Arrow's theorem of the deductible with heterogeneous beliefs

<?xml version="1.0" encoding="UTF-8"?><modsCollection xmlns="http://www.loc.gov/mods/v3" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-8.xsd">
<mods version="3.8">
<titleInfo>
<title>Arrow's theorem of the deductible with heterogeneous beliefs</title>
</titleInfo>
<typeOfResource>text</typeOfResource>
<genre authority="marcgt">periodical</genre>
<originInfo>
<place>
<placeTerm type="code" authority="marccountry">esp</placeTerm>
</place>
<dateIssued encoding="marc">2017</dateIssued>
<issuance>serial</issuance>
</originInfo>
<language>
<languageTerm type="code" authority="iso639-2b">spa</languageTerm>
</language>
<physicalDescription>
<form authority="marcform">print</form>
</physicalDescription>
<abstract displayLabel="Summary">In Arrow¿s classical problem of demand for insurance indemnity schedules, it is well-known that the optimal insurance indemnification
for an insurance buyeror decision maker (DM)is a deductible contract when the insurer is a risk-neutral Expected-Utility (EU)
maximizer and when the DM is a risk-averse EU maximizer. In Arrow¿s framework, however, both parties share the same probabilistic
beliefs about the realizations of the underlying insurable loss. This article reexamines Arrow¿s problem in a setting where the DM and
the insurer have different subjective beliefs. Under a requirement of compatibility between the insurer¿s and the DM¿s subjective beliefs,
we show the existence and monotonicity of optimal indemnity schedules for the DM. The belief compatibility condition is shown to be a
weakening of the assumption of a monotone likelihood ratio. In the latter case, we show that the optimal indemnity schedule is a variable
deductible schedule, with a state-contingent deductible that depends on the state of the world only through the likelihood ratio. Arrow¿s
classical result is then obtained as a special case.</abstract>
<note type="statement of responsibility">Mario Ghossoub</note>
<subject xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="MAPA20080579258">
<topic>Cálculo actuarial</topic>
</subject>
<subject xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="MAPA20080607913">
<topic>Probabilidad de impago</topic>
</subject>
<subject xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="MAPA20080602437">
<topic>Matemática del seguro</topic>
</subject>
<classification authority="">6</classification>
<relatedItem type="host">
<titleInfo>
<title>North American actuarial journal</title>
</titleInfo>
<originInfo>
<publisher>Schaumburg : Society of Actuaries, 1997-</publisher>
</originInfo>
<identifier type="issn">1092-0277</identifier>
<identifier type="local">MAP20077000239</identifier>
<part>
<text>01/03/2017 Tomo 21 Número 1 - 2017 , p. 15-35</text>
</part>
</relatedItem>
<recordInfo>
<recordContentSource authority="marcorg">MAP</recordContentSource>
<recordCreationDate encoding="marc">170511</recordCreationDate>
<recordChangeDate encoding="iso8601">20170517163623.0</recordChangeDate>
<recordIdentifier source="MAP">MAP20170014423</recordIdentifier>
<languageOfCataloging>
<languageTerm type="code" authority="iso639-2b">spa</languageTerm>
</languageOfCataloging>
</recordInfo>
</mods>
</modsCollection>