Is Bayesian updating commutative?

Asked Jul 23 '19 at 06:55

Active Jun 19 '23 at 17:19

Viewed 161 times

Is Bayesian updating always commutative? For example, suppose two scientists share a prior. Each performs an experiment. Then they share the results with each other. Each Scientist saw her results first, and only then the result of her peer. Are we assured that their posterior view is the same?

Is this easy to prove?

edited Jul 23 '19 at 07:16

Nick Cox

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asked Jul 23 '19 at 06:55

user254474

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The updating is multiplicative which is a commutative operation – yoav_aaa Jul 23 '19 at 08:04
I'm afraid I didn't understand what do you mean by multiplicative, can you elaborate? – user254474 Jul 28 '19 at 07:34
you may benefit from reading about exchangibility. – John Madden Jun 19 '23 at 17:33
A related albeit vastly more complex topic is Aumann's agreement theorem. – Durden Jun 19 '23 at 21:31

Is Bayesian updating commutative?

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