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Contributions to Game Theory and Management最新文献

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Computation Problems for Envy Stable Solutions of Allocation Problems with Public Resources 公共资源配置问题羡慕稳定解的计算问题
Contributions to Game Theory and Management Pub Date : 1900-01-01 DOI: 10.21638/11701/spbu31.2021.22
N. Naumova
{"title":"Computation Problems for Envy Stable Solutions of Allocation Problems with Public Resources","authors":"N. Naumova","doi":"10.21638/11701/spbu31.2021.22","DOIUrl":"https://doi.org/10.21638/11701/spbu31.2021.22","url":null,"abstract":"We consider generalizations of TU games with restricted cooperation in partition function form and propose their interpretation as allocation problems with several public resources. Either all resources are goods or all resources are bads. Each resource is distributed between points of its set and permissible coalitions are subsets of the union of these sets. Each permissible coalition estimates each allocation of resources by its gain/loss function, that depends only on the restriction of the allocation on that coalition. A solution concept of \"fair\" allocation (envy stable solution) was proposed by the author in (Naumova, 2019). This solution is a simplification of the generalized kernel of cooperative games and it generalizes the equal sacrifice solution for claim problems. An allocation belongs to this solution if there do not exist special objections at this allocation between permissible coalitions. For several classes of such problems we describe methods for computation selectors of envy stable solutions.","PeriodicalId":235627,"journal":{"name":"Contributions to Game Theory and Management","volume":"61 12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114132506","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Optimal Control in the Network Model of Bi-virus Propagation 双病毒传播网络模型的最优控制
Contributions to Game Theory and Management Pub Date : 1900-01-01 DOI: 10.21638/11701/spbu31.2022.20
Xiuxiu Liu, E. Gubar
{"title":"Optimal Control in the Network Model of Bi-virus Propagation","authors":"Xiuxiu Liu, E. Gubar","doi":"10.21638/11701/spbu31.2022.20","DOIUrl":"https://doi.org/10.21638/11701/spbu31.2022.20","url":null,"abstract":"This thesis is devoted to the spread of virus in human society. First, we modified the original basic epidemiological model, and divide the system into M different types. The optimal control problem is formulated for the changes of compartments in different states. The total cost is then minimized, the Pontryagin maximum principle is used to solve this nonlinear optimal control problem. Next, we prove that the optimal policy has the simple structure. Finally, we fit the propagation process of this model using Matlab. Consider the situation where there are only two types of virus in the system, and compare the two types of virus appear at the same time and at different times.","PeriodicalId":235627,"journal":{"name":"Contributions to Game Theory and Management","volume":"43 3","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132394720","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Optimal Control in a Multiagent Opinion Dynamic System 多智能体意见动态系统的最优控制
Contributions to Game Theory and Management Pub Date : 1900-01-01 DOI: 10.21638/11701/spbu31.2022.05
Jingjing Gao, E. Parilina
{"title":"Optimal Control in a Multiagent Opinion Dynamic System","authors":"Jingjing Gao, E. Parilina","doi":"10.21638/11701/spbu31.2022.05","DOIUrl":"https://doi.org/10.21638/11701/spbu31.2022.05","url":null,"abstract":"The paper considers a multiagent system of opinion dynamics modeling a finite social network opinion transformation. In the system, there is an influencer or a player who is interested in making the agents' opinions in the system close to the target opinion. We assume that the player can influence the system only at a limited number of time periods. The player minimizes his costs by selecting moments to control the multiagent system at these moments, while at any time period he observes the agents' opinions. The optimization problem is solved using the Euler-equation approach. The numerical simulations represent the proposed method of finding the optimal solution of the problem.","PeriodicalId":235627,"journal":{"name":"Contributions to Game Theory and Management","volume":"64 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126959380","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Stable Goal-Based Management Strategy for Supply Chain Finance 基于稳定目标的供应链金融管理策略
Contributions to Game Theory and Management Pub Date : 1900-01-01 DOI: 10.21638/11701/spbu31.2022.25
N. Zenkevich, Anastasiia Ostashova, A. Ivakina
{"title":"Stable Goal-Based Management Strategy for Supply Chain Finance","authors":"N. Zenkevich, Anastasiia Ostashova, A. Ivakina","doi":"10.21638/11701/spbu31.2022.25","DOIUrl":"https://doi.org/10.21638/11701/spbu31.2022.25","url":null,"abstract":"The article is devoted to improving the methodology for managing the total working capital of the supply chain to reduce costs for given ranges of liquidity. The paper analyzes the current state of research on working capital management in supply chain finance and substantiates the multi-objective nature of managing joint working capital in the supply chain. The possibilities of individual financial instruments to reduce the cost of total working capital for given ranges of liquidity have been explored. The necessity of using the technique of dynamic goal programming in the problem of working capital management is substantiated. A model and algorithm of goal management have been developed, which is implemented on cases of real supply chains and has shown its effectiveness","PeriodicalId":235627,"journal":{"name":"Contributions to Game Theory and Management","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126279688","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Two-stage Minimum Cost Spanning Tree Game under Fuzzy Optimistic Coalition 模糊乐观联盟下的两阶段最小代价生成树对策
Contributions to Game Theory and Management Pub Date : 1900-01-01 DOI: 10.21638/11701/spbu31.2022.07
Zhao Guo, Dan Wang, Min Chen, Yin Li
{"title":"Two-stage Minimum Cost Spanning Tree Game under Fuzzy Optimistic Coalition","authors":"Zhao Guo, Dan Wang, Min Chen, Yin Li","doi":"10.21638/11701/spbu31.2022.07","DOIUrl":"https://doi.org/10.21638/11701/spbu31.2022.07","url":null,"abstract":"This paper discusses the problem of cost allocation when players have different levels of optimism based on the two-stage minimum spanning tree game, and uses Choquet integral to calculate the characteristic function of fuzzy optimistic coalition and fuzzy pessimistic coalition. It is proved that the subgame of the two-stage clear optimistic coalition minimum cost spanning tree game is also a convex game. Finally, an example is used to prove that the two-stage fuzzy pessimistic coalition minimum cost spanning tree game has a dynamical instability solution.","PeriodicalId":235627,"journal":{"name":"Contributions to Game Theory and Management","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125156476","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Coordination in Supply Networks with Combined Topology 组合拓扑下供应网络的协调
Contributions to Game Theory and Management Pub Date : 1900-01-01 DOI: 10.21638/11701/spbu31.2022.24
N. Zenkevich, N. Nikolchenko, I. Berezinets, Margarita V. Ivanova
{"title":"Coordination in Supply Networks with Combined Topology","authors":"N. Zenkevich, N. Nikolchenko, I. Berezinets, Margarita V. Ivanova","doi":"10.21638/11701/spbu31.2022.24","DOIUrl":"https://doi.org/10.21638/11701/spbu31.2022.24","url":null,"abstract":"The paper considers the problem of supply chain coordination in supply networks using the revenue-sharing contract. The supply network has a combined topology and consists of three levels of participants: manufacturers, a distributor, and retailers. The authors consider the companies' performance improvement as the motivation of companies to operate in coordinating conditions. Simulation of contract conditions is implemented for different types of supply networks: from a simple case to a more complex one. The contract procedure is modeled as a game between two companies. The game solution is a set of contract parameters, providing Nash equilibrium, achieving the maximum of the supply network profit and Pareto-optimality of the obtained solution. The results show the application of revenue-sharing contracts in such networks has several peculiarities: the role of a coordinator in the supply network should be performed by a distributor; the distributor, by setting unified revenue shares for all retailers and manufacturers, gets a share of the expected profit of the supply network, each retailer gets a share of the supply network profit for its sales channel, and each manufacturer gets a share of the supply network profit for its product.","PeriodicalId":235627,"journal":{"name":"Contributions to Game Theory and Management","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122703545","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Existence of Stable Coalition Structures in Three-player Games with Graph-constrained Solution 图约束解的三人博弈稳定联盟结构的存在性
Contributions to Game Theory and Management Pub Date : 1900-01-01 DOI: 10.21638/11701/spbu31.2022.17
Ping Sun
{"title":"Existence of Stable Coalition Structures in Three-player Games with Graph-constrained Solution","authors":"Ping Sun","doi":"10.21638/11701/spbu31.2022.17","DOIUrl":"https://doi.org/10.21638/11701/spbu31.2022.17","url":null,"abstract":"The stability of coalition structures is investigated in the sense that no player prefers to individually deviate from the current coalition considering his utility. This principle is close to the concept of the Nash equilibrium. The evaluation of each player's utility is determined with respect to the solution concept- the Shapley value with exogenous directed graph constraint. The existence of a stable coalition structure with respect to such a solution is examined for two-player as well as three-player games.","PeriodicalId":235627,"journal":{"name":"Contributions to Game Theory and Management","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130667473","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Vector Epidemic Model of Malaria with Nonconstant-Size Population 非恒定种群的疟疾病媒流行模型
Contributions to Game Theory and Management Pub Date : 1900-01-01 DOI: 10.21638/11701/spbu31.2022.15
Serigne Modou Ndiaye
{"title":"Vector Epidemic Model of Malaria with Nonconstant-Size Population","authors":"Serigne Modou Ndiaye","doi":"10.21638/11701/spbu31.2022.15","DOIUrl":"https://doi.org/10.21638/11701/spbu31.2022.15","url":null,"abstract":"The paper presents the dynamic characteristics of a vector-host epidemic model with direct transmission. The malaria propagation model is defined by a system of ordinary differential equations. The host population is divided into four subpopulations: susceptible, exposed, infected and recovered, and the vector population is divided into three subpopulations: susceptible, exposed and infected. Using the theory of the Lyapunov functions, certain sufficient conditions for the global stability of the disease-free equilibrium and endemic equilibrium are obtained. The basic reproduction number that characterizes the evolution of the epidemic in the population was found. Finally, numerical simulations are carried out to study the influence of the key parameters on the spread of vector-borne disease.","PeriodicalId":235627,"journal":{"name":"Contributions to Game Theory and Management","volume":"91 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123132204","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Implementation of a Multi-Objective Working Capital Management Strategy for Financial Supply Chains 金融供应链多目标营运资金管理策略的实施
Contributions to Game Theory and Management Pub Date : 1900-01-01 DOI: 10.21638/11701/spbu31.2021.23
Mariia Smirnova, A. Ivakina, N. Zenkevich
{"title":"Implementation of a Multi-Objective Working Capital Management Strategy for Financial Supply Chains","authors":"Mariia Smirnova, A. Ivakina, N. Zenkevich","doi":"10.21638/11701/spbu31.2021.23","DOIUrl":"https://doi.org/10.21638/11701/spbu31.2021.23","url":null,"abstract":"The issue of adequate application of quantitative supply chain (SCF) solutions for cooperative working capital management becomes more and more important in terms of globalization and growing competition between supply chains (SCs). Authors address the problem by developing models for cooperative working capital management (WCM) through SCF adoption for the case of the three-stage supply chain. The grounding for the optimization is multicriteria approach. The multi-objective working capital optimization model (Ivakina et al., 2021) allows to nd optimal solution regardless initial financial and liquidity position of SC. In the article, we use this model to quantitatively implement a multi-objective working capital management strategy on the cases of real supply chains. The results obtained in the paper indicate that the model of working capital optimization with concurrent use of multiple supply chain finance solutions can provide an optimal solution for all the cases considered in the research. It allows to decrease the total financial costs on working capital and supply chain finance solutions making individual ones not worse and at the same time achieve greater liquidity.","PeriodicalId":235627,"journal":{"name":"Contributions to Game Theory and Management","volume":"119 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128129950","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Multi-Objective Model of Working Capital Optimization 营运资金优化的多目标模型
Contributions to Game Theory and Management Pub Date : 1900-01-01 DOI: 10.21638/11701/spbu31.2021.13
A. Ivakina, Mariia Smirnova, N. Zenkevich
{"title":"The Multi-Objective Model of Working Capital Optimization","authors":"A. Ivakina, Mariia Smirnova, N. Zenkevich","doi":"10.21638/11701/spbu31.2021.13","DOIUrl":"https://doi.org/10.21638/11701/spbu31.2021.13","url":null,"abstract":"In recent years, the topic of supply chain finance has gained a lot of attention from academia, but still, there are a lot of unexplored areas. For example, the literature demonstrates a clear gap of adequate application of numerous supply chain finance solutions for collaborative working capital management (Gelsomino et al., 2019). This issue becomes more and more important, specifically in terms of globalization and growing competition between supply chains when liquidity and profitability improvement is of paramount relevance. Companies focusing on their individual supply chain issues and taking their own interests into account rather than understanding the whole supply chain and collaborating with their partners are missing fruitful areas for improvements (Wuttke et al., 2016). The authors address this gap by developing a model for collaborative working capital management through supply chain finance adoption for the case of the three-stage supply chain. At the same time, the process of working capital optimization is received as a multi-objective problem. The results obtained indicate that the model of working capital optimization with concurrent use of multiple supply chain finance solutions is able to provide an optimal solution for all the cases considered in the research. It allows to decrease the total financial costs on working capital and supply chain finance solutions making individual ones not worse and at the same time achieve greater liquidity.","PeriodicalId":235627,"journal":{"name":"Contributions to Game Theory and Management","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126852463","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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