In Dialogue 1 I adjust my probability estimate as the bet is offered, no?
That’s a reasonable thing to do, but can you obtain something like De Finetti’s justification of probability via Dutch books that way?
The obvious steelman of dialogue participant A would keep the coin hidden but ready to inspect, so that A can offer bets having credible ignorance of the outcomes and B isn’t justified in updating on A offering the bet.
In Dialogue 1 I adjust my probability estimate as the bet is offered, no?
That’s a reasonable thing to do, but can you obtain something like De Finetti’s justification of probability via Dutch books that way?
The obvious steelman of dialogue participant A would keep the coin hidden but ready to inspect, so that A can offer bets having credible ignorance of the outcomes and B isn’t justified in updating on A offering the bet.