This study investigates a supply chain comprising an original equipment manufacturer (OEM) and a contract manufacturer (CM), in which the CM acts as both upstream partner and downstream competitor to the OEM. The two parties can engage in one of three Cournot competition games: a simultaneous game, a sequential game with the OEM as the Stackelberg leader, and a sequential game with the CM as the Stackelberg leader. On the basis of these three basic games, this study investigates the two parties' Stackelberg leadership/followership decisions. When the outsourcing quantity and wholesale price are exogenously given, either party may prefer Stackelberg leadership or followership. For example, when the wholesale price or the proportion of production outsourced to the CM is lower than a threshold value, both parties prefer Stackelberg leadership and, consequently, play a simultaneous game in the consumer market. When the outsourcing quantity and wholesale price are decision variables, the competitive CM sets a wholesale price sufficiently low to allow both parties to coexist in the market, and the OEM outsources its entire production to this CM. This study also examines the impact of the supply chain parties' bargaining power on contract outcomes by considering a wholesale price that is determined via the generalized Nash bargaining scheme, finding a Stackelberg equilibrium to be sustained when the CM's degree of bargaining power is great and the non‐competitive CM's wholesale price is high.
Information about delays can enhance service quality in many industries. Delay information can take many forms, with different degrees of precision. Different levels of information have different effects on customers and so on the overall system. The goal of this research is to explore these effects. We first consider a queue with balking under three levels of delay information: No information, partial information (the system occupancy) and full information (the exact waiting time). We assume Poisson arrivals, independent, exponential service times, and a single server. Customers decide whether to stay or balk based on their expected waiting costs, conditional on the information provided. By comparing the three systems, we identify some important cases where more accurate delay information improves performance. In other cases, however, information can actually hurt the provider or the customers.We then investigate the impacts on the system of different cost functions and weight distributions. Specifically, we compare systems where these parameters are related by various stochastic orders, under different information scenarios. We also explore the relationship between customer characteristics and the value of information. The results here are mostly negative. We find that the value of information need not be greater for less patient or more risk-averse customers. After that, we extend our analysis to systems with phase-type service times. Our analytical and numerical results indicate that the previous conclusions about systems with exponential service times still hold for phase-type service times. We also show that service-time variability degrades the system's performance. At last, we consider two richer models of information: In the first model, an arriving customer learns an interval in which the system occupancy falls. In the second model, each customer's service time is the sum of a geometric number of i.i.d. exponential phases, and an arriving customer learns iv the total number of phases remaining in the system. For each information model, we compare two systems, identical except that one has more precise information. We study the effects of information on performance as seen by the service provider and the customers.v
We consider a single server queueing system in which service shuts down when no customers are present, and is resumed when the queue length reaches a given critical length. We assume customers are heterogeneous on delay sensitivity and analyze customers' strategic response to this mechanism and compare it to the overall optimal behavior. We provide algorithms to compute the equilibrium arrival rates and also derive the monotonicity of equilibrium and optimal arrival rates. We show that there may exist multiple equilibria in such a system and the optimal arrival rate may be larger or smaller than the decentralized equilibrium one.
We study three basic price competition games engaged in by an original equipment manufacturer (OEM) and its competitive original design manufacturer (ODM): a simultaneous pricing game, an OEM-pricing-early game, and an ODM-pricing-early game. The ODM provides contract manufacturing service to the OEM and competes with this OEM in the consumer market by selling self-branded products. We consider two market environments: the ODM market and the OEM market. For the ODM market, we show that a sequential pricing game arises as the outcome preferred by the OEM and its ODM. Moreover, the equilibrium that the OEM prices early risk-dominates the one that the ODM prices early. Nevertheless, for the OEM market, the simultaneous pricing game and the sequential pricing game can both arise and be sustained. We also demonstrate that it is in their mutual interest to be friends rather than foes.
This paper examines the impact of two reimbursement schemes, Fee-for-Service and Bundled Payment, on the social welfare, the patient revisit rate, and the patient waiting time in a public healthcare system. The two schemes differ on the payment mechanism: under the fee-for-service scheme, the healthcare provider receives the payment each time a patient visits (or revisits) whereas, under the bundled payment scheme, the healthcare provider receives a lump sum payment for the entire episode of care regardless of how many revisits a patient incurs. By considering the quality-speed tradeoff (i.e., a higher service speed reduces service quality, resulting in a higher revisit rate), we examine a three-stage Stackelberg game to determine the patients' initial visit rate, the service provider's service rate (which affects the revisit rate), and the funder's reimbursement rate. This analysis enables us to compare the equilibrium outcomes (social welfare, revisit rate and waiting time) associated with the two payment schemes. We find that when the patient pool size is large, the bundled payment scheme dominates the fee-for-service scheme in terms of higher social welfare and a lower revisit rate, whereas the fee-for-service scheme prevails in terms of shorter waiting time. When the patient pool is small, the bundle payment scheme dominates the fee-for-service scheme in all three performance measures.
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