An Equilibrium Analysis of Knaster’s Fair Division Procedure

An Equilibrium Analysis of Knaster’s Fair Division Procedure

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In an incomplete information setting, we analyze the sealed bid auction proposed by Knaster (cf.Steinhaus (1948)).This procedure was designed to efficiently and fairly allocate multiple indivisible items when participants report their valuations truthfully.In equilibrium, cinderella curtsy players do not follow truthful bidding strategies.

We find that, ex-post, the equilibrium allocation is still efficient but may not be fair.However, on average, participants receive the same outcome they would have bar vac 7 somnus received if everyone had reported truthfully—i.e., the mechanism is ex-ante fair.