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A Dynamic Conjectural Variations Model in the Private Provision of Public Goods: a Differential Game Approach

  • Jun-ichi Itaya

    (Faculty of Economics, Hokkaido University, Japan)

  • Koji Shimomura

    (Research Institute for Economics & Business Administration (RIEB), Kobe University, Japan)

The purpose of this paper is to provide reasonable microfoundation to justify the concept of a conjectural valuations equilibrium which is often used in the literature on the private provision of public goods by incorporating an explicit dynamic process of learning with the help of the differential game. By interpreting the steady state conjectures in such a dynamic provision game as the conjectural variations variations in the corresponding static game, we derive zero or nonzero conjectural variations as an outcome of a learning process. Furthermore, we find that there may be uncountable conjectural variations and the possibility of matching behavior (i.e., positive conjectures), when nonlinear feedback strategies are available and when the domain of a state variable is appropriately restricted.

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Paper provided by Research Institute for Economics & Business Administration, Kobe University in its series Discussion Paper Series with number 104.

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Length: 33 pages
Date of creation: Sep 1999
Date of revision:
Handle: RePEc:kob:dpaper:104
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  1. Bergstrom, Theodore & Blume, Lawrence & Varian, Hal, 1986. "On the private provision of public goods," Journal of Public Economics, Elsevier, vol. 29(1), pages 25-49, February.
  2. Cornes, Richard & Sandler, Todd, 1985. "On the consistency of conjectures with public goods," Journal of Public Economics, Elsevier, vol. 27(1), pages 125-129, June.
  3. Costrell, Robert M., 1991. "Immiserizing growth with semi-public goods under consistent conjectures," Journal of Public Economics, Elsevier, vol. 45(3), pages 383-389, August.
  4. Shimomura, Koji, 1991. "The feedback equilibria of a differential game of capitalism," Journal of Economic Dynamics and Control, Elsevier, vol. 15(2), pages 317-338, April.
  5. Fershtman, Chaim & Nitzan, Shmuel, 1991. "Dynamic voluntary provision of public goods," European Economic Review, Elsevier, vol. 35(5), pages 1057-1067, July.
  6. Itaya, Jun-ichi & Dasgupta, Dipankar, 1995. "Dynamics, Consistent Conjectures, and Heterogeneous Agents in the Private Provision of Public Goods," Public Finance = Finances publiques, , vol. 50(3), pages 371-89.
  7. Scafuri, Allen J., 1988. "On consistency of conjectures in the private provision of public goods," Journal of Public Economics, Elsevier, vol. 37(3), pages 395-398, December.
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