Suppose you program a UDT-MMEU agent to care about just one particular world defined by some world program. The world program takes a single bit as input, representing the mysterious coin, and the agent represents uncertainty about this bit using a probability interval. You think that in this world the agent will either be offered only bet 1, or only bet 2, or the world will split into two copies with the agent being offered a different bet in each copy (analogous to your example). You have logical uncertainty as to which is the case, but the UDT-MMEU agent can compute and find out for sure which is the case. (I’m assuming this agent isn’t updateless with regard to logical facts but just computes as many of them as it can before making decisions.) Then UDT-MMEU would reject the bet unless it turns out that the world does split in two.
Unless I made a mistake somewhere, it seems like UDT-MMEU does retain “ambiguity-averse behaviour” and isn’t equivalent to any standard UDT agent, except in the sense that if you did know which version of the bet would be offered in this world, you could design a UDT agent that does the same thing as the UDT-MMEU agent.
Suppose you program a UDT-MMEU agent to care about just one particular world defined by some world program. The world program takes a single bit as input, representing the mysterious coin, and the agent represents uncertainty about this bit using a probability interval. You think that in this world the agent will either be offered only bet 1, or only bet 2, or the world will split into two copies with the agent being offered a different bet in each copy (analogous to your example). You have logical uncertainty as to which is the case, but the UDT-MMEU agent can compute and find out for sure which is the case. (I’m assuming this agent isn’t updateless with regard to logical facts but just computes as many of them as it can before making decisions.) Then UDT-MMEU would reject the bet unless it turns out that the world does split in two.
Unless I made a mistake somewhere, it seems like UDT-MMEU does retain “ambiguity-averse behaviour” and isn’t equivalent to any standard UDT agent, except in the sense that if you did know which version of the bet would be offered in this world, you could design a UDT agent that does the same thing as the UDT-MMEU agent.