A Unified Theorem of the Alternative

2023/03/13 by Ian Ball, Ball, Ian
Economics, Econometrics and Finance · #FOS: Economics and business #Game Theory and Voting Systems #Theoretical Economics (econ.TH)

paper · pdf · doi:10.48550/arxiv.2303.07471

openalex publication_date 2023/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This note presents a unified theorem of the alternative that explicitly allows for any combination of equality, componentwise inequality, weak dominance, strict dominance, and nonnegativity relations. The theorem nests 60 special cases, some of which have been stated as separate theorems.

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