scholarly journals Pricing and Allotment in a Sea-Cargo Supply Chain with Reference Effect: A Dynamic Game Approach

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Lei Xu ◽  
Govindan Kannan ◽  
Xiaoli Yang ◽  
Jian Li ◽  
Xiukun Zhao
Keyword(s):  
Supply Chain ◽  
Wholesale Price ◽  
Closed Form Solution ◽  
Dynamic Game ◽  
Spot Market ◽  
Form Solution ◽  
Purchasing Decisions ◽  
Purchasing Decision ◽  
Pricing Decisions

The contract between the carrier and forwarder is a long-term issue, and the repeated contract business makes the forwarder develop a reference point based on the contract prices, and this reference effect, to a large extent, affects the forwarder’s contract purchasing decisions. Based on that, this paper introduces the reference effect in the sea-cargo supply chain and studies a multiple-period contract problem between the carrier and the forwarder. It is found that when the capacity price in the spot market is less than the forwarder’s willingness-to-pay, the forwarder’s contract purchasing decision is not affected by the reference effect, only by the capacity price in the spot market, and the multiple-period contract problem can be simplified into a single-period game. In addition, the carrier’s optimal contract wholesale price approaches the capacity price in the spot market. Although, the forwarder’s contract purchasing decision depends upon the reference effect, it is difficult to derive the closed-form solution. Moreover, because of the risk in the spot market, the carrier tends to sell his/her capacity in the contract market. Finally, we employ the numerical simulation to study the carrier’s contract pricing decisions and the forwarder’s capacity purchasing decisions in two cases.

scholarly journals A Dynamic Game Approach for Demand-Side Management: Scheduling Energy Storage with Forecasting Errors

2019 ◽  
Vol 10 (4) ◽  
pp. 897-929 ◽  
Author(s):  
Matthias Pilz ◽  
Luluwah Al-Fagih
Keyword(s):  
Energy Storage ◽  
Closed Form Solution ◽  
Dynamic Game ◽  
Demand Side Management ◽  
Form Solution ◽  
Demand Side ◽  
Case Scenario ◽  
Worst Case ◽  
Time Dynamic ◽  
Forecasting Errors

AbstractSmart metering infrastructure allows for two-way communication and power transfer. Based on this promising technology, we propose a demand-side management (DSM) scheme for a residential neighbourhood of prosumers. Its core is a discrete time dynamic game to schedule individually owned home energy storage. The system model includes an advanced battery model, local generation of renewable energy, and forecasting errors for demand and generation. We derive a closed-form solution for the best response problem of a player and construct an iterative algorithm to solve the game. Empirical analysis shows exponential convergence towards the Nash equilibrium. A comparison of a DSM scheme with a static game reveals the advantages of the dynamic game approach. We provide an extensive analysis on the influence of the forecasting error on the outcome of the game. A key result demonstrates that our approach is robust even in the worst-case scenario. This grants considerable gains for the utility company organising the DSM scheme and its participants.

scholarly journals Incentive Mechanism for Sustainable Improvement in a Supply Chain

2019 ◽  
Vol 11 (13) ◽  
pp. 3508 ◽  
Author(s):  
EuiBeom Jeong ◽  
GeunWan Park ◽  
Seung Ho Yoo
Keyword(s):  
Supply Chain ◽  
Environmental Quality ◽  
Stackelberg Game ◽  
Wholesale Price ◽  
Optimal Solution ◽  
Incentive Contract ◽  
Sustainable Improvement ◽  
Profit Performance

In this study, we consider the issue of sustainable development in the supply chain consisting of an original equipment manufacturer (OEM) and a contract manufacturer (CM). We investigate how to facilitate the CM’s investment in the environmental quality of a product so as to properly respond to climate change. We introduce a quantity incentive contract, and obtain the optimal solution based on a Stackelberg game. The OEM, as the focal company, determines the level of the incentive, and the CM, responsible for product design and production, determines its level of environmental quality given the OEM’s incentive offer. To investigate the effectiveness of the quantity incentive contract and provide important implications, we analytically compare the quantity incentive contract with the basic wholesale price contract without any incentives and conduct numerical experiments. Our results reveal that the quantity incentive contract facilitates the CM’s investment in environmental quality, and enhances the environmental, market, and profit performance of not only the CM but also the OEM which pays the incentive. We also show that the quantity incentive contract is suitable to develop a long-term relationship between the OEM and the CM.

scholarly journals Research on the Dynamics Game Model in a Green Supply Chain: Government Subsidy Strategies under the Retailer’s Selling Effort Level

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-15 ◽  
Author(s):  
Xigang Yuan ◽  
Xiaoqing Zhang ◽  
Dalin Zhang
Keyword(s):  
Supply Chain ◽  
Wholesale Price ◽  
Dynamic Game ◽  
Retail Price ◽  
Green Supply Chain ◽  
Government Subsidy ◽  
Principal Agent Theory ◽  
Effort Level ◽  
The Impact ◽  
Selling Effort

Based on dynamic game theory and the principal-agent theory, this paper examined different government subsidy strategies in green supply chain management. Assuming that the retailer’s level of selling effort involved asymmetric information, this study analyzed the impact of different government subsidy strategies on the wholesale price, the product greenness level, retail price, the level of selling effort, the manufacturer’s profit, and the retailer’s profit. The results showed that (1) the government’s subsidy strategy can effectively not only improve the product greenness level but also increase the profits of an enterprise in a green supply chain, which helps the retailer to enhance their selling effort; (2) regardless of whether the retailer’s level of selling effort was high or low, as the government’s subsidy coefficient increased, the wholesale price continued to decrease, and the product greenness level and retailer’s selling effort level also increased.

scholarly journals Risk-Averse Suppliers’ Optimal Pricing Strategies in a Two-Stage Supply Chain

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
Rui Shen ◽  
Zhiqing Meng ◽  
Xinsheng Xu ◽  
Min Jiang
Keyword(s):  
Supply Chain ◽  
Loss Function ◽  
Wholesale Price ◽  
Competitive Environment ◽  
Optimal Pricing ◽  
Risk Averse ◽  
Pricing Strategies ◽  
Two Stage ◽  
Future Loss

Risk-averse suppliers’ optimal pricing strategies in two-stage supply chains under competitive environment are discussed. The suppliers in this paper focus more on losses as compared to profits, and they care their long-term relationship with their customers. We introduce for the suppliers a loss function, which covers both current loss and future loss. The optimal wholesale price is solved under situations of risk neutral, risk averse, and a combination of minimizing loss and controlling risk, respectively. Besides, some properties of and relations among these optimal wholesale prices are given as well. A numerical example is given to illustrate the performance of the proposed method.

scholarly journals Competitive pricing strategies of multi channel supply chain under direct servicing by the manufacturer

2020 ◽  
Author(s):  
Amit Sarkar ◽  
Brojeswar Pal
Keyword(s):  
Supply Chain ◽  
Strategic Alliance ◽  
Wholesale Price ◽  
Optimum Level ◽  
Selling Price ◽  
Positive Effects ◽  
Pricing Decisions ◽  
The People ◽  
Demand Rate ◽  
Competitive Pricing

Internet and its accessible devices (e.g., mobiles, computers) are the unmitigated blessings to the people. Nowadays, internet connectivity almost eliminates all kinds of blockades for the verification of authentication, comparison of prices, and services for a product. Consequently, the market has been becoming more competitive compared to decision making.  In this paper, we construct a multi-channel supply chain (MCSC) frameworks with traditional channels as well as a direct channel (DC), where the manufacturer provides services to the customers for both the cases. Then the optimal decisions of the manufacturer and the retailers are examined. The optimal pricing decisions and services are discussed and also compared the profits with one another under various cases (Stackelberg Settings, Strategic Alliance, and two types of NO Improved Service). Then the sensitivity of the service cost coefficients and the cross-channel price coefficients on the profits for each player and the supply chain is analyzed. We find out the best profitable strategies under the parameters such as service costs and the positive effects of the service on the demand rate. We also mark out the optimum level of the services so that the profit will be maximized for each player. Finally, we define an interval such that if the service costs belong to that interval, then the selling price of the DC would be lesser than the wholesale price. These findings help companies such as automobiles, electronic goods, etc. to implement the best strategies to increase their profit.

A Parameterization of DNV GL Storm Profile for Long-Term Analysis of Ocean Storms: Trapezoidal Storm Model

2019 ◽  
Author(s):  
Valentina Laface ◽  
Elzbieta M. Bitner-Gregersen ◽  
Felice Arena ◽  
Alessandra Romolo
Keyword(s):  
Wave Height ◽  
Return Period ◽  
Model Development ◽  
Closed Form Solution ◽  
Form Solution ◽  
Storm Intensity ◽  
Storm Duration ◽  
Storm Evolution ◽  
Fixed Constant

Abstract The paper introduces a parameterization of the DNV GL storm profile for developing an analytical model for calculations of the return period of a storm whose peak exceeds a given threshold. The DNV GL storm evolution is represented via an isosceles trapezoidal shape in which the minor base represents the storm peak duration, the major base the total storm duration and the height is half of the highest significant wave height in the actual storm. In this representation, the storm duration is not related to the storm intensity and it is fixed constant and equal to 42 hours, while the peak duration is assumed to be 6 hours. The parameterization proposed in the paper consists in expressing the peak duration as a fraction of the total storm duration allowing to investigate the effects of storm peak duration on long term estimates. The analytical solution for the return period is derived by following the classical approach of Equivalent Storm Models that is referring to the equivalent storm sequence, with the only difference that all the Trapezoidal Storm durations are identical whatever the storm intensity is. This assumption leads to significant simplification on the model development and potential employment as well. Further, a closed form solution is achieved for the return period which is also a generalization of the triangular shape. Finally, data analysis with NDBC buoys data is carried out for validating the model and elucidating analogies and differences with respect to classical Equivalent Storm approach. Results have shown that the Trapezoidal Model can be thought as a triangular one with a prudential factor on the storm peak duration which results in a reasonable overestimation of maximum expected wave height and return values.

scholarly journals The Influence of Buyer Power on Supply Chain Pricing with Downstream Competition

2019 ◽  
Vol 11 (10) ◽  
pp. 2924
Author(s):  
Qiu Zhao
Keyword(s):  
Supply Chain ◽  
Wholesale Price ◽  
Consumer Welfare ◽  
Retail Price ◽  
Retail Market ◽  
Pricing Decisions ◽  
Buyer Power ◽  
Downstream Competition ◽  
The Impact ◽  
Vertical Market

This paper aims to investigate the impact of buyer power on the wholesale price and retail price of, in the case, downstream competition. Based on a summary of the competitive characteristics of China’s retail market, a model of a vertical market was constructed to examine the influence of buyer power on the pricing decisions of manufacturers and retailers, and to analyze the mechanism of price decisions. The results showed that the buyer power of national retailers reduced the wholesale price, but the impact on local retailers remained uncertain. Although increasing buyer power initially increased the local retailer’s wholesale price and caused the ‘waterbed effect’, we found that this effect reverted when the buyer power reached a point at which the ‘anti-waterbed effect’ appeared. The opposite was true of the retail price. However, buyer power reduced the average retail price, and consumer welfare improved.

Examining Double Marginalization Effect for Innovative Product Supply Chain

2012 ◽  
Vol 3 (1) ◽  
pp. 37-52 ◽  
Author(s):  
Wenjing Shen
Keyword(s):  
Supply Chain ◽  
Wholesale Price ◽  
Limited Attention ◽  
Innovative Product ◽  
Double Marginalization ◽  
Pricing Decisions ◽  
Number Of Factors ◽  
Innovative Products ◽  
Retail Prices ◽  
Over Time

Double marginalization effect refers to the phenomenon that when both upstream and downstream firms have monopolistic power, customers pay higher retail price and firms make less profit than when the supply chain is vertically integrated (Tirole, 1988). Although double marginalization effect has been extensively studied in the context of supply chain management for mature products, very limited attention has been given to innovative products whose demand is generated through word-of-mouth effect. The authors study the pricing decisions in a supply chain that sells innovative products. Using a modified Bass diffusion model to capture demand trajectory over time, the authors identify the optimal way for the retailer and supplier to adjust prices when profit is not discounted, and also provide numerical examples when profit is discounted. The authors show that (1) when profit is not discounted the optimal retail prices are adjusted over time, while the optimal wholesale price should be kept as a constant, and (2) double marginalization effect also exists in an innovative product supply chain, but its degree depends on a number of factors, such as the innovation and imitation coefficients.

scholarly journals A Network-Based Impact Measure for Propagated Losses in a Supply Chain Network Consisting of Resilient Components

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-13 ◽  
Author(s):  
Jesus Felix Bayta Valenzuela ◽  
Xiuju Fu ◽  
Gaoxi Xiao ◽  
Rick Siow Mong Goh
Keyword(s):  
Supply Chain ◽  
Numerical Study ◽  
Random Network ◽  
Continuous Distribution ◽  
Closed Form Solution ◽  
Form Solution ◽  
Supply Chain Network ◽  
Impact Measure ◽  
Focal Company ◽  
The Impact

The topology of a supply chain network affects the impacts of disruptions in it. We formulate a network-based measure of the impact of a disruption loss in a supply chain propagating downstream from an originating node. The measure takes into account the loss profile of the originating node, the structure of the supply network, and the resilience of the network components. We obtain an analytical expression for the impact measure under a beta-distributed initial loss (generalizable to any continuous distribution supported on the interval 0,1), under a breakthrough scenario (in which a fraction of the initial production loss reaches a focal company downstream as opposed to containment upstream or at the originating point). Furthermore, we obtain a closed-form solution for a supply chain network with a k-ary tree topology; a numerical study is performed for a scale-free network and a random network. Our proposed approach enables the evaluation of potential losses for a focal company considering its supply chain network structure, which may help the company to plan or redesign a robust and resilient network in response to different types of disruptions.

scholarly journals Inventory and Pricing Decisions Under Wholesale Price Contract with Social Preferences

2016 ◽  
Vol 4 (1) ◽  
pp. 68-86 ◽  
Author(s):  
Shuren Liu ◽  
Huina Chen ◽  
Lili Chen
Keyword(s):  
Supply Chain ◽  
Social Preferences ◽  
Stackelberg Game ◽  
Wholesale Price ◽  
Price Setting ◽  
Order Quantity ◽  
Pricing Decisions ◽  
Other Regarding ◽  
The Impact ◽  
Other Regarding Preferences

AbstractThis paper introduces the other-regarding preferences coefficients and studies the impact of social preferences on supply chain performance in the price-setting newsvendor setting. It is assumed that the stochastic demand is multiplicative. The manufacturer and retailer play a Stackelberg game. We analyze the impact of the decision-maker’s social preferences on the manufacturer’s optimal wholesale price, the retailer’s optimal retail price and order quantity, the supply chain member’s profits and utilities, and the supply chain system’s profits and utilities under three different cases that only the retailer, only the manufacturer and both are with social preferences. We show that a manufacturer, as a leader, should find a spiteful retailer, while a retailer, as a follower, should find a manufacturer with generous liability, to improve the entire supply chain. Finally, numerical examples are given to illustrate these results.

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