Title
Stackelberg equilibria in a continuous-time vertical contracting model with uncertain demand and delayed information
Abstract
We consider explicit formulae for equilibrium prices in a continuous-time vertical contracting model. A manufacturer sells goods to a retailer, and the objective of both parties is to maximize expected profits. Demand is an Ito-Levy process, and to increase realism, information is delayed. We provide complete existence and uniqueness proofs for a series of special cases, including geometric Brownian motion and the Ornstein-Uhlenbeck process, both with time-variable coefficients. Moreover, explicit solution formulae are given, so these results are operational. An interesting finding is that information that is more precise may be a considerable disadvantage for the retailer.
Year
DOI
Venue
2014
10.1017/S002190020002129X
JOURNAL OF APPLIED PROBABILITY
Keywords
Field
DocType
Vertical contracting,stochastic differential game,delayed information,Ito-Levy process
Uniqueness,Mathematical economics,Mathematical proof,Stackelberg competition,Geometric Brownian motion,Mathematics,Profit (economics)
Journal
Volume
Issue
ISSN
51
A
0021-9002
Citations 
PageRank 
References 
1
0.38
5
Authors
3
Name
Order
Citations
PageRank
Bernt Oksendal18915.84
Leif Sandal2294.69
Jan Ubøe3273.54