edgeworth boxlordWeitzman's 1974 "Prices vs Quantities" is another example of a broken symmetry in economics
https://scholar.harvard.edu/weitzman/files/prices_vs_quantities.pdf
In a standard model, a tax is equivalent to a quota: pick Q*, get P* or pick P* and get Q*. Weitzman (1974) shows this breaks when firms learn marginal costs and choose production levels after the regulator picks P* or Q*
In the standard model, payoffs are "conserved"; Weitzman's learning assumption breaks this conservation