May I recommend an explanation of what economists mean by “Bayesian”? See it everywhere but, even though I’ve googled the term looking for some simple, understandable definition, I just cannot grasp it.
1. I don’t use that term much, if at all. So maybe someone else should answer it.
2. A Bayesian as opposed to what? In statistics, the opposite is a Frequentist. The difference is one of interpretation, and it shows up, for example, in the interpretation of a confidence interval. Suppose we poll a sample of voters and find that 55 percent support policy X, with a margin of error of + or – 3 percent at a 90 percent confidence interval. A Bayesian statistician would be comfortable saying that these results indicate that there is a 90 percent chance that the true proportion of supporters in the overall population is between 52 and 58. The frequentist philosophy is that the proportion of supporters in the overall population is what it is. You cannot make probability statements about it. What you can say about your confidence interval of 52 to 58 is that if the true proportion of supporters were outside of that interval, the probability that your poll would have found 55 percent supporters is less than 10 percent.
3. By analogy, I would guess that economists use the term Bayesian to describe someone who is willing to make probability statements that describe their degree of belief in a proposition that in practice has to be either true or false. When a weather forecaster says that there is a 20 percent chance of measurable precipitation tomorrow, that sounds like a Bayesian forecast. In the end, we will either have measurable precipitation or we won’t. The “20 percent chance” formulation says something like “I don’t expect rain, but I could turn out to be wrong.
4. “Bayesian” also refers to a process of updating predictions. As new information comes in, the forecaster may say, “Now I think that there is a 40 percent chance of measurable precipitation tomorrow.”
5. Similarly, a statement like “The Democrats will nominate an avowed socialist in 2020” is either going to turn out to be true or false. But a Bayesian would be willing to say something like “I give it a 10 percent chance” and then revise that probability up or down as new information develops.
In this case, the opposite of a Bayesian would be someone with firm beliefs that are not responsive to new information.
Again, I don’t apply the Bayesian label myself, so I am not sure that I am the best person to articulate the intent of thsoe who do use it.