广告分担、价格折扣与供应链的纵向合作广告

研究了生产商和零售商的纵向合作广告问题。分别在广告分担和价格折扣策略下，探讨了双方的均衡结果和利润。当生产商的边际利润较小时，生产商的最优决策是不采取任何一种策略。当生产商的边际利润达到一定范围时，广告分担策略是双方共同的最优选择。而无论在什么样的条件内，价格折扣策略都不会使双方同时满意。为了增加双方的收益，供应链成员应该在广告上集成决策。最后给出了系统集成的可行最优解的范围和Nash讨价还价解。     

Pricing and advertisement in a manufacturer–retailer supply chain

We use a game theoretical approach to study pricing and advertisement decisions in a manufacturer–retailer supply chain when price discounts are offered by both the manufacturer and retailer. When the manufacturer is the leader of the game, we obtained Stackelberg equilibrium with manufacturer’s local allowance, national brand name investment, manufacturer’s preferred price discount, retailer’s price discount, and local advertising expense. For the special case of two-stage equilibrium when the manufacturer’s price discount is exogenous, we found that the retailer is willing to increase local advertising expense if the manufacturer increases local advertising allowance and provides deeper price discount, or if the manufacturer decreases its brand name investment. When both the manufacturer and retailer have power, Nash equilibrium in a competition game is obtained. The comparison between the Nash equilibrium and Stackelberg equilibrium shows that the manufacturer always prefers Stackelberg equilibrium, but there is no definitive conclusion for the retailer. The bargaining power can be used to determine the profit sharing between the manufacturer and the retailer. Once the profit sharing is determined, we suggest a simple contract to help the manufacturer and retailer obtain their desired profit sharing.     

A game theoretic approach to coordinate pricing and vertical co-op advertising in manufacturer-retailer supply chains

Vertical cooperative (co-op) advertising is a marketing strategy in which the retailer runs local advertising and the manufacturer pays for a portion of its entire costs. This paper considers vertical co-op advertising along with pricing decisions in a supply chain; this consists of one manufacturer and one retailer where demand is influenced by both price and advertisement. Four game-theoretic models are established in order to study the effect of supply chain power balance on the optimal decisions of supply chain members. Comparisons and insights are developed. These embrace three non-cooperative games including Nash, Stackelberg-manufacturer and Stackelberg-retailer, and one cooperative game. In the latter case, both the manufacturer and the retailer reach the highest profit level; subsequently, the feasibility of bargaining game is discussed in a bid to determine a scheme to share the extra joint profit.     

Co-op advertising models in manufacturer–retailer supply chains: A game theory approach

In the literature of cooperative (co-op) advertising, the focus of research is on a relationship in which a manufacturer is the leader and retailers are followers. This relationship implies the dominance of the manufacturer over retailers. Recent market structure reviews have shown a shift of retailing power from manufacturers to retailers. Retailers have equal or even greater power than a manufacturer when it comes to retailing. Based on this new market phenomenon, we intend to explore the role of vertical co-op advertising efficiency with respect to transactions between a manufacturer and a retailer through brand name investments, local advertising expenditures, and sharing rules of advertising expenses. Three co-op advertising models are discussed which are based on two noncooperative games and one cooperative game. In a leader–follower noncooperative game, the manufacturer is assumed to be a leader who first specifies the brand name investment and the co-op subsidization policy. The retailer, as a follower, then decides on the local advertising level. In a noncooperative simultaneous move game, the manufacturer and the retailer are assumed to act simultaneously and independently. In a cooperative game, the system profit is maximized for every Pareto efficient co-op advertising scheme, but not for any other schemes. All Pareto efficient co-op advertising schemes are associated with a single local advertising level and a single brand name investment level, but with variable sharing policies of advertising expenses. The best Pareto efficient advertising scheme is obtained taking members' risk attitudes into account. Utilizing the Nash bargaining model, we discuss two situations that (a) both members are risk averse, and (b) both members are risk neutral. Our results are consistent with the bargaining literature.     

风险中性零售商的合作广告策略与订货模型

考虑了由一个制造商与一个零售商构成的单期二阶段供应链是否进行合作广告的博弈问题.面对市场需求的不确定性,零售商从制造商处订购报童类型产品销售给消费者,零售商具有风险中性的行为特征.通过不合作广告与合作广告两种情形,制造商与零售商进Stackelberg主从博弈,得到了均衡解,比较后发现,合作广告下的最优解及利润总是优于不合作广告下的最优解和利润,告诉了上下游企业采用合作广告的广告策略.最后,通过数值算例,给出了需求敏感系数对最优决策的影响,同时也论证了有关结论.     

Channel Coordination with Cooperative Advertising Considering Effect of Advertising on Willingness to Pay

In this paper, cooperative advertising in a manufacturer–retailer supply chain is studied. Advertising can enhance willingness to pay (WTP) of customers. This trade-off between the benefits of increasing WTP of customers and the advertising expenditure is a key to understanding the retailers optimal advertising decision. On the other hand, it is interesting to understand in which condition supporting the retailer for his advertising expenditure is beneficial for the manufacturer. In this study, in order to capture pricing and advertising strategies of the channel member, three non-cooperative games including Nash, Stackelberg retailer and Stackelberg manufacturer game-theoretic models are established. In spite of the related studies which restrict price in order to prevent negative demand, the proposed model allows channel members to increase their prices by enhancing WTP of customers. In this study, contrary to similar additive form demand functions applied in the co-op ad literature which limits their studies for cases that profit function is concave with respect to variables, optimal prices and advertising strategies are obtained for all the solution space. Surprisingly for the very high values of the advertising effect coefficient, a finite optimal advertising expenditure is achieved.     

A Game-Theoretic Analysis for Coordinating Cooperative Advertising in a Supply Chain

In this paper, we investigate the coordination of cooperative advertising decisions in a supply chain with one manufacturer and one retailer. The manufacturer and the retailer invest in national and local advertising, respectively. The manufacturer also agrees to share part of the total local-advertising costs with the retailer. The model is analyzed using game theory. We also compare the results of our analysis with similar results from the literature developed for cooperative advertising.     

Pricing and two-tier advertising with one manufacturer and one retailer

This paper considers the pricing decisions and two-tier advertising levels between one manufacturer and one retailer where customer demand depends on the retail price and advertisement by a manufacturer and a retailer. We solve a Stackelberg game with the manufacturer as the leader and the retailer as the follower. With price sensitive customer demand and a linear wholesale contract, we obtain the optimal decisions by the manufacturer and the optimal responses by the retailer. Our results show that cost sharing of local advertising does not work well, it is better for the manufacturer to advertise nationally and offer the retailer a lower wholesale price.     

Supply chain coordination through integration of innovation effort and advertising support

This study integrates firms’ innovation and advertising decisions in a two-echelon supply chain, where a monopoly manufacturer sells products to ultimate consumers through an autonomous retailer. Considering that both innovation and advertising contribute to the product demand, we first investigate the optimal equilibriums of channel members under two different game structures: the non-cooperative and cooperative. In the non-cooperative structure, the manufacturer controls the innovation effort and wholesale price while the retailer controls the advertising rate and retail pricing. In the cooperative structure, the manufacturer agrees to share part of retailer’s advertising expenditure. We find that both the optimal operation and marketing decisions are sensitive to effects of innovation and advertising on demand as well as the manufacturer’s cost reduction coefficient due to innovation. Further, we find that the manufacturer always prefers cooperation. Meanwhile, only when the firms’ investments significantly contribute to the market mechanism, does the retailer have incentive to implement a cooperative program. In addition, we further propose a new two-way subsidy policy to coordinate channel members’ business functions.     

考虑延迟现象的质量改进投入和营销努力动态协同策略

利用时滞微分方程刻画质量改进投入对品牌商誉提升的延迟现象,分别构建了制造商和零售商采取非合作博弈、合作博弈以及成本分担的部分合作博弈(制造商参与营销的单向部分合作博弈、零售商参与生产的单向部分合作博弈、制造商参与营销及零售商参与生产的双向部分合作博弈)五种决策模式下的微分博弈模型。借助哈密尔顿极大值原理,求解得到五种情形下的制造商最优质量改进投入策略和零售商的最优营销努力策略以及供应链利润。对比五种博弈模式下的结果发现:1)延时现象会降低制造商进行质量改进投入的积极性,但对零售商营销努力无影响;品牌商誉在延迟现象影响下出现先衰减后提升的演进规律;2)合作博弈对于供应链绩效总是最优的,三种成本分担的部分合作博弈契约虽不能实现供应链的完全协调,但可以对非合作博弈情形进行帕累托改进;3)对比两种单向部分合作博弈,在提高供应链利润方面,制造商参与营销的成本分担契约优于零售商参与生产的成本分担契约;4)三种成本分担契约中,双向合作的部分合作博弈是供应链的最优选择,但随着延迟时间增大,其帕累托改进效果将不再明显。     

考虑互惠偏好的闭环供应链系统合作机制研究

将互惠偏好引入到闭环供应链系统合作机制中,研究了由一个制造商,一个零售商和一个再制造商组成的三层闭环供应链,运用Stackelberg博弈理论分析了闭环供应链整体及各成员的最优决策问题,并对5种情形(决策模式)下的均衡结果进行比较分析.研究发现在考虑互惠偏好行为下,分散决策模式和局部联盟决策模式下的系统利润低于集中决策模式下的收益;新产品和再制造产品的销售量(零售价格)与制造商对零售商的互惠偏好系数呈正(负)相关,与零售商对制造商的互惠偏好系数呈负(正)相关;5种决策模式的供应链系统利润与制造商对零售商的互惠偏好系数呈正相关,与零售商对制造商的互惠偏好系数呈负相关.     

A dynamic model for advertising and pricing competition between national and store brands

We study the relationship between the pricing and advertising decisions in a channel where a national brand is competing with a private label. We consider a differential game that incorporates the carryover effects of brand advertising over time for both the manufacturer and the retailer and we account for the complementary and competitive roles of advertising. Analysis of the obtained equilibrium Markov strategies shows that the relationship between advertising and pricing decisions in the channel depends mainly on the nature of the advertising effects. In particular, the manufacturer reacts to higher competitive retailer’s advertising levels by offering price concessions and limiting his advertising expenditures. The retailer’s optimal reaction to competitive advertising effects in the channel depends on two factors: (1) the price competition level between the store and the national brands and (2) the strength of the competitive advertising effects. For example, in case of intense price competition between the two brands combined with a strong manufacturer’s competitive advertising effect, the retailer should lower both the store and the national brands’ prices as a reaction to higher manufacturer’s advertising levels. For the retailer, the main advantage from boosting his competitive advertising investments seems to be driven by increased revenues from the private label. The retailer should however limit his investments in advertising if the latter generates considerable competitive effects on the national brand’s sales.     

制造商与渠道势力不对称零售商的合作广告模型研究

研究制造商与渠道势力不对称零售商的合作广告问题.在需求不确定的情况下,建立了制造商和零售商的分散式与集中式系统下的合作广告模型,得到了不同系统下制造商和强势零售商的最优合作广告策略、强势零售商和边缘零售商的最优订货策略,及他们的最优期望利润.通过对不同系统下均衡结果的比较分析,证明了分散式系统存在不协调.设计了实现渠道协调的联合契约,指出分散式协调系统下的联合契约不唯一,契约参数两两正相关,广告补贴率、产品批发价格和回购价格是制造商和强势零售商力量平衡的焦点.     

碳交易规制下信息不对称供应链的减排和低碳推广博弈研究

论文在碳交易规制下,研究单一制造商和双零售商组成的供应链减排与低碳推广决策以及零售商对制造商的成本信息分享问题,分析了零售商对制造商分享成本信息的条件,及不同情形下的制造商减排和零售商低碳推广策略。研究发现:零售商的最优低碳推广水平只与自身相关参数有关,零售商只有在自身低碳推广效率足够高时才会与制造商分享信息;制造商最优减排量随消费者低碳意识、碳交易价格、零售商低碳推广效率及其不确定性增大而提高,随零售商之间竞争程度提高而降低;无论零售商是否对制造商分享成本信息,供应链成员的最优利润随零售商之间竞争程度提高而增加,随消费者低碳意识、碳交易价格提高而提高;零售商低碳推广效率的不确定性越大则制造商的最优利润越低,零售商的最优利润越高;仅一家零售商分享成本信息时,制造商无法通过转移支付使另一家零售商与其分享信息。     

Coordinating order quantity decisions in the supply chain contract under random demand

In this paper, we are concerned with the coordinating quantity decision problem in a supply chain contract. The supply chain contract is composed of one manufacturer and one retailer to meet the random demand of a single product with a short lifecycle. Our analysis show that the retailer expects to obtain higher profit under proper ordering policies, which can also maximize the expected profit of the supply chain. The manufacturer may induce the retailer to order the coordinated quantity by adjusting the unit return price. As a result, the supply chain is expected to achieve the optimal expected profit.     

具有价格粘性的供应链动态模型及其协调策略

本文针对由一个制造商和一个零售商构成的供应链系统,在市场价格具有粘性的情况下,利用动态博弈理论分析了制造商和零售商如何确定其最优的批发价格和产品订购量以实现自身长期利润的最大化。本文首先利用汉密尔顿-雅可比-贝尔曼方程分别求解了供应链系统在Stackelberg博弈下的最优批发价格和最优产品订购数量。然后,利用数值算例说明了该供应链系统协调的必要性。最后,利用数量折扣契约协调了该供应链系统,并证明了协调的有效性。     

具有公平偏好成员的两阶段供应链分析

本论文分析具有公平偏好零售商与制造商组成的供应链,在制造商作为Stackelberg博弈的领导者提供批发价格合同给零售商时,零售商如何确定最优的订货量而制造商如何确定最优的批发价格.当需求满足均匀分布时,研究发现存在均衡的最优订货量以及最优批发价格.本论文也分析了需求分布参数对均衡最优解的影响.最后,通过数值计算对供应链的绩效如何随公平偏好参数变化的问题进行了研究.并且说明公平偏好是零售商获取其对供应链利润分配的一种手段.     

具有产品回收的闭环供应链差别定价策略研究

研究一个制造商与一个销售商组成的具有产品回收的闭环供应链差别定价问题.利用博弈理论对几种差别定价模型进行了分析,得到了闭环供应链成员的最优定价策略和最终利润.进一步对几种模型的效率进行了分析,发现分散式决策使得整个闭环供应链利润损失了25%,最后提出一种收益共享协调差别定价策略,使得分散式闭环供应链的效率与集成式闭环供应链效率等同.     

零售商价格领导权结构下考虑专利保护的闭环供应链定价策略

很多零售商常处于其所在供应链的主导地位,针对零售商具有价格领导权并且考虑专利保护的闭环供应链进行分析,运用博弈理论得到了零售商、原制造商和再制造商的最优策略,以及最优策略关于再制造成本节约的变化规律。研究表明:随着再制造成本节约的增加,最优单位专利许可费和废旧产品回收价格逐步增加,最优产品批发价格和销售价格逐步降低,并通过数值算例表明:零售商、再制造商和供应链系统的利润逐步增加,原制造商的利润逐步减少。     

考虑制造成本扰动的闭环供应链回收与协调策略

针对两周期闭环供应链,在考虑突发事件干扰新产品制造成本的情况下,在集中式和分散式决策时闭环供应链在扰乱前后关于回收决策和协调机制问题的比较,得到了扰动前后的最优回收价格、回收数量以及制造商的最大再制造节约利润和零售商的最优回收利润。研究表明:当制造成本扰动幅度较小时,集中化决策者和分散化决策者均保持原回收计划,适当调整回收价格;当制造成本扰动幅度较大时,集中化决策者和制造商愿意调整其回收决策,而零售商在正扰动幅度较大时希望保持原回收计划,在负扰动幅度较大时倾向于调整回收决策。两部收费制契约可以协调制造成本扰乱之前和之后的闭环供应链。制造商获得的固定费用在制造成本扰动幅度较小时随扰动量绝对值的增加而增加;在扰动量幅度较大时随正扰动量的增加而减少,负扰动量绝对值的增加而增加。