Anticomonotonicity for preference axioms: The natural counterpart to comonotonicity

• 成果类型: Article
• 署名作者: Principi, Giulio; Wakker, Peter P.; Wang, Ruodu
• 署名单位: New York University; Erasmus University Rotterdam - Excl Erasmus MC; Erasmus University Rotterdam; University of Waterloo
• 刊物名称: THEORETICAL ECONOMICS
• ISSN/ISSBN: 1933-6837
• DOI: 10.3982/TE5799
• 发表日期: 2025
• 关键词: expected utility; RISK; REPRESENTATION; aversion

摘要

Comonotonicity (same variation) of random variables minimizes hedging possibilities and has been widely used, e.g., in Gilboa and Schmeidler's ambiguity models. This paper investigates anticomonotonicity (opposite variation (AC)), the natural counterpart to comonotonicity. It minimizes leveraging rather than hedging possibilities. Surprisingly, AC restrictions of several traditional axioms do not give new models. Instead, they strengthen the foundations of existing classical models: (a) linear functionals through Cauchy's equation; (b) Anscombe-Aumann expected utility; (c) as-if risk-neutral pricing through no-arbitrage; (d) de Finetti's bookmaking foundation of Bayesianism using subjective probabilities; (e) risk aversion in Savage's subjective expected utility. In each case, our generalizations show where the critical tests of classical axioms lie, i.e., in the AC cases (maximal hedges). We next present examples where AC restrictions do essentially weaken existing axioms, and do provide new properties and new models.