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On the Provision of Public Goods in Dynamic Contracts: Lack of Commitment

Author

Listed:
  • Christine Hauser

    () (Economics University of Rochester)

  • Gokce Uysal

Abstract

We study a model of efficient risk sharing between two agents, A and B, who enjoy a non-durable common good. Only agent B can provide the common good whereas agent A can merely contribute indirectly by making transfers to the provider, agent B. We consider self-enforcing equilibria in the absence of commitment. We characterize the Pareto frontier of the subgame perfect equilibrium payoffs. The main results are: First, the consumption of the public good is significantly more stable than are the private consumptions. Second, in the absence of aggregate uncertainty, agents' consumptions are invariant to distribution of income in most cases. In the remaining cases, private consumptions and continuation values covary positively with respective incomes. Third, if some first best allocation is sustainable, the long-term equilibrium converges to the first best allocation. Otherwise, agents' utilities oscillate over a finite set of values. We find that an increase in the provider's deviation lifetime utility shifts the frontier of the set of subgame perfect equilibrium payoffs to exclude the lowest values of the provider (hence the highest values of the other). A decrease in the provider's deviation lifetime utility shifts the frontier of the set to include lower values for the provider (hence higher values for the other)

Suggested Citation

  • Christine Hauser & Gokce Uysal, 2006. "On the Provision of Public Goods in Dynamic Contracts: Lack of Commitment," 2006 Meeting Papers 860, Society for Economic Dynamics.
  • Handle: RePEc:red:sed006:860
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    References listed on IDEAS

    as
    1. Thomas, Jonathan & Worrall, Tim, 1990. "Income fluctuation and asymmetric information: An example of a repeated principal-agent problem," Journal of Economic Theory, Elsevier, vol. 51(2), pages 367-390, August.
    2. Kehoe, Timothy J & Levine, David K, 2001. "Liquidity Constrained Markets versus Debt Constrained Markets," Econometrica, Econometric Society, vol. 69(3), pages 575-598, May.
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    More about this item

    Keywords

    mutual insurance; lack of commitment; optimal dynamic contract; public good;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General

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