Volume 2 Issue 3 pp. 467-478 Summer, 2011


Pricing for freight carriers in a competitive environment: A game theory approach


Marzieh Mozafari and Behrooz Karimi


In recent years, development of freight transport industry has led to fierce competition among transportation companies and therefore carrier-pricing issue has received more attention by researchers. This paper studies pricing and fleet management decisions for full-truckload freight carriers' competition on a road network. We propose a game theoretic approach under two scenarios. In the first, we model the non-cooperative game wherein the carriers announce their prices simultaneously in competition; in the second, we allow the carriers to share their information and announce their prices while participating in cooperation. We show that carriers can reach the highest profit level in the latter scenario; subsequently, a bargaining game is discussed as a scheme to share the extra joint profit.


DOI: 10.5267/j.ijiec.2011.04.004

Keywords: Freight transportation, Carrier pricing, Fleet management, Competition, Cooperation, Game theory
References

Agarwal, R., & Ergun, O. (2010). Network design and allocation mechanisms for carrier alliances in liner shipping. Operations Research, 58(6), 1726-1742.

ATA (2005). Trucking activity report, Technical report, American Trucking Association, Arlington, VA. http://www.trucking.org.

Bazaraa, M.S., Sherali, H.D., & Shetty, C.M. (1993). Nonlinear Programming: Theory and Algorithms. 2nd ed, John Wiley & Sons, Inc.

Elmaghraby, W., & Keskinocak, P. (2003). Combinatorial Auctions in Procurement. In: The Practice of Supply Chain Management, eds. Billington C., Harrison T., Lee H., Neale J., Kluwer.

Ergun, O., Kuyzu, G., & Savelsbergh, M. (2007). Shipper collaboration. Computers & Operations Research, 1551-1560.

Facchinei, F., & Kanzow, C. (2007). Generalized Nash equilibrium problems. 4OR, 5, 173–210.

Facchinei, F., Piccialli, V., & Sciandrone, M. (2007). On a class of generalized Nash equilibrium problems. DIS Technical Report, “Sapienza” Università di Roma, Rome.

Ferris, M. C., & Munson, T. S. (2000). Complementarity problems in gams and the path solver. Journal of Economic Dynamics and Control, 24, 165-188.

Figliozzi, M. A., Mahmassani, H. S., & Jaillet P. (2007). Pricing in Dynamic Vehicle Routing problems. Transportation Science, 41(3), 302-318.

King, G. J., & Topaloglu, H. (2007). Incorporating the pricing decisions into the dynamic fleet management problem. Journal of Operation Research Society, 58, 1065-1074.

Harker, P.T. (1985). The state of the art in the predictive analysis of freight transport systems. Transport Reviews, 5(2), 143-164.

Harker, P.H., & Pang, J.S. (1990). Finite dimensional variational inequality and nonlinear complementarity problems: a survey of theory, algorithms and applications. Mathematical Programming, 48, 161-220.

Houghtalen, L., Ergun, O., & Sokol, J., (2007). Designing mechanisms for the management of carrier alliances. Wiley Encyclopedia of Operations Research and Management Science.

Linderoth, J.T., & Savelsbergh, M.W.P. (1999). Computational study of search strategies for mixed integer programming. INFORMS Journal on Computing, 11(2), 173-187.

Ozener, O.O. (2008). Collaboration in transportation, PhD thesis, H. Milton Stewart School of Industrial and Systems Engineering, Georgia Institute of Technology.

Ozener, O.O., & Ergun O. (2008). Alocating costs in a collaborative transportation procurement network. Transportation Science, 42(2), 146-165.

Ozener, O.O., Ergun, O., & Savelsbergh, M. (2010). Lane-exchange mechanisms for truckload carrier collaboration. Transportation Science, 2010.

Tawarmalani, M., & Sahinidis, N.V., (2004). Global optimization of mixed integer nonlinear programs: A theoretical and computational study. Mathematical Programming, 99, 563-591.

Topaloglu, H., & Powell, W. (2007). Incorporating pricing decisions into stochastic dynamic fleet management problem. Transportation Science, 41(3), 281-301.

Nash, J. F. Jr. (1950). The bargaining problem. Econometrica, 18(2), 155-162.