Randomization with Asymmetric Information

Working Paper: NBER ID: w2507

Authors: Richard Arnott; Joseph E. Stiglitz

Abstract: It is by now well-known that, in the presence of moral hazard or adverse selection, randomization of insurance premia and benefits may be Pareto efficient. This paper: i) provides a typology of the various forms that randomization may take; ii) derives necessary and/or sufficient conditions for the desirability of these various forms of randomization; iii) obtains some simple characterization theorems of the efficient random policies; iv) gives some intuition behind the results; and v) considers why randomization appears to occur less often in practice than the theory suggests it should.

Keywords: randomization; asymmetric information; moral hazard; adverse selection; insurance

JEL Codes: D82; G22


Causal Claims Network Graph

Edges that are evidenced by causal inference methods are in orange, and the rest are in light blue.


Causal Claims

CauseEffect
randomization of insurance premiums and benefits (G22)Pareto efficiency (D61)
randomization mitigates moral hazard (D82)individuals exert more effort in accident prevention (J28)
effort levels in accident prevention (J28)overall welfare (I31)
desirability of randomization (C90)balancing welfare gains from reduced moral hazard and welfare losses from increased risk (G52)
conditions for randomization to be desirable (C90)convexity of the first-order condition for effort and degree of risk aversion (D11)
randomization as a self-selection device (C90)insurers differentiate between high- and low-risk individuals (G52)
complexity of contracts, costs of enforcement, and lack of trust (D86)rarity of randomization in practice (C90)

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