How do individuals with time-inconsistent preferences make consumption-savings decisions? We try to answer this question by considering the simplest possible form of consumption-savings problem, assuming that discounting is quasi-geometric. A solution to the decision problem is then a subgame-perfect equilibrium of a dynamic game between the individual's ‘successive selves’. When the time horizon is finite, our question has a well-defined answer in terms of primitives. When the time horizon is infinite, we are left without a sharp answer: we cannot rule out the possibility that two identical individuals in the exact same situation make different decisions! In particular, there is a continuum of dynamic equilibria even if we restrict attention to equilibria where current consumption decisions depend only on current wealth.
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Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number
2651.
Find related papers by JEL classification: C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games D90 - Microeconomics - - Intertemporal Choice and Growth - - - General E21 - Macroeconomics and Monetary Economics - - Macroeconomics: Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
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