Rationing Rules Under Uncertain Claims: A Survey

Sinan Ertemel*, Rajnish Kumar

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

1 Citation (Scopus)

Abstract

We survey a recent line of literature that studies rationing rules when individuals have uncertain claims which can be represented as state-contingent claims or probability distributions. A rule must distribute shares before uncertainty resolves. We introduce proportional rules, parametric rules, equal-quantile rules, and expected waste-constrained uniform gains rules in this framework. We provide an axiomatic characterization of these rules using adaptations of standard axioms in the literature and some new axioms pertaining to uncertainty.

Original languageEnglish
Title of host publicationIndian Statistical Institute Series
PublisherSpringer Science and Business Media B.V.
Pages177-199
Number of pages23
DOIs
Publication statusPublished - 2021
Externally publishedYes

Publication series

NameIndian Statistical Institute Series
ISSN (Print)2523-3114
ISSN (Electronic)2523-3122

Bibliographical note

Publisher Copyright:
© 2021, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

Funding

We are grateful to Jingyi Xue for her many valuable comments and suggestions. We also would like to thank the two referees whose suggestions have helped improve this chapter. Rajnish Kumar acknowledges the financial support provided by British Council, UK, Grant UGC-UKIERI 2016-17-059.

FundersFunder number
British CouncilUGC-UKIERI 2016-17-059

    Keywords

    • equal-quantile rules
    • expected waste-constrained uniform gains rules
    • parametric rules
    • proportional rules
    • Rationing
    • risk
    • state-contingent claims
    • uncertainty

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