This is really well presented and there are some surprising results. It would be good to add in gains from trade&#x2F;interaction to the model.<p>Economic theory suggests that agents would not willingly consent to transactions with negative expected returns and there are plenty of examples of mutually beneficial transactions in the real world (most goods I buy I would have been happy to pay more and the shop makes a profit).<p>In this context, it would be interesting to see the tradeoff between efficiency and equality with different allocation rules (and resulting transaction frequencies). This could in some way relate to the optimal taxation literature....