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تسجيل مستخدم جديدA Partial Order on Preference Profiles
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Wayne Yuan Gao
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We propose a theoretical framework under which preference profiles can be meaningfully compared. Specifically, given a finite set of feasible allocations and a preference profile, we first define a ranking vector of an allocation as the vector of all individuals rankings of this allocation. We then define a partial order on preference profiles and write $P geq P^{}$, if there exists an onto mapping $psi$ from the Pareto frontier of $P^{}$ onto the Pareto frontier of $P$, such that the ranking vector of any Pareto efficient allocation $x$ under $P^{}$ is weakly dominated by the ranking vector of the image allocation $psi(x)$ under $P$. We provide a characterization of the maximal and minimal elements under the partial order. In particular, we illustrate how an emph{individualistic} form of social preferences can be $trianglerighteqslant$-maximal in a specific setting. We also discuss how the framework can be further generalized to incorporate additional economic ingredients.
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