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Pareto efficient insurance contracts when the insurer's cost function is discontinuous

Dana, Rose-Anne; Carlier, Guillaume (2003), Pareto efficient insurance contracts when the insurer's cost function is discontinuous, Economic Theory, 21, 4, p. 871-893. http://dx.doi.org/10.1007/s00199-002-0281-z

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Type
Article accepté pour publication ou publié
Date
2003
Journal name
Economic Theory
Volume
21
Number
4
Publisher
Springer
Pages
871-893
Publication identifier
http://dx.doi.org/10.1007/s00199-002-0281-z
Metadata
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Author(s)
Dana, Rose-Anne
Carlier, Guillaume
Abstract (EN)
We consider the problem of efficient insurance contracts when the cost structure includes a fixed cost per claim. We prove existence of efficient insurance contracts and that the indemnity function in such contracts is non-decreasing in the damage. We further show that either there is no insurance, or the indemnity is positive for all losses, or efficient insurance contracts have a unique jump. We study variants of the model and provide a generalization to the case of non expected utilities. Our results are then applied to Townsend's model of deterministic auditing.
Subjects / Keywords
Discontinuous cost function; Auditing; Efficient insurance contracts
JEL
G22 - Insurance; Insurance Companies; Actuarial Studies
C61 - Optimization Techniques; Programming Models; Dynamic Analysis

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