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Endogenous Information and Self-Insurance in Insurance Markets : a Welfare Analysis

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HAL Id: halshs-00411337

https://halshs.archives-ouvertes.fr/halshs-00411337

Preprint submitted on 27 Aug 2009

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Endogenous Information and Self-Insurance in Insurance Markets : a Welfare Analysis

Francesca Barigozzi, Dominique Henriet

To cite this version:

Francesca Barigozzi, Dominique Henriet. Endogenous Information and Self-Insurance in Insurance

Markets : a Welfare Analysis. 2006. �halshs-00411337�

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GREQAM

Groupement de Recherche en Economie Quantitative d'Aix-Marseille - UMR-CNRS 6579 Ecole des Hautes Etudes en Sciences Sociales

Universités d'Aix-Marseille II et III

Document de Travail n°2006-39

ENDOGENOUS INFORMATION AND SELF-INSURANCE IN INSURANCE MARKETS:AWELFARE ANALYSIS

Francesca Barigozzi Dominique Henriet

September2006

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Endogenous Information and Self-Insurance in Insurance Markets: a Welfare Analysis

Francesca Barigozzi and Dominique Henriet

y

September 2006

Abstract

We develop a model where consumers

do not

have ex-ante private information on their risk but can decide to acquire such information be- fore insurance policy purchase. Adverse selection can arise endogenously in the insurance market. We focus on the case where information has decision-making value: information allows consumers to optimally choose a self-insurance action. We analyze insurance market response to endoge- nous information and consumers’incentive to search for such information.

Welfare costs caused by the lack of coverage against the risk to be a high risk are analyzed. The case of genetic testing serves as an illustration.

1 Introduction

The standard assumption in insurance models is that consumers are perfectly informed about their probability to incur a loss. In other words, individuals perfectly observe their risk (type), while insures do not. In insurance markets characterized by adverse selection, insurance …rms o¤er self-selecting contracts:

the well-known Rothschild/Stiglitz equilibrium allows insurers to separate the high- from the low-type consumers.

In many situations, however, consumers have only a vague perception of their probability of incurring a loss: they do not have ex-ante superior informa- tion. This is the case, for example, of health related risk. Nevertheless, recent developments in medical science makes genetic tests for many diseases available to consumers: whenever consumers choose to undertake a test, they decide to acquire more precise information about their risk. This means that individuals can learn information about their risk of illness before purchasing the insurance contract: information is endogenous.

Department of Economics, University of Bologna, Strada Maggiore 45, 40125 Bologna (Italy). E-mail: [email protected]

yEcole Centrale Marseille, GREQAM and IDEP, 2 rue de la Charité 13002 Marseille. E- mail: [email protected]

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