MUTUAL INSURANCE WITH ASYMMETRIC INFORMATION: THE CASE OF ADVERSE SELECTION

This paper examines the impact of risk heterogeneity and asymmetric information on mutual risk-sharing agreements. It displays the optimal incentive compatible sharing rule in a simple two-agent model with two levels of risk. When individual risk is public information, equal sharing of wealth is not achievable when risk heterogeneity is too large or when risk aversion is too low. However the mutualization principle still holds as agents only bear aggregate risk. This result no longer holds when risk is private information. Moreover, the asymmetry of information (i) makes equal sharing unsustainable when both individuals are low risk types (ii) induces some exchanges when agents have the same level of initial wealth and (iii) induces changes in the direction of transfer with respect to the complete information benchmark in some states of nature when risk types are independent and absolute risk aversion is decreasing and convex.Mutual agreements; Asymmetric information; Mechanism Design

Capital reserve policy, regulation and credibility in insurance

The aim of this paper is to analyze the need for capital and default regulation in insurance. Proponents of deregulation argue that these requirements are useless as insurers would hold enough capital as soon as the insured are fully informed about their default probability. Adding to the purpose the relationship between an insurer and her security holders (that is the issuance and dividend policy) we show that the second best capital reserve decided by the security holders is suboptimal whenever the return on cash inside the firm is smaller than outside. Because of limited commitment on recapitalization, disclosure of information may not be enough. Given these characteristics, State commitment to recapitalize could be an alternative regulation policy.insurance, capital reserve, regulation, recapitalization

Genetic Information: Comparing Alternative Regulatory Approaches when Prevention Matters

We compare the alternative approaches for regulating genetic information in the health insurance market when prevention measures are available. In the model, firms offer insurance contracts to consumers who are initially uninformed of their risk type but can obtain such information by performing a costless genetic test. A crucial ingredient of our analysis is that information has decision-making value since it allows for optimal choice of a self-insurance action (secondary prevention). We focus on the welfare properties of market equilibria obtained under the different regulatory schemes and, by using an intuitive graphical analysis, we rank them unambiguously. Our results show that Disclosure Duty weakly dominates the other regulatory schemes and that Strict Prohibition represents the worst regulatory approach

MUTUAL INSURANCE WITH ASYMMETRIC INFORMATION: THE CASE OF ADVERSE SELECTION

This paper examines the impact of risk heterogeneity and asymmetric information on mutual risk-sharing agreements. It displays the optimal incentive compatible sharing rule in a simple two-agent model with two levels of risk. When individual risk is public information, equal sharing of wealth is not achievable when risk heterogeneity is too large or when risk aversion is too low. However the mutualization principle still holds as agents only bear aggregate risk. This result no longer holds when risk is private information. Moreover, the asymmetry of information (i) makes equal sharing unsustainable when both individuals are low risk types (ii) induces some exchanges when agents have the same level of initial wealth and (iii) induces changes in the direction of transfer with respect to the complete information benchmark in some states of nature when risk types are independent and absolute risk aversion is decreasing and convex

Capital reserve policy, regulation and credibility in insurance

The aim of this paper is to analyze the need for capital and default regulation in insurance. Proponents of deregulation argue that these requirements are useless as insurers would hold enough capital as soon as the insured are fully informed about their default probability. Adding to the purpose the relationship between an insurer and her security holders (that is the issuance and dividend policy) we show that the second best capital reserve decided by the security holders is suboptimal whenever the return on cash inside the firm is smaller than outside. Because of limited commitment on recapitalization, disclosure of information may not be enough. Given these characteristics, State commitment to recapitalize could be an alternative regulation policy

Risk-sharing with self-insurance: the role of cooperation

We analyze mutual insurance arrangements (policies based on risk-sharing among a pool of policyholders) when consumers choose a self-insurance effort, that is an effort decreasing the size of any loss occurring. We consider both cooperative and non-cooperative strategies in the effort choice. Cooperation among policyholders leads to the full internalization of the positive impact the effort exerts on the premium. We show that, for an infinite size of pool, with cooperation first-best efficiency is achieved. Moreover, cooperation is sustained as an equilibrium in a repeated interaction game for a sufficiently low size of pool. An interesting implication of our results is that a cooperative mutual policy can dominate a stock insurance contract. Simulations show that mutual insurance with cooperation as an equilibrium dominates a second-best stock-type insurance policy even when pool size is low.Mutual arrangement; self-insurance; positive externality on the insurance premium; cooperation

Risk-sharing with self-insurance: the role of cooperation

We analyze mutual insurance arrangements (policies based on risk-sharing among a pool of policyholders) when consumers choose a self-insurance effort, that is an effort decreasing the size of any loss occurring. We consider both cooperative and non-cooperative strategies in the effort choice. Cooperation among policyholders leads to the full internalization of the positive impact the effort exerts on the premium. We show that, for an infinite size of pool, with cooperation first-best efficiency is achieved. Moreover, cooperation is sustained as an equilibrium in a repeated interaction game for a sufficiently low size of pool. An interesting implication of our results is that a cooperative mutual policy can dominate a stock insurance contract. Simulations show that mutual insurance with cooperation as an equilibrium dominates a second-best stock-type insurance policy even when pool size is low

Business Training Allocation and Credit Scoring: Theory and Evidence from Microcredit in France

The microcredit market, where inexperienced micro-borrowers meet experienced microfinance institutions (MFIs), is subject to reversed asymmetric information. Thus, MFIs' choices can shape borrowers' beliefs and their behavior. We analyze how this mechanism may influence microfinance institution decisions to allocate business training. By means of a theoretical model, we show that superior information can lead the MFI not to train (or to train less) riskier borrowers. We then investigate whether this mechanism is empirically relevant, using data from a French MFI. Confirming our theoretical reasoning, we find a non-monotonic relationship between the MFI's decision to train and the risk that micro-borrowers represent

Prevention in Health Insurance: a Welfare Analysis of Participating Policies

Preventive care should be subsidized in traditional insurance contracts since policyholders ignore the benefit of their prevention choice on the insurance premium (Ellis and Manning, 2007 JHE). We study participating policies as risk-sharing agreements among policyholders who decide how much to invest in secondary prevention. We explore under which conditions these policies allow partial or even full internalization of prevention benefits in an environment with repeated interactions between policy holders. Welfare generated by the risk-sharing agreement is increasing with the size of the pool, but at the same time the pool size must not be too large for cooperation to sustain the internalization benefits