If it chooses pepperoni, but refuses to swap mushroom for pepperoni then its decisions depend on how the situation is framed. How close does it have to get to the mushroom before they “have” mushroom and refuse to swap?
I previously suggested that revealing the two options as equivalent will bring the two subagents into a standstill, requiring some third factor to help decide. Which seems close to what happens if I introspect on what happens if I’m offered a choice between two foods that I think are equally good—I just decide at random or go by e.g. some force of habit that provides a slight starting point bias.
Relevant example.
I previously suggested that revealing the two options as equivalent will bring the two subagents into a standstill, requiring some third factor to help decide. Which seems close to what happens if I introspect on what happens if I’m offered a choice between two foods that I think are equally good—I just decide at random or go by e.g. some force of habit that provides a slight starting point bias.