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Steven Shavell & Laurence Weiss, The Optimal Payment of Unemployment Insurance Benefits over Time, 87 J. Pol. Econ. 1347 (1979).

Abstract: The primary purpose of unemployment insurance (U.I.) is no doubt to insure individuals against loss of wage income. However, U.I. is commonly believed to adversely affect job search behavior and to lengthen the duration of unemployment. With these issues in mind, this paper asks how U.I. benefits ought to be paid out over time. Specifically, the paper uses a theoretical model to determine characteristics of the time sequence of benefits that maximizes the expected utility of the unemployed, given that they act in a self-interested way and given the total size of the U.I. budget.