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Quantitative Relaxations of Arrow's Axioms
Suvadip Sana, Daniel Brous, Martin T. Wells, Moon Duchin
https://arxiv.org/abs/2506.12961 https://

Quantitative Relaxations of Arrow's Axioms
In this paper we develop a novel approach to relaxing Arrow's axioms for voting rules, addressing a long-standing critique in social choice theory. Classical axioms (often styled as fairness axioms or fairness criteria) are assessed in a binary manner, so that a voting rule fails the axiom if it fails in even one corner case. Many authors have proposed a probabilistic framework to soften the axiomatic approach. Instead of immediately passing to random preference profiles, we begin by measuring …

This https://arxiv.org/abs/2502.14879 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_eco…

Limited attention and models of choice: A behavioral equivalence
We show that many models of choice can be alternatively represented as special cases of choice with limited attention (Masatlioglu, Nakajima, and Ozbay, 2012), singling out the properties of the unobserved attention filters that explain the observed choices.For each specification, information about the DM's consideration sets and preference is inferred from violations of the contraction consistency axiom, and it is compared with the welfare indications obtained from equivalent models. Remarkabl…