The genericity of obvious manipulations under the Egalitarian Walrasian rule when preferences are linear
We study the incentives properties of one of the central solutions to the problem
of allocating divisible commodities among equally entitled agents, namely the Egali-
tarian Walrasian rule (EW), when agents have linear preferences. The EW rule being
manipulable on this domain, we ask whether it is, at least, immune to obvious ma-
nipulations, in the sense of Troyan and Morrill (2020). Unfortunately, the answer is
negative. This manipulability result is generic since we show that any agent for whom
all the commodities are desirable has an obvious manipulation.
Keywords: Fair allocation, obvious manipulations, competitive equilibrium, Egalitarian
Walrasian rule, linear preferences.
JEL classification: C72; D63; D71; D82.