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Core and EP allocations for different 3-player games  

Core and EP allocations for different 3-player games  

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Several real problems in telecommunication, transportation, and distribution industries can be analyzed by network flow models. In revenue management, pricing plays a primary role which increases the profit generated from a limited supply of assets. Pricing decision directly affects the amount of service or product demand. Hence, in traditional max...

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... methods work to impose fairness by maximization of the minimum satisfaction. Figure 4 illustrates the relative locations of the solutions to these 3-player games in barycenteric coordinates. The shaded area is related to the core (EP), which is not empty in this case, though it may happen sometimes if all of solutions lie into the core. ...

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Citations

... Their results suggest that the contractors can obtain higher profits due to cooperating through sharing resources. A cooperative game theory was used by Naseri and Hafezalkotob (2016) to demonstrate pricing decisions and allocation of benefits in a cooperative network flow and by Hafezalkotob et al. (2017b) for a vehicle routing problem in a competitive environment. Moreover, Xu and Beamon (2006) looked into a coordination mechanism for different supply chains in different scenarios and environments. ...
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... Their results suggest that the contractors can obtain higher profits due to cooperating through sharing resources. A cooperative game theory was used by Naseri and Hafezalkotob (2016) to demonstrate pricing decisions and allocation of benefits in a cooperative network flow and by Hafezalkotob et al. (2017b) for a vehicle routing problem in a competitive environment. Moreover, Xu and Beamon (2006) looked into a coordination mechanism for different supply chains in different scenarios and environments. ...
Article
As game theory continues to be a relevant approach in evaluating supply chain coordination and competition, this paper explores the various applications and current trends of game theory to supply chain management through an exhaustive review on the literature. This work reviews more than 200 papers which cover several supply chain formations, structures, environments, and decisions together with different game theoretic concepts and applications. First, the paper elaborates on the basic concepts of Nash and Stackelberg games to allow further understanding of their applications in supply chain analysis. The review is then presented and divided into three segments: 1) the development of game theory; 2) the use of Nash and Stackelberg solution concepts in analysing supply chain management; 3) the integration of game theory to different supply chain structures, decisions, and present conditions. Moreover, descriptive analytics are also provided to highlight the distribution of trending topics in the domain field. Finally, the paper provides a summary of the review and recommendation for future works in line with using game theory for supply chain analysis.
... Their results suggest that the contractors can obtain higher profits due to cooperating through sharing resources. A cooperative game theory was used by Naseri and Hafezalkotob (2016) to demonstrate pricing decisions and allocation of benefits in a cooperative network flow and by Hafezalkotob et al. (2017b) for a vehicle routing problem in a competitive environment. Moreover, Xu and Beamon (2006) looked into a coordination mechanism for different supply chains in different scenarios and environments. ...
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