge, Belief, Probabilities, Updates, Model Checking
van Jan Eijck
- 01 Jan 2014
TL;DR: This talk will present epistemic probability models with probabilistic updates, and will discuss an implementation that allows model checking the results of updates in a multi-agent setting and the attractions of functional programming.
1
References
Probability theory : the logic of science
TL;DR: In this article, a survey of elementary applications of probability theory can be found, including the following: 1. Plausible reasoning 2. The quantitative rules 3. Elementary sampling theory 4. Elementary hypothesis testing 5. Queer uses for probability theory 6. Elementary parameter estimation 7. The central, Gaussian or normal distribution 8. Sufficiency, ancillarity, and all that 9. Repetitive experiments, probability and frequency 10. Advanced applications: 11. Discrete prior probabilities, the entropy principle 12. Simple applications of decision theory 15.
5.9K
Games with Incomplete Information Played by Bayesian Players, I-III
TL;DR: The paper develops a new theory for the analysis of games with incomplete information where the players are uncertain about some important parameters of the game situation, such as the payoff functions, the strategies available to various players, the information other players have about the game, etc.
The Theory of Probability
TL;DR: This book is a searching analysis of the fundamental principles of the theory of probability and of the particular judgments involved in its application to concrete problems and is in agreement with the views expressed by Dr. Wrinch and the present reviewer.
1.4K
The Emergence of Probability. A Philosophical Study of Early Ideas about Probability, Induction and Statistical Inference
TL;DR: In this article, an absent family of ideas has been discussed, including duality, argumentation, evidence, and the Roannez circle, with a focus on the art of thinking.
890
The logic of public announcements, common knowledge, and private suspicions
Alexandru Baltag,Lawrence S. Moss,Sławomir Solecki +2 more
- 22 Jul 1998
TL;DR: This paper presents a logical system in which various group-level epistemic actions are incorporated into the object language and contains the infinitary operators used in the standard modeling of common knowledge.