Working Paper No. 577

Uniqueness in Infinitely Repeated Decision Problems

Published: April 16, 2002Pages: 15Keywords: Game Theory, Time Preference; Hyperbolic Discounting; Repeated Decision ProblemsJEL-codes: C61; C72; C73; D90

Uniqueness in Infinitely Repeated Decision Problems Nicolas Vieille and Jörgen W. Weibull


Dynamic decision-making without commitment is usually modelled as a game between the current and future selves of the decision maker. It has been observed that if the time-horizon is infinite, then such games may have multiple subgame-perfect equilibrium solutions. We provide a sufficient condition for uniqueness in a class of such games, namely infinitely repeated decision problems with discounting. The condition is two-fold: the range of possible utility levels in the decision problem should be bounded from below, and the discount factor between successive periods should be non-decreasing over time, a condition met by exponential, quasi-exponential and hyperbolic discounting.

Integrating Immigrants into the Nordic Labour Markets

An Overall Perspective

Pages-from-2019-Calmfors-Gassen---Integrating-Immigrants-into-the-Nordic-Labour-Markets.gif

Denmark, Finland, Norway and Sweden face similar problems of integrating large groups of immigrants, especially low-educated ones from outside the EU, into their labour markets. In this volume, edited by Lars Calmfors, IFN, and Nora Sánchez Gassen in cooperation with researchers from across the Nordic Region analyse how labour market integration of immigrants can be promoted. 

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