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econ.TH2025
Arrow's Impossibility Theorem as a Generalisation of Condorcet's Paradox
Ori Livson, Mikhail Prokopenko
Arrow's Impossibility Theorem is a seminal result of Social Choice Theory that demonstrates the impossibility of ranked-choice decision-making processes to jointly satisfy a number…
math.LO2025
Comparing and Contrasting Arrow's Impossibility Theorem and Gödel's Incompleteness Theorem
Ori Livson, Mikhail Prokopenko
Incomputability results in Formal Logic and the Theory of Computation (i.e., incompleteness and undecidability) have deep implications for the foundations of mathematics and comput…