Apartments don't have a single intrinsic "desirability" value. Different people assign different values to the same apartment. If you think about it, the fact that different people can value a thing differently is the only reason any deals happen at all. The sum you agree to pay is a proxy for the value you place on the thing.
No, you can't assume without loss of generality that the person who was previously in my parents' apartment will be willing or able to move to mine. It depends on the relationship between X and Y.
No, you can't assume without loss of generality that the person who was previously in my parents' apartment will be willing or able to move to mine. It depends on the relationship between X and Y.
But the set of living spaces is the same as before. Can't we assume for simplicity that, even if it's not as simple as two people swapping places with each other, what we have is a 'permutation' such that all previously occupied houses and apartments remain occupied?
Then once again we can factor the change into (1) a permutation and (2) a change of rent, and as...
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