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Repeated Commuting

  • Berliant, Marcus

We examine commuting in a game-theoretic setting with a continuum of commuters. Commuters' home and work locations can be heterogeneous. The exogenous transport network is arbitrary. Traffic speed is determined by link capacity and by local congestion at a time and place along a link, where local congestion at a time and place is endogenous. After formulating a static model, where consumers choose only routes to work, and a dynamic model, where they also choose departure times, we describe and examine existence of Nash equilibrium in both models and show that they differ, so the static model is not a steady state representation of the dynamic model. Then it is shown via the folk theorem that for sufficiently large discount factors the repeated dynamic model has as equilibrium any strategy that is achievable in the one shot game with choice of departure times, including the efficient ones. A similar result holds for the static model. Our results pose a challenge to congestion pricing. Finally, we examine evidence from St. Louis to determine what equilibrium strategies are actually played in the repeated commuting game.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 28979.

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Date of creation: 18 Feb 2011
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Handle: RePEc:pra:mprapa:28979
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  1. In Lee, 1999. "Non-cooperative Tacit Collusion, Complementary Bidding and Incumbency Premium," Review of Industrial Organization, Springer, vol. 15(2), pages 115-134, September.
  2. Vickrey, William S, 1969. "Congestion Theory and Transport Investment," American Economic Review, American Economic Association, vol. 59(2), pages 251-60, May.
  3. Terry E. Daniel & Eyran J. Gisches & Amnon Rapoport, 2009. "Departure Times in Y-Shaped Traffic Networks with Multiple Bottlenecks," American Economic Review, American Economic Association, vol. 99(5), pages 2149-76, December.
  4. Kaneko, Mamoru, 1982. "Some remarks on the folk theorem in game theory," Mathematical Social Sciences, Elsevier, vol. 3(3), pages 281-290, October.
  5. Hideo Konishi, 2001. "Uniqueness of User Equilibrium in Transportation Networks with Heterogeneous Commuters," Boston College Working Papers in Economics 494, Boston College Department of Economics, revised 14 Nov 2002.
  6. Arnott, Richard & de Palma, Andre & Lindsey, Robin, 1993. "A Structural Model of Peak-Period Congestion: A Traffic Bottleneck with Elastic Demand," American Economic Review, American Economic Association, vol. 83(1), pages 161-79, March.
  7. Ross, Stephen L. & Yinger, John, 2000. "Timing Equilibria in an Urban Model with Congestion," Journal of Urban Economics, Elsevier, vol. 47(3), pages 390-413, May.
  8. Masso, Jordi & Rosenthal, Robert W., 1989. "More on the "anti-folk theorem"," Journal of Mathematical Economics, Elsevier, vol. 18(3), pages 281-290, June.
  9. Masso, Jordi, 1993. "Undiscounted equilibrium payoffs of repeated games with a continuum of players," Journal of Mathematical Economics, Elsevier, vol. 22(3), pages 243-264.
  10. Sandholm, William H., 2001. "Potential Games with Continuous Player Sets," Journal of Economic Theory, Elsevier, vol. 97(1), pages 81-108, March.
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