Journal of Dynamics and Games最新文献

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Existence and computation of stationary solutions for congestion-type mean field games via bifurcation theory and forward-forward problems 用分岔理论和正-正问题求解拥塞型平均场对策平稳解的存在与计算
Journal of Dynamics and Games Pub Date : 2023-01-01 DOI: 10.3934/jdg.2023014
Joshua Sin, John W. Bonnes, Luke C. Brown, David M. Ambrose
{"title":"Existence and computation of stationary solutions for congestion-type mean field games via bifurcation theory and forward-forward problems","authors":"Joshua Sin, John W. Bonnes, Luke C. Brown, David M. Ambrose","doi":"10.3934/jdg.2023014","DOIUrl":"https://doi.org/10.3934/jdg.2023014","url":null,"abstract":"Time-dependent mean field games are a coupled system of a forward parabolic and backward parabolic partial differential equation. Stationary solutions are of interest, and then naturally the forward-backward structure in time becomes irrelevant. Forward-forward mean field games have been introduced with the rationale that they may be used to straightforwardly compute such stationary solutions. We perform some numerical simulations to find that typically stationary solutions of mean field games are unstable to the forward-forward evolution, i.e. frequently only trivial solutions can be found in this way. We then ask whether there are situations in which one would have reason to believe that the stationary solutions would be stable, and we use the exchange-of-stability phenomenon in bifurcation theory to give a class of examples for which the forward-forward solutions do converge to nontrivial stationary solutions as time increases.","PeriodicalId":42722,"journal":{"name":"Journal of Dynamics and Games","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135755084","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
Silvopastoral and agroforestry systems: An integer linear programming model for investment decisions 森林与农林业系统:投资决策的整数线性规划模型
Journal of Dynamics and Games Pub Date : 2023-01-01 DOI: 10.3934/jdg.2023013
Rodrigo Conde, Franco Robledo, Agustín López de Lacalle
{"title":"Silvopastoral and agroforestry systems: An integer linear programming model for investment decisions","authors":"Rodrigo Conde, Franco Robledo, Agustín López de Lacalle","doi":"10.3934/jdg.2023013","DOIUrl":"https://doi.org/10.3934/jdg.2023013","url":null,"abstract":"Since the countryside is one of the main drivers of the global economy, it is vital to support its technological development. When a potential investor contemplates agribusiness investments, several alternatives are presented to him, including forestry, livestock raising, and silvopastoralism, which consists of integrating both activities into a single agroforestry system. In this paper, we address the problem of designing a portfolio of agroforestry investments that maximizes economic results. In order to do so, we developed an integer linear programming model, which selects the optimal combination of the three aforementioned activities for a zoned field. This model was created from a national perspective, considering elements specific to the Uruguayan reality. Additionally, we produced a model implementation utilizing cutting-edge software such as AMPL and CPLEX. This solution was empirically validated using a battery of 56 test cases, based on actual data gathered from multiple sources.","PeriodicalId":42722,"journal":{"name":"Journal of Dynamics and Games","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135594709","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
Understanding the role of the environment on the dynamic of tourism and economic growth: New assumptions in terms of time and population growth rate 了解环境对旅游和经济增长动态的作用:关于时间和人口增长率的新假设
IF 0.9
Journal of Dynamics and Games Pub Date : 2023-01-01 DOI: 10.3934/jdg.2023007
Pilar Lorenzo, Martín Olivera
{"title":"Understanding the role of the environment on the dynamic of tourism and economic growth: New assumptions in terms of time and population growth rate","authors":"Pilar Lorenzo, Martín Olivera","doi":"10.3934/jdg.2023007","DOIUrl":"https://doi.org/10.3934/jdg.2023007","url":null,"abstract":"","PeriodicalId":42722,"journal":{"name":"Journal of Dynamics and Games","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75550073","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 characterizations of cost share equilibria 成本分担均衡的两个特征
IF 0.9
Journal of Dynamics and Games Pub Date : 2023-01-01 DOI: 10.3934/jdg.2023002
M. Graziano, Marialaura Pesce, M. Romaniello
{"title":"Two characterizations of cost share equilibria","authors":"M. Graziano, Marialaura Pesce, M. Romaniello","doi":"10.3934/jdg.2023002","DOIUrl":"https://doi.org/10.3934/jdg.2023002","url":null,"abstract":"","PeriodicalId":42722,"journal":{"name":"Journal of Dynamics and Games","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82549551","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 investment in a general stochastic factor framework under model uncertainty 模型不确定性下一般随机因子框架下的最优投资
Journal of Dynamics and Games Pub Date : 2023-01-01 DOI: 10.3934/jdg.2023011
Ioannis Baltas
{"title":"Optimal investment in a general stochastic factor framework under model uncertainty","authors":"Ioannis Baltas","doi":"10.3934/jdg.2023011","DOIUrl":"https://doi.org/10.3934/jdg.2023011","url":null,"abstract":"The present paper aims to study a robust-entropic optimal control problem arising in a general stochastic factor model framework. To be more precise, we consider a portfolio manager who has the possibility to invest part of her wealth in a financial market consisting of two assets: a risk-free asset (e.g., bank account) and a risky one (e.g., stock or index). Furthermore, it is assumed that the dynamics of the risky asset depend on some external stochastic factor. Model uncertainty aspects are introduced as the portfolio manager does not fully trust the model she faces, hence she decides to make her decision robust. By employing a mixture of robust control and dynamic programming techniques within a very general framework, we are able to characterize the optimal robust value function and the feedback control law by solving an expected utility maximization problem. In the special case the portfolio manager operates under the exponential utility function, we provide closed form solutions for the optimal investment decision and the optimal value function for an interesting example arising in finance. Finally, we present a numerical example of our results with special focus given on the impact of robustness on the optimal decision of the portfolio manager.","PeriodicalId":42722,"journal":{"name":"Journal of Dynamics and Games","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135494622","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
Producer behavior with rules of origin 生产者行为与原产地规则
IF 0.9
Journal of Dynamics and Games Pub Date : 2023-01-01 DOI: 10.3934/jdg.2023006
Laura Díaz, J. Sempere
{"title":"Producer behavior with rules of origin","authors":"Laura Díaz, J. Sempere","doi":"10.3934/jdg.2023006","DOIUrl":"https://doi.org/10.3934/jdg.2023006","url":null,"abstract":"","PeriodicalId":42722,"journal":{"name":"Journal of Dynamics and Games","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83917648","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
Characteristic functions in cooperative differential games on networks 网络上合作微分对策的特征函数
Journal of Dynamics and Games Pub Date : 2023-01-01 DOI: 10.3934/jdg.2023017
Leon Petrosyan, David Yeung, Yaroslavna Pankratova
{"title":"Characteristic functions in cooperative differential games on networks","authors":"Leon Petrosyan, David Yeung, Yaroslavna Pankratova","doi":"10.3934/jdg.2023017","DOIUrl":"https://doi.org/10.3934/jdg.2023017","url":null,"abstract":"In the paper, a class of cooperative differential games on networks is considered. In such games, the new characteristic function is introduced based on the possibility of stopping interaction by players outside the coalition in each time instant or imposing sanction on players from the coalition. This gives the real possibility for the computation of characteristic function. Thus, the characteristic function is evaluated along the cooperative trajectory. It measures the worth of coalitions under the process of cooperation instead of under minimax confrontation or the Nash non-cooperative stance. The approach essentially simplifies the construction of the characteristic function and cooperative solutions such as the Shapley value, Core, $ tau $-value and others. Also, it is proved that the proposed characteristic function is convex, time consistent, and as a result, the Shapley value belongs to the Core and is time consistent. Also, a modification of the dynamic game on networks, namely, dynamic network game with partner sets is considered. In this case, payoffs of a given player depend on his actions and the actions of the players from his partner set. Using previous ideas, the special type of characteristic function is introduced, and cooperative solutions are proposed.","PeriodicalId":42722,"journal":{"name":"Journal of Dynamics and Games","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135009466","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
Salah-Mohammad triangular distribution Curve is an Alternative to the Laffer curve 萨拉赫-穆罕默德三角分布曲线是拉弗曲线的另一种选择
Journal of Dynamics and Games Pub Date : 2023-01-01 DOI: 10.3934/jdg.2023021
Salah Salimian, Mohammad Hadi Sobhanian
{"title":"Salah-Mohammad triangular distribution Curve is an Alternative to the Laffer curve","authors":"Salah Salimian, Mohammad Hadi Sobhanian","doi":"10.3934/jdg.2023021","DOIUrl":"https://doi.org/10.3934/jdg.2023021","url":null,"abstract":"Today, financing the government's expenses through taxes is the main and, at the same time, the most stable method, with the least negative economic consequences, stabilizing the economy by adopting optimal policies in recession and inflation conditions. The costs for the government have increased due to the extent of the government's obligations in the economic and social fields, requiring the implementation of ways to increase tax revenues and obtain resources to cover these costs. This paper deals with modeling the game between the taxpayers and the tax administration to achieve the factors affecting the optimal performance tax rate and determine the optimal performance tax rate. Assuming that the income of the tax affairs organization (government) is distributed triangularly in the interval [0, 1], and the quality of the investigating group is not known to the taxpayers, the proposed game is solved, and theorems are presented. The results showed that the income of the tax affairs organization had an inverse relationship with investigation costs and a direct relationship with the fines received from the taxpayers. Also, under certain conditions, the income of the tax affairs organization increases with the increase in the quality of the assessment groups. Finally, there was an inverse relationship between the optimal tax rate and the variables of investigating quality and diagnostic tax.","PeriodicalId":42722,"journal":{"name":"Journal of Dynamics and Games","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135263008","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
Can the indifferent population affect the spread of rumors? 冷漠的人群会影响谣言的传播吗?
IF 0.9
Journal of Dynamics and Games Pub Date : 2023-01-01 DOI: 10.3934/jdg.2023005
E. Accinelli, L. Quintas, H. Muñiz, Jorge Zazueta
{"title":"Can the indifferent population affect the spread of rumors?","authors":"E. Accinelli, L. Quintas, H. Muñiz, Jorge Zazueta","doi":"10.3934/jdg.2023005","DOIUrl":"https://doi.org/10.3934/jdg.2023005","url":null,"abstract":"","PeriodicalId":42722,"journal":{"name":"Journal of Dynamics and Games","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74947327","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
An agent-based and microsimulated model of the epidemiology impact of closure of schools during the COVID-19 pandemic in the region of Aysen in Chile 基于主体的微模拟模型,分析了智利Aysen地区2019冠状病毒病大流行期间学校关闭对流行病学的影响
IF 0.9
Journal of Dynamics and Games Pub Date : 2023-01-01 DOI: 10.3934/jdg.2023003
Gabriel Brida, Nicolás Garrido
{"title":"An agent-based and microsimulated model of the epidemiology impact of closure of schools during the COVID-19 pandemic in the region of Aysen in Chile","authors":"Gabriel Brida, Nicolás Garrido","doi":"10.3934/jdg.2023003","DOIUrl":"https://doi.org/10.3934/jdg.2023003","url":null,"abstract":"This paper analyzes the impact on the spread of the COVID-19 virus of making virtual the educational system in the Region of Aysen in Chile. The analyzes is made through a mix of agent-based modelling and microsim-ulation techniques, using multiple sources of administrative and census data. The behavior of 103,000 habitants of the region is modeled during each one of the seven days of the week, for 10 weeks. The diffusion of the virus is mod-eled as consequence of the social interaction of the individuals in five different environments: home, the transportation system, at work, the educational sys-tem and in places of entertainment. The results show that the closure of the educational system is important to flatten the curve of contagious. In a world where people don't do social distancing, it could lower R0 by one unit.","PeriodicalId":42722,"journal":{"name":"Journal of Dynamics and Games","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83127761","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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