Commuting for meetings

Fosgerau, Mogens and Engelson, Leonid and Franklin, Joel (2014): Commuting for meetings. Forthcoming in: Journal of urban economics

Abstract

Urban congestion causes travel times to exhibit considerable variability, which leads to coordination problems when people have to meet. We analyze a game for the timing of a meeting between two players who must each complete a trip of random duration to reach the meeting, which does not begin until both are present. Players prefer to depart later and also to arrive sooner, provided they do not have to wait for the other player. We find a unique Nash equilibrium, and a continuum of Pareto optima that are strictly better than the Nash equilibrium for both players. Pareto optima may be implemented as Nash equilibria by penalty or compensation schemes.

• Item Type: MPRA Paper
• Language: English
• Keywords: congestion; random travel time variability; coordination game
• Subjects: C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory; D - Microeconomics > D1 - Household Behavior and Family Economics; R - Urban, Rural, Regional, Real Estate, and Transportation Economics > R4 - Transportation Economics

References

Basu, K. and Weibull, J. W. (2003) Punctuality - A Cultural Trait as an Equilibrium, in R. Arnott, B. Greenwald, R. Kanbur and B. Nalebuff (eds), Economics for an Imperfect World: Essays in Honor of Joseph Stiglitz MIT Press Cambridge, MA pp. 163–182.

Bates, J., Polak, J., Jones, P. and Cook, A. (2001) The valuation of reliability for personal travel Transportation Research Part E 37(2-3), 191–229.

de Palma, A. and Fosgerau, M. (2011) Dynamic Traffic Modeling in A. de Palma, R. Lindsey, E. Quinet and R. Vickerman (eds), A Handbook of Transport Economics Edward Elgar.

Ehrgott, M. (2005) Multicriteria optimization Springer Berlin Heidelberg.

Engelson, L. and Fosgerau, M. (2011) Additive measures of travel time variability Transportation Research Part B: Methodological 45(10), 1560–1571.

Fosgerau, M. and Engelson, L. (2011) The value of travel time variance Transportation Research Part B: Methodological 45(1), 1–8.

Fosgerau, M. and Fukuda, D. (2012) Valuing travel time variability: Characteristics of the travel time distribution on an urban road Transportation Research Part C: Emerging Technologies 24(0), 83–101.

Fosgerau, M. and Karlstrom, A. (2010) The value of reliability Transportation Research Part B 44(1), 38–49.

Noland, R. B. and Small, K. A. (1995) Travel-Time Uncertainty, Departure Time Choice, and the Cost of Morning Commutes Transportation Research Record 1493, 150–158.

Ostrovsky, M. and Schwarz, M. (2006) Synchronization under Uncertainty International Journal of Economic Theory 2(1), 1–16.

Schrank, D. and Lomax, T. (2009) The 2009 Urban Mobility Report Texas Transportation Institute, Texas A&M University.

Small, K. (1982) The scheduling of Consumer Activities: Work Trips American Economic Review 72(3), 467–479.

Vickrey, W. (1969) Congestion theory and transport investment American Economic Review 59(2), 251–260.

Vickrey, W. (1973) Pricing, metering, and efficiently using urban transportation facilities Highway Research Record 476, 36–48.