A Note on Air‐Cargo Capacity Contracts

Carriers (airlines) use medium-term contracts to allot bulk cargo capacity to forwarders who deliver consolidated loads for each flight in the contractual period (season). Carriers also sell capacity to direct-ship customers on each flight. We study capacity contracts between a carrier and a forwarder when certain parameters such as the forwarder's demand, operating cost to the carrier, margin, and reservation profit are its private information. We propose contracts in which the forwarder pays a lump sum in exchange for a guaranteed capacity allotment and receives a refund for each unit of unused capacity according to a pre-announced refund rate. We obtain an upper bound on the informational rent paid by the carrier for a menu of arbitrary allotments and identify conditions under which it can eliminate the informational rent and induce the forwarder to choose the overall optimal capacity allotment (i.e., one that maximizes the combined profits of the carrier and the forwarder).

[1]  Raja G. Kasilingam,et al.  Air cargo revenue management: Characteristics and complexities , 1997 .

[2]  Luciano Messori.  The Theory of Incentives I: The Principal-Agent Model , 2013 .

[3]  Huseyin Topaloglu,et al.  Cargo Capacity Management with Allotments and Spot Market Demand , 2012, Oper. Res..

[4]  Özalp Özer,et al.  Strategic Commitments for an Optimal Capacity Decision Under Asymmetric Forecast Information , 2006, Manag. Sci..

[5]  Rolf Hellermann,et al.  Capacity Options for Revenue Management: Theory and Applications in the Air Cargo Industry , 2006 .

[6]  Albert Y. Ha.  Supplier‐buyer contracting: Asymmetric cost information and cutoff level policy for buyer participation , 2001 .

[7]  William S. Lovejoy.  Optimal Mechanisms with Finite Agent Types , 2006, Manag. Sci..

[8]  S. Gilbert,et al.  Note. the Role of Returns Policies in Pricing and Inventory Decisions for Catalogue Goods , 1998 .

[9]  Moshe Shaked,et al.  Stochastic orders and their applications , 1994 .

[10]  Ellis L. Johnson,et al.  Estimating Air-Cargo Overbooking Based on a Discrete Show-Up-Rate Distribution , 2006, Interfaces.

[11]  Barry Alan Pasternack,et al.  Optimal Pricing and Return Policies for Perishable Commodities , 2008, Mark. Sci..

[12]  David E. M. Sappington,et al.  Optimal contracts with public ex post information , 1988 .

[13]  Christopher S. Tang,et al.  Designing Supply Contracts: Contract Type and Information Asymmetry , 2004, Manag. Sci..

[14]  D. Gupta.  Flexible carrier–forwarder contracts for air cargo business , 2008 .

[15]  Jeffrey I. McGill,et al.  Allocation of Airline Seats between Stochastically Dependent Demands , 1990, Transp. Sci..

[16]  Jan A. Van Mieghem,et al.  Commissioned Paper: Capacity Management, Investment, and Hedging: Review and Recent Developments , 2003, Manuf. Serv. Oper. Manag..

[17]  Stephen M. Gilbert,et al.  Quantity Discounts in Single Period Supply Contracts with Asymmetric Demand Information , 2005 .

[18]  Diwakar Gupta,et al.  Single-Leg Air-Cargo Revenue Management , 2007, Transp. Sci..

[19]  Bernard Salanié,et al.  The Economics of Contracts: A Primer , 1997 .

[20]  Karen E Thuermer.  Air cargo pricing : no simple matter , 2005 .

[21]  Claudio Mezzetti,et al.  Bayesian and Weakly Robust First Best Mechanisms: Characterizations , 1994 .

[22]  Richard P. McLean,et al.  Optimal Selling Strategies under Uncertainty for a Discriminating Monopolist When Demands Are Interdependent , 1985 .

[23]  S. D. Wu,et al.  Incentive Schemes for Semiconductor Capacity Allocation: A Game Theoretic Analysis , 2005 .

[24]  Jan A. Van Mieghem.  Capacity Management, Investment, and Hedging: Review and Recent Developments , 2003 .