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Erdil, A.

Strategy-Proof Stochastic Assignment

CWPE1333

Abstract: I study strategy-proof assignment mechanisms where the agents reveal their preference rankings over the available objects. A stochastic mechanism returns lotteries over deterministic assignments, and mechanisms are compared according to first-order stochastic dominance. I show that non-wasteful strategy-proof mechanisms are not dominated by strategy-proof mechanisms, however nonwastefulness is highly restrictive when the mechanism involves randomization. In fact, the Random Priority mechanism (i.e., the Random Serial Dictatorship), and a recently adopted school choice mechanism, Deferred Acceptance with Random Tie-breaking, are wasteful. I find that both these mechanisms are dominated by strategy-proof mechanisms. In general, strategy-proof improvement cannot be due to merely reshuffling objects, and therefore must involve assigning more objects.

Author links: Aytek Erdil  

PDF: http://www.econ.cam.ac.uk/research-files/repec/cam/pdf/cwpe1333.pdf

Open Access Link: https://doi.org/10.17863/CAM.5739