Rationing rules for risky claims


Chatterjee S., Ertemel S., Kumar R.

Journal of Mathematical Economics, cilt.108, 2023 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 108
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1016/j.jmateco.2023.102868
  • Dergi Adı: Journal of Mathematical Economics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Social Sciences Citation Index (SSCI), Scopus, International Bibliography of Social Sciences, ABI/INFORM, Business Source Elite, Business Source Premier, EconLit, INSPEC, MathSciNet, zbMATH
  • Anahtar Kelimeler: Ex-ante rules, Ex-post rules, Rationing, State-contingent claims
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

We study rationing rules in a scenario where individuals have state-contingent claims over a resource. The rules must allocate shares before the resolution of uncertainty. We begin by characterizing ex-ante rules based on how they handle the inherent uncertainty in individual claims. The key axiom is “No Penalty for Risk”, which states that the rule should not penalize an individual if a situation differs from another only in terms of the presence of risk in the former situation compared to the latter situation's riskless claim. Regarding ex-post characterizations, our primary axiom is “Indifference to Independent Combination of Gambles”. If an individual has risk-neutral expected utility preferences, any rule that makes them indifferent between a given rationing problem and a corresponding independent combination of gambles between a degenerate gamble and a zero game (any rationing problem with a zero endowment) must be in the ex-post form. Lastly, we provide a partial comparative static result that supports the claim that individuals generally prefer ex-ante rules to ex-post rules when the resource level is low enough.