Title
The Free Rider Problem: a Dynamic Analysis
Author(s)
Marco Battaglini Marco Battaglini (Princeton University)
Salvatore Nunnari Salvatore Nunnari (California Institute of Technology)
Thomas Palfrey Thomas Palfrey (California Institute of Technology)
Abstract
We present a dynamic model of free riding in which infinitely lived agents choose between private consumption and contributions to a durable public good. We characterize the set of continuous Markov equilibria in economies with reversibility, where investments can be positive or negative; and in economies with irreversibility, where investments are non negative and can only be reduced by depreciation. With reversibility, there is a continuum of equilibrium steady states: the highest equilibrium steady state of is increasing in, and the lowest is decreasing. With irreversibility, the set of equilibrium steady states converges to the highest steady state possible with reversibility, as depreciation converges to zero. We also show that in economies with reversibility there are always non-monotonic equilibria in which converges to the steady state with damped oscillations; and there can be equilibria with persistent limit cycles.
Creation Date
2011-07
Section URL ID
ET
Paper Number
wp021_2011_Battaglini_Nunnari_Pafrey.pdf
URL
http://detc.princeton.edu/wp-content/uploads/2016/11/wp021_2011_Battaglini_Nunnari_Pafrey.pdf
File Function
Jel
C010, C500
Keyword(s)
free rider problem, model, cycles
Suppress
false
Series
10