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Functional sequential treatment allocation with covariates

Abstract:
We consider a sequential treatment problem with covariates. Given a realization of the covariate vector, instead of targeting the treatment with highest conditional expectation, the decision maker targets the treatment which maximizes a general functional of the conditional potential outcome distribution, e.g., a conditional quantile, trimmed mean, or a socio-economic functional such as an inequality, welfare or poverty measure. We develop expected regret lower bounds for this problem, and construct a near minimax optimal sequential assignment policy.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1017/S0266466623000051

Authors

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Institution:
University of Oxford
Division:
SSD
Department:
Economics
Oxford college:
St Hilda's College
Role:
Author
More by this author
Division:
SSD
Role:
Author


Publisher:
Cambridge University Press
Journal:
Econometric Theory More from this journal
Volume:
40
Issue:
6
Pages:
1211 - 1252
Publication date:
2023-03-16
Acceptance date:
2022-11-15
DOI:
EISSN:
1469-4360
ISSN:
0266-4666


Language:
English
Keywords:
Pubs id:
2309996
Local pid:
pubs:2309996
Deposit date:
2025-11-06
ARK identifier:

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