Yeah so you might think ‘Given perfect information, no agent would have a preferential gap between any two options.’ But this is quite a strong claim! And there are other plausible examples of preferential gaps even in the presence of perfect information, e.g. very different ice cream flavors:
Consider a trio of ice cream flavors: buttery and luxurious pistachio, bright and refreshing mint, and that same mint flavor further enlivened by chocolate chips. You might lack a preference between pistachio and mint, lack a preference between pistachio and mint choc chip, and yet prefer mint choc chip to mint.
Note also that if we adopt a behavioral definition of preference, the existence of preferential gaps is pretty much undeniable. On other definitions, their existence is deniable but still very plausible.
Yeah so you might think ‘Given perfect information, no agent would have a preferential gap between any two options.’ But this is quite a strong claim! And there are other plausible examples of preferential gaps even in the presence of perfect information, e.g. very different ice cream flavors:
Note also that if we adopt a behavioral definition of preference, the existence of preferential gaps is pretty much undeniable. On other definitions, their existence is deniable but still very plausible.