Mean-variance analysis of supply chains under wholesale pricing and profit sharing schemes

In this paper, we explore the use of a wholesale pricing and profit sharing scheme (WPPS) for coordinating supply chains under the mean-variance (MV) decision framework. We first analytically establish the necessary and sufficient conditions for coordinating the centralized supply chain by WPPS. We then show that there exists a unique equilibrium of the Stackelberg game with WPPS in the decentralized case. After that, we discuss the information asymmetric case in which the retailer can be benefited by pretending to be more risk averse. Finally, we propose a new measure for the manufacturer to prevent this cheating from happening. Insights are generated.

[1]  P. Picard,et al.  Self-organized agglomerations and transport costs , 2010 .

[2]  Jinxing Xie,et al.  A composite contract based on buy back and quantity flexibility contracts , 2011, Eur. J. Oper. Res..

[3]  J. Spengler.  Vertical Integration and Antitrust Policy , 1950, Journal of Political Economy.

[4]  Gérard P. Cachon.  Supply Chain Coordination with Contracts , 2003, Supply Chain Management.

[5]  Yuanjie He,et al.  Analysis of supply chains with quantity based fixed incentives , 2010, Eur. J. Oper. Res..

[6]  Elias Koutsoupias,et al.  Coordination mechanisms , 2009, Theor. Comput. Sci..

[7]  Tsan-Ming Choi,et al.  Mean-variance analysis of Quick Response Program ☆ , 2008 .

[8]  J. Tharakan,et al.  On the Impact of Labor Market Matching on Regional Disparities , 2009 .

[9]  Florence Goffette-Nagot,et al.  Does public housing occupancy increase unemployment , 2009 .

[10]  François Maniquet,et al.  Social orderings for the assignment of indivisible objects , 2008, J. Econ. Theory.

[11]  Hon-Shiang Lau,et al.  Production , Manufacturing and Logistics Designing a quantity discount scheme for a newsvendor-type product with numerous heterogeneous retailers , 2007 .

[12]  Abhijit Deshmukh,et al.  Analysis of supply contracts with quantity flexibility , 2009, Eur. J. Oper. Res..

[13]  S. Graves,et al.  Supply chain management : design, coordination and operation , 2003 .

[14]  Tsan-Ming Choi,et al.  Supply chain scheduling and coordination with dual delivery modes and inventory storage cost , 2011 .

[15]  Jacques-François Thisse,et al.  Aging Nations and the Future of Cities , 2009 .

[16]  Suresh P. Sethi,et al.  Coordination Mechanism for the Supply Chain with Leadtime Consideration and Price-Dependent Demand , 2009, Eur. J. Oper. Res..

[17]  Erik Schokkaert.  CRITICAL NOTICE: MACROJUSTICE AS A RESEARCH PROGRAMME , 2009, Economics and Philosophy.

[18]  Giacomo Valletta,et al.  A fair solution to the compensation problem , 2009, Soc. Choice Welf..

[19]  Isabelle Thomas,et al.  The spatial structure(s) of the Belgian housing stock , 2008 .

[20]  Andy A. Tsay,et al.  Risk sensitivity in distribution channel partnerships: implications for manufacturer return policies , 2002 .

[21]  Yushin Hong,et al.  Channel coordination through a revenue sharing contract in a two-period newsboy problem , 2009, Eur. J. Oper. Res..

[22]  Guillaume R. Fréchette,et al.  Incumbents' Interests and Gender Quotas , 2007 .

[23]  Erik Schokkaert,et al.  Direct versus indirect standardization in risk adjustment. , 2009, Journal of health economics.

[24]  Hon-Shiang Lau.  The Newsboy Problem under Alternative Optimization Objectives , 1980 .

[25]  Tsan-Ming Choi,et al.  Quick response in fashion supply chains with dual information updating , 2006 .

[26]  Evan L. Porteus,et al.  Selling to the Newsvendor: An Analysis of Price-Only Contracts , 2001, Manuf. Serv. Oper. Manag..

[27]  Marco Marinucci,et al.  Optimal ownership in joint ventures with contributions of asymmetric partners , 2008 .

[28]  Terry A. Taylor,et al.  Supply Chain Coordination Under Channel Rebates with Sales Effort Effects , 2002, Manag. Sci..

[29]  Philippe Chevalier,et al.  Optimizing the Staffing and Routing of Small‐Size Hierarchical Call Centers , 2008 .

[30]  Erik Schokkaert,et al.  Unfair inequalities in health and health care. , 2009, Journal of health economics.

[31]  P. Jean-Jacques Herings,et al.  The average tree solution for cycle-free graph games , 2008, Games Econ. Behav..

[32]  J. Dávila,et al.  Bargaining over Public Goods , 2009 .

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

[34]  P. Jean-Jacques Herings,et al.  A Fixed Point Theorem for Discontinuous Functions , 2004, Oper. Res. Lett..

[35]  Tsan-Ming Choi,et al.  Mean-variance analysis of a single supplier and retailer supply chain under a returns policy , 2008, Eur. J. Oper. Res..

[36]  A. Tversky,et al.  Prospect theory: analysis of decision under risk , 1979 .

[37]  Jean-Philippe Vial,et al.  A partitioning algorithm for the network loading problem , 2010, Eur. J. Oper. Res..

[38]  Çagatay Kayi,et al.  Characterizations of Pareto-efficient, fair, and strategy-proof allocation rules in queueing problems , 2010, Games Econ. Behav..

[39]  Pierre Semal,et al.  Histogram based bounds and approximations for production lines , 2009, Eur. J. Oper. Res..

[40]  Pierre Pestieau,et al.  Long-Term Care: The State, the Market and the Family , 2008 .

[41]  Pierre Pestieau,et al.  Optimal Redistribution with Unobservable Disability: Welfarist Versus Non-Welfarist Social Objectives , 2007 .

[42]  Laurence A. Wolsey,et al.  Single item lot-sizing with non-decreasing capacities , 2007, Math. Program..

[43]  Hon-Shiang Lau,et al.  Manufacturer's pricing strategy and return policy for a single-period commodity , 1999, Eur. J. Oper. Res..

[44]  Jishan Zhu,et al.  The newsvendor problem with an in-season price adjustment , 2009, Eur. J. Oper. Res..

[45]  Gregory Ponthiere,et al.  Optimal tax policy and expected longevity: a mean and variance utility approach , 2009 .

[46]  S. Seshadri,et al.  Risk intermediation in supply chains , 2000 .

[47]  Henry Tulkens.  Institutional design for the Brussels area and values for the Belgian community , 2009 .

[48]  Natali Hritonenko,et al.  Integral equation of optimal replacement: Analysis and algorithms , 2009 .

[49]  P. Picard,et al.  On Monopolistic Competition and Optimal Product Diversity: Workers' Rents Also Matter , 2009 .

[50]  Laurence A. Wolsey,et al.  Network Formulations of Mixed-Integer Programs , 2006, Math. Oper. Res..

[51]  François Maniquet,et al.  A trichotomy of attitudes for decision-making under complete ignorance , 2010, Math. Soc. Sci..

[52]  D. Peeters,et al.  Space–Time Patterns of Urban Sprawl, a 1D Cellular Automata and Microeconomic Approach , 2009 .

[53]  Elena Del Rey,et al.  Financing schemes for higher education , 2010 .

[54]  Claire Dujardin,et al.  Neighbourhood effects and endogeneity issues , 2009 .

[55]  Xavier Wauthy,et al.  Investment in public infrastructure with spillovers and tax competition between contiguous regions , 2009 .

[56]  P. Picard,et al.  Infrastructure and Public Utilities Privatization in Developing Countries , 2006 .

[57]  Fred Schroyen,et al.  The values of relative risk aversion and prudence: A context-free interpretation , 2009, Math. Soc. Sci..

[58]  Pierre Pestieau,et al.  Forced Saving, Redistribution and Nonlinear Social Security Schemes , 2008 .

[59]  R. Posner.  Vertical Restraints and Antitrust Policy , 2005 .

[60]  S. Laurent,et al.  Does Transparency in Central Bank Intervention Policy Bring Noise to the FX Market? The Case of the Bank of Japan , 2007 .

[61]  P. Picard,et al.  Government Outsourcing: Public Contracting with Private Monopoly , 2006, SSRN Electronic Journal.

[62]  Pierre M. Picard,et al.  BIDDING FOR HORIZONTAL MULTINATIONALS , 2008 .

[63]  Natali Hritonenko,et al.  From Linear to Nonlinear Utility in Vintage Capital Models , 2008 .

[64]  I. Thomas,et al.  Regional analysis of road mortality in Europe. , 2008, Public health.

[65]  Scott Webster,et al.  Channel Coordination for a Supply Chain with a Risk-Neutral Manufacturer and a Loss-Averse Retailer , 2007, Decis. Sci..

[66]  David Encaoua,et al.  Licensing ‘Weak’ Patents , 2009 .

[67]  Houmin Yan,et al.  Coordination of Supply Chains with Risk-Averse Agents , 2009 .

[68]  Yves Sprumont,et al.  Sharing the cost of a public good: An incentive-constrained axiomatic approach , 2010, Games Econ. Behav..

[69]  A. Tversky,et al.  Prospect Theory : An Analysis of Decision under Risk Author ( s ) : , 2007 .

[70]  Ravi Anupindi,et al.  Supply Contracts with Quantity Commitments and Stochastic Demand , 1999 .

[71]  Michael J. Magazine,et al.  Quantitative Models for Supply Chain Management , 1998 .

[72]  P. Herings,et al.  Harmonization of Private Law on a Global Level , 2008 .