Dynamic Competitive Newsvendors with Service-Sensitive Demands

When two firms compete for service-sensitive demands based on their product availability, their actions will affect the future market share reallocation. This problem was first studied by Hall and Porteus (2000) using a dynamic game model. We extend their work by incorporating a general demand model...

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Published inManufacturing & service operations management Vol. 9; no. 1; pp. 84 - 93
Main Authors Liu, Liming, Shang, Weixin, Wu, Shaohua
Format Journal Article
LanguageEnglish
Published Linthicum INFORMS 01.01.2007
Institute for Operations Research and the Management Sciences
SeriesManufacturing & Service Operations Management
Subjects
availability competition
Competition
Customer services
Demand
demand model
dynamic game
Equilibrium
feedback Nash equilibrium
Market shares
Mathematical models
order quantity structure
service-sensitive demand
stationary policy
Studies
Vendors
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Abstract When two firms compete for service-sensitive demands based on their product availability, their actions will affect the future market share reallocation. This problem was first studied by Hall and Porteus (2000) using a dynamic game model. We extend their work by incorporating a general demand model, which enables us to obtain properties that reveal the dynamics of the game and the behavior of the players. In particular, we provide conditions under which the market share of a firm has a positive value and give it an upper bound. We further extend the game competition model to an infinite-horizon setting. We prove that there exists a stationary equilibrium policy and that the dynamic equilibrium policy always converges to a stationary equilibrium policy. We demonstrate that demand patterns will dictate how firms compete rationally and show the likely outcomes of the competition.
AbstractList When two firms compete for service-sensitive demands based on their product availability, their actions will affect the future market share reallocation. This problem was first studied by Hall and Porteus (2000) using a dynamic game model. We extend their work by incorporating a general demand model, which enables us to obtain properties that reveal the dynamics of the game and the behavior of the players. In particular, we provide conditions under which the market share of a firm has a positive value and give it an upper bound. We further extend the game competition model to an infinite-horizon setting. We prove that there exists a stationary equilibrium policy and that the dynamic equilibrium policy always converges to a stationary equilibrium policy. We demonstrate that demand patterns will dictate how firms compete rationally and show the likely outcomes of the competition.
When two firms compete for service-sensitive demands based on their product availability, their actions will affect the future market share reallocation. This problem was first studied by Hall and Porteus (2000) using a dynamic game model. We extend their work by incorporating a general demand model, which enables us to obtain properties that reveal the dynamics of the game and the behavior of the players. In particular, we provide conditions under which the market share of a firm has a positive value and give it an upper bound. We further extend the game competition model to an infinite-horizon setting. We prove that there exists a stationary equilibrium policy and that the dynamic equilibrium policy always converges to a stationary equilibrium policy. We demonstrate that demand patterns will dictate how firms compete rationally and show the likely outcomes of the competition. [PUBLICATION ABSTRACT]
Author Wu, Shaohua
Shang, Weixin
Liu, Liming
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SubjectTerms availability competition
Competition
Customer services
Demand
demand model
dynamic game
Equilibrium
feedback Nash equilibrium
Market shares
Mathematical models
order quantity structure
service-sensitive demand
stationary policy
Studies
Vendors
Title Dynamic Competitive Newsvendors with Service-Sensitive Demands
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