Nash equilibrium for manufacturer-retailer inventory model with perishable goods and time depending holding cost

Setiawan, Rubono; Salmah,; Widodo, Widodo; Endrayanto, Irwan; Indarsih,

doi:10.1063/5.0039794

Cited by 2 publications

(2 citation statements)

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“…[5]: Define the strategic space using np.array. [6]: For each strategy in Player I's strategic space: [7]: For each strategy in Player II's strategic space: [8]: Input: the form of weighted payoff for Player I and check if the weighted payoff is less than or equal to the upper bound. [9]: Input: the form of the weighted payoff for Player II and check if the weighted payoff is less than or equal to the upper bound.…”

Section: Algorithm To Obtain the Weighted Nash Equilibriummentioning

confidence: 99%

“…Another result can be found in several papers, such as supply chain with multiple retailers [2], the competitive newsboy [3], and newsvendor games in inventory problems [4]. In recent years, the application of game theory in inventory problems has recently been extended to the multiplayer supply chain [5][6][7][8]. Game theory has been used to solve multi-player supply chain problems with linear multi-objectives [9].…”

Section: Introductionmentioning

confidence: 99%

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Analysis of a Single Manufacturer Multi-Retailer Inventory Competition Using Supermodular Multi-Objective Games

Setiawan¹,

Salmah²,

Endrayanto³

et al. 2022

MMEP

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In this research, the optimum decision of a multi-objective inventory game problem has been investigated under strategic complementarities in a multiplayer supply chain. The supply chain comprises a single retailer and multi-retailers under the synchronization process, the wholesale contract, and the buy-back contract policy. We apply some results in supermodular multi-objective game theory to solve these problems. The optimal decision for all players is formed in two equilibria, namely the Pareto equilibrium and the weighted Nash equilibrium. For numerical results, A genetic algorithm and dominance principle elements of the payoff matrix are used to obtain the weighted Nash equilibrium and the weighted Nash equilibrium, respectively. The analytical and numerical results using the supermodular multi-objective games concept can be significant results to solve the supply chain competition problems in the industrial engineering.

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