Optimal pricing in a dynamic duopoly game model

1985 ◽  
Vol 29 (2) ◽  
pp. B1-B16 ◽  
Author(s):  
E. Dockner

2009 ◽  
Vol 19 (06) ◽  
pp. 507-520 ◽  
Author(s):  
JEAN CARDINAL ◽  
MARTINE LABBÉ ◽  
STEFAN LANGERMAN ◽  
BELÉN PALOP

We propose algorithms for pricing a transportation network in such a way that the profit generated by the customers is maximized. We model the transportation network as a subset of the plane and take into account the fact that the customers minimize their own transportation cost. The underlying theory is a two-player game model called Stackelberg games. We propose algorithms for the cases where the fare does and does not depend on the distance traveled, in the L1 or L2 metrics. In particular, we propose an O(n log n) algorithm for optimal pricing of a highway under the L2 metric, and an O(nk log n log 3 k) algorithm for orthogonally convex networks of complexity O(k) under the L1 metric.



Entropy ◽  
2018 ◽  
Vol 20 (11) ◽  
pp. 858 ◽  
Author(s):  
Yimin Huang ◽  
Xingli Chen ◽  
Qiuxiang Li ◽  
Xiaogang Ma

The internet has provided a new means for manufacturers to reach consumers. On the background of the widespread multichannel sales in China, based on a literature review of the service game and multichannel supply chain, this paper builds a multichannel dynamic service game model where the retailer operates an offline channel and the manufacturer operates an online channel and offers customers the option to buy online and pick up from the retailer’s store (BOPS). The manufacturer and the retailer take maximizing the channel profits as their business objectives and make channel service game under optimal pricing. We carry on theoretical analysis of the model and perform numerical simulations from the perspective of entropy theory, game theory, and chaotic dynamics. The results show that the stability of the system will weaken with the increase in service elasticity coefficient and that it is unaffected by the feedback parameter adjustment of the retailer. The BOPS channel strengthens the cooperation between the manufacturer and the retailer and moderates the conflict between the online and the offline channels. The system will go into chaotic state and cause the system’s entropy to increase when the manufacturer adjusts his/her service decision quickly. In a chaotic state, the system is sensitive to initial conditions and service input is difficult to predict; the manufacturer and retailer need more additional information to make the system clear or use the method of feedback control to delay or eliminate the occurrence of chaos.



Omega ◽  
2021 ◽  
pp. 102413
Author(s):  
Yanan Li ◽  
Xiang Li ◽  
Sicheng Zhang


1996 ◽  
Vol 42 (11) ◽  
pp. 1501-1514 ◽  
Author(s):  
Pradeep K. Chintagunta ◽  
Vithala R. Rao


2022 ◽  
Vol 2022 ◽  
pp. 1-9
Author(s):  
Wenxing Chen ◽  
Bin Yang

Energy efficiency optimization of mobile edge computing e-commerce clients and reasonable management of server computing resources are worth further study. The participant of the algorithm game model proposed in this paper is mobile e-commerce customer management. The decision space is a two-dimensional space composed of unloading decision and power control, and the benefit function is the energy efficiency function and delay function. The existence and uniqueness of the multidimensional game model are proved theoretically. The simulation results show that the proposed multidimensional game based energy efficiency optimization algorithm of mobile edge computing can reduce the energy consumption and delay of mobile terminals and improve the energy efficiency of unloading calculation under the same task compared with the game scheme without considering power consumption control when the number of e-commerce customer management is larger. This paper deduces the optimal load migration decision of mobile e-commerce customer management and the optimal pricing strategy of mobile edge cloud service providers and proves that the optimal decision and optimal pricing constitute the Starkberg equilibrium. The semidistributed and decentralized task transfer decision-making mechanisms are designed, respectively, and the management decision-making behaviors of mobile e-commerce customers in the mobile edge cloud energy trading market are studied by numerical analysis, as well as the time efficiency of the two mechanisms.



CICTP 2017 ◽  
2018 ◽  
Author(s):  
Hua-Wei Gong ◽  
Wen-Zhou Jin ◽  
Xiao-Dong Zang ◽  
Qiang Luo


2012 ◽  
Vol 2 (2) ◽  
pp. 134-136
Author(s):  
Ch. Divya Ch. Divya ◽  
◽  
Dr. P. Govardhan Dr. P. Govardhan




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