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 language | English |
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Title of host publication | Indian Statistical Institute Series |
Publisher | Springer Science and Business Media B.V. |
Pages | 177-199 |
Number of pages | 23 |
DOIs | |
Publication status | Published - 2021 |
Externally published | Yes |
Publication series
Name | Indian Statistical Institute Series |
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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.
Funders | Funder number |
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British Council | UGC-UKIERI 2016-17-059 |
Keywords
- equal-quantile rules
- expected waste-constrained uniform gains rules
- parametric rules
- proportional rules
- Rationing
- risk
- state-contingent claims
- uncertainty