Laws of Large Numbers for Continuous Belief Measures on Compact Spaces
Yann Rebille
TL;DR
This paper establishes strong and weak laws of large numbers for outer continuous belief measures on compact spaces, extending classical measure laws with new methods in the context of belief measures.
Contribution
It provides new proofs of laws of large numbers for belief measures on compact spaces, differing from previous approaches by Marinacci.
Findings
Proves strong laws of large numbers for belief measures
Establishes weak laws of large numbers for belief measures
Extends classical measure laws to belief measure context
Abstract
We prove for outer continuous belief measures defined on compact spaces strong and weak laws of large numbers as Kolmogorov's one for measures. These results contribute to M. Marinacci's (Journal of Economic Theory 84 (1999) 145-195) though with different methods.
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Taxonomy
TopicsBayesian Modeling and Causal Inference · Economic theories and models · Game Theory and Voting Systems