Cooperative advertising and ordering policies in a two-echelon supply chain with risk-averse agents

This paper considers a cooperative advertising and ordering issue in a two-echelon supply chain in which a risk-averse manufacturer sells a product through a risk-averse retailer. We assume that demand for the product is a random variable influenced by the manufacturer's global advertising and the retailer's local advertising. To stimulate demand for the product, the risk-averse manufacturer induces the risk-averse retailer to increase local advertising expenditure through cooperative advertising contracts. With the objective of maximizing conditional value-at-risk, models for determining the retailer's optimal order quantity and both agents’ advertising investments are developed for both centralized and decentralized settings. We reveal the effect of demand uncertainty and two agents’ risk aversion on both agents’ optimal advertising/ordering policies. Through both theoretical and numerical analyses, we find that: 1) the centralized scenario may perform worse than the decentralized one in many cases if the decision-maker of the centralized supply chain is more risk averse than its two participants; 2) whether the risk-averse manufacturer is willing to share the retailer's local advertising expenditure depends significantly on the degree of two agents' risk aversion; and 3) in the decentralized setting, it will be more beneficial for both agents that the leader is more risk averse than the follower. These new findings are further supplements to the results in the existing related literature.

[1]  Jun-ya Gotoh,et al.  Newsvendor solutions via conditional value-at-risk minimization , 2007, Eur. J. Oper. Res..

[2]  Peng Sun,et al.  Risk Aversion in Inventory Management , 2007, Oper. Res..

[3]  Udo Buscher,et al.  Vertical cooperative advertising in a retailer duopoly , 2014, Comput. Ind. Eng..

[4]  Bintong Chen,et al.  Pricing and advertisement in a manufacturer-retailer supply chain , 2013, Eur. J. Oper. Res..

[5]  Houmin Yan,et al.  Channel bargaining with risk-averse retailer , 2012 .

[6]  Giorgio Szegö,et al.  Measures of risk , 2002, Eur. J. Oper. Res..

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

[8]  Jiang Zhang,et al.  Pricing and two-tier advertising with one manufacturer and one retailer , 2009, Eur. J. Oper. Res..

[9]  Paul D. Berger,et al.  Vertical Cooperative Advertising Ventures , 1972 .

[10]  Chung-Chi Hsieh,et al.  Manufacturer's return policy in a two-stage supply chain with two risk-averse retailers and random demand , 2010, Eur. J. Oper. Res..

[11]  L. Eeckhoudt,et al.  The Risk-Averse and Prudent Newsboy , 1995 .

[12]  U. Buscher,et al.  Cooperative Advertising Models in Supply Chain Management: A Review , 2014 .

[13]  Jinxing Xie,et al.  Coordinating advertising and pricing in a manufacturer-retailer channel , 2009, Eur. J. Oper. Res..

[14]  Yu-Chung Tsao,et al.  Effects of promotion cost sharing policy with the sales learning curve on supply chain coordination , 2012, Comput. Oper. Res..

[15]  Fikri Karaesmen,et al.  Multi-product newsvendor problem with value-at-risk considerations , 2009 .

[16]  Patrick Y. K. Chau,et al.  Cooperative advertising, game theory and manufacturer-retailer supply chains , 2002 .

[17]  Marcus Kunter,et al.  Coordination via cost and revenue sharing in manufacturer-retailer channels , 2012, Eur. J. Oper. Res..

[18]  G. Zaccour,et al.  Could co-op advertising be a manufacturer's counterstrategy to store brands? , 2006 .

[19]  Zhimin Huang,et al.  Supply chain coordination through cooperative advertising with reference price effect , 2013 .

[20]  Houmin Yan,et al.  Channel Coordination with a Risk‐Neutral Supplier and a Downside‐Risk‐Averse Retailer , 2005 .

[21]  Yong-Wu Zhou,et al.  Coordination of cooperative advertising models in a one-manufacturer two-retailer supply chain system , 2011, Comput. Ind. Eng..

[22]  Tsung-Hui Chen,et al.  Coordinating the ordering and advertising policies for a single-period commodity in a two-level supply chain , 2011, Comput. Ind. Eng..

[23]  Jian Huang,et al.  Recent developments in dynamic advertising research , 2012, Eur. J. Oper. Res..

[24]  Philippe Artzner,et al.  Coherent Measures of Risk , 1999 .

[25]  R. Rockafellar,et al.  Optimization of conditional value-at risk , 2000 .

[26]  Vipul Agrawal,et al.  Impact of Uncertainty and Risk Aversion on Price and Order Quantity in the Newsvendor Problem , 2000, Manuf. Serv. Oper. Manag..

[27]  Gérard P. Cachon,et al.  Decision Bias in the Newsvendor Problem with a Known Demand Distribution: Experimental Evidence.: Experimental Evidence. , 2000 .

[28]  Udo Buscher,et al.  Vertical cooperative advertising and pricing decisions in a manufacturer-retailer supply chain: A game-theoretic approach , 2012, Eur. J. Oper. Res..

[29]  Min-Chiang Wang,et al.  Coordination of cooperative advertising in a two-level supply chain when manufacturer offers discount , 2006, Eur. J. Oper. Res..

[30]  Youhua Chen,et al.  Customer and retailer rebates under risk aversion , 2011 .

[31]  Xiuli He,et al.  Cooperative Advertising and Pricing in a Dynamic Stochastic Supply Chain: Feedback Stackelberg Strategies , 2009 .

[32]  Vijay Mahajan,et al.  An Analysis of Manufacturer-Retailer Supply Chain Coordination in Cooperative Advertising , 2002, Decis. Sci..

[33]  Stanislav Uryasev,et al.  Conditional Value-at-Risk for General Loss Distributions , 2002 .

[34]  Amir Ahmadi-Javid,et al.  A Game-Theoretic Analysis for Coordinating Cooperative Advertising in a Supply Chain , 2011, J. Optim. Theory Appl..

[35]  Yu-Chung Tsao,et al.  Cooperative promotion under demand uncertainty , 2015 .

[36]  Matthew G. Nagler.  An exploratory analysis of the determinants of cooperative advertising participation rates , 2006 .

[37]  Zhiqing Meng,et al.  A tri-level programming model based on Conditional Value-at-Risk for three-stage supply chain management , 2013, Comput. Ind. Eng..

[38]  Zhe George Zhang,et al.  Technical Note - A Risk-Averse Newsvendor Model Under the CVaR Criterion , 2009, Oper. Res..

[39]  Jinxing Xie,et al.  Co-op advertising and pricing models in manufacturer-retailer supply chains , 2009, Comput. Ind. Eng..

[40]  Xiuli Chao,et al.  Salesforce contract design and inventory planning with asymmetric risk-averse sales agents , 2013, Oper. Res. Lett..

[41]  Georges Zaccour,et al.  A survey of game-theoretic models of cooperative advertising , 2014, Eur. J. Oper. Res..

[42]  Zhimin Huang,et al.  Co-op advertising models in manufacturer-retailer supply chains: A game theory approach , 2001, Eur. J. Oper. Res..

[43]  Amir Ahmadi-Javid,et al.  On a cooperative advertising model for a supply chain with one manufacturer and one retailer , 2012, Eur. J. Oper. Res..

[44]  Tsan-Ming Choi,et al.  Mean–Variance Analysis for the Newsvendor Problem , 2008, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[45]  Mohsen Gharakhani,et al.  A game theoretic approach to coordinate pricing and vertical co-op advertising in manufacturer-retailer supply chains , 2011, Eur. J. Oper. Res..

[46]  Jinxing Xie,et al.  A note on Cooperative advertising, game theory and manufacturer-retailer supply chains , 2006 .

[47]  A. H. L. Lau,et al.  Some properties of buyback and other related schemes in a newsvendor-product supply chain with price-sensitive demand , 2007, J. Oper. Res. Soc..

[48]  Jiabao Zhao,et al.  Coordination of a Supply Chain with Advertising Investment and Allowing the Second Ordering , 2010 .

[49]  Suresh P. Sethi,et al.  Cooperative Advertising in a Dynamic Retail Market Oligopoly , 2012, Dynamic Games and Applications.

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

[51]  D. Bertsimas,et al.  Shortfall as a risk measure: properties, optimization and applications , 2004 .

[52]  G. Zaccour,et al.  DYNAMIC COOPERATIVE ADVERTISING IN A CHANNEL , 2000 .