...which is not a good look for Cheliax.

"Having one less degree-of-freedom than the number of fruits, with each new fruit after the first having one degree-of-freedom for entering the constraint-system, is definitely equivalent to being able to price all the other fruits in one fruit.  But that's not the same condition as 'trading rules that can't get traded down to one cherry'."

"What's missing... I think is, if somebody else offers you to trade a banana for thirteen cherries, and then to trade twelve of those cherries for a banana, you have to take them up on that.  If you don't, that counts as a terrible misfortune."

"I claim that the two conditions of 'you can't be traded down' and 'you don't miss trades that take you up' is equivalent to being able to price everything in cherries.  Assuming there are any cherries in the system in the first place."

...which is not a good look for Cheliax.

"Having one less degree-of-freedom than the number of fruits, with each new fruit after the first having one degree-of-freedom for entering the constraint-system, is definitely equivalent to being able to price all the other fruits in one fruit.  But that's not the same condition as 'trading rules that can't get traded down to one cherry'."

"What's missing... I think is, if somebody else offers you to trade a banana for thirteen cherries, and then to trade twelve of your cherries for a banana, you have to take them up on that.  If you don't, that counts as a terrible misfortune."

"I claim that the two conditions of 'you can't be traded down' and 'you don't miss trades that take you up' is equivalent to being able to price everything in cherries.  Assuming there are any cherries in the system in the first place."