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Study of a Warfare Differential Game via Dynamic Programming Approach 基于动态规划方法的战争微分对策研究
IF 1.5 4区 数学
Dynamic Games and Applications Pub Date : 2023-08-11 DOI: 10.1007/s13235-023-00523-w
Touffik Bouremani, Yacine Slimani
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引用次数: 0
Mean Field Social Control for Production Output Adjustment with Noisy Sticky Prices 有噪声粘性价格下产量调整的平均场社会控制
IF 1.5 4区 数学
Dynamic Games and Applications Pub Date : 2023-07-26 DOI: 10.1007/s13235-023-00512-z
Bing‐Chang Wang, Minyi Huang
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引用次数: 0
Dynamic Fishing with Endogenous Habitat Damage 动态捕捞与内源性生境损害
IF 1.5 4区 数学
Dynamic Games and Applications Pub Date : 2023-07-19 DOI: 10.1007/s13235-023-00511-0
A. Jean-Marie, M. Tidball
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引用次数: 0
Assortment by Group Founders Always Promotes the Evolution of Cooperation Under Global Selection But Can Oppose it Under Local Selection 集团创始人的组合总是在全球选择下促进合作的演变，但在本地选择下可以反对
IF 1.5 4区 数学
Dynamic Games and Applications Pub Date : 2023-07-06 DOI: 10.1007/s13235-023-00514-x
Éloi Martin, S. Lessard
{"title":"Assortment by Group Founders Always Promotes the Evolution of Cooperation Under Global Selection But Can Oppose it Under Local Selection","authors":"Éloi Martin, S. Lessard","doi":"10.1007/s13235-023-00514-x","DOIUrl":"https://doi.org/10.1007/s13235-023-00514-x","url":null,"abstract":"","PeriodicalId":48933,"journal":{"name":"Dynamic Games and Applications","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2023-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49306522","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Sequential Decomposition of Discrete-Time Mean-Field Games 离散时间平均场对策的序列分解
IF 1.5 4区 数学
Dynamic Games and Applications Pub Date : 2023-07-01 DOI: 10.1007/s13235-023-00507-w
Deepanshu Vasal
{"title":"Sequential Decomposition of Discrete-Time Mean-Field Games","authors":"Deepanshu Vasal","doi":"10.1007/s13235-023-00507-w","DOIUrl":"https://doi.org/10.1007/s13235-023-00507-w","url":null,"abstract":"","PeriodicalId":48933,"journal":{"name":"Dynamic Games and Applications","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2023-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46428783","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Bernstein Polynomial Approximation of Fixation Probability in Finite Population Evolutionary Games 有限种群进化对策中固定概率的Bernstein多项式逼近
4区 数学
Dynamic Games and Applications Pub Date : 2023-06-24 DOI: 10.1007/s13235-023-00509-8
Jiyeon Park, Paul K. Newton
{"title":"Bernstein Polynomial Approximation of Fixation Probability in Finite Population Evolutionary Games","authors":"Jiyeon Park, Paul K. Newton","doi":"10.1007/s13235-023-00509-8","DOIUrl":"https://doi.org/10.1007/s13235-023-00509-8","url":null,"abstract":"We use the Bernstein polynomials of degree d as the basis for constructing a uniform approximation to the rate of evolution (related to the fixation probability) of a species in a two-component finite-population, well-mixed, frequency-dependent evolutionary game setting. The approximation is valid over the full range $$0 le w le 1$$ , where w is the selection pressure parameter, and converges uniformly to the exact solution as $$d rightarrow infty $$ . We compare it to a widely used non-uniform approximation formula in the weak-selection limit ( $$w sim 0$$ ) as well as numerically computed values of the exact solution. Because of a boundary layer that occurs in the weak-selection limit, the Bernstein polynomial method is more efficient at approximating the rate of evolution in the strong selection region ( $$w sim 1$$ ) (requiring the use of fewer modes to obtain the same level of accuracy) than in the weak selection regime.","PeriodicalId":48933,"journal":{"name":"Dynamic Games and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135842658","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Mixed Market Structure and R &D: A Differential Game Approach 混合市场结构与研发:一个微分博弈方法
IF 1.5 4区 数学
Dynamic Games and Applications Pub Date : 2023-06-22 DOI: 10.1007/s13235-023-00504-z
Akihiko Yanase, N. Long
{"title":"Mixed Market Structure and R &D: A Differential Game Approach","authors":"Akihiko Yanase, N. Long","doi":"10.1007/s13235-023-00504-z","DOIUrl":"https://doi.org/10.1007/s13235-023-00504-z","url":null,"abstract":"","PeriodicalId":48933,"journal":{"name":"Dynamic Games and Applications","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2023-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41513996","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Learning, Mean Field Approximations, and Phase Transitions in Auction Models 学习，平均场近似和拍卖模型中的相变
IF 1.5 4区 数学
Dynamic Games and Applications Pub Date : 2023-06-12 DOI: 10.1007/s13235-023-00508-9
J. P. Pinasco, N. Saintier, M. Kind
{"title":"Learning, Mean Field Approximations, and Phase Transitions in Auction Models","authors":"J. P. Pinasco, N. Saintier, M. Kind","doi":"10.1007/s13235-023-00508-9","DOIUrl":"https://doi.org/10.1007/s13235-023-00508-9","url":null,"abstract":"","PeriodicalId":48933,"journal":{"name":"Dynamic Games and Applications","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2023-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45027211","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Deterministic Approximation of a Stochastic Imitation Dynamics with Memory 具有记忆的随机模仿动力学的确定性逼近
IF 1.5 4区 数学
Dynamic Games and Applications Pub Date : 2023-06-02 DOI: 10.1007/s13235-023-00513-y
O. Aydogmus, Yun Kang
{"title":"Deterministic Approximation of a Stochastic Imitation Dynamics with Memory","authors":"O. Aydogmus, Yun Kang","doi":"10.1007/s13235-023-00513-y","DOIUrl":"https://doi.org/10.1007/s13235-023-00513-y","url":null,"abstract":"","PeriodicalId":48933,"journal":{"name":"Dynamic Games and Applications","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2023-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42662808","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Review of Tipping Points and Precaution using HJB equations 用HJB方程评述引爆点和预防措施
IF 1.5 4区 数学
Dynamic Games and Applications Pub Date : 2023-05-24 DOI: 10.1007/s13235-023-00505-y
A. de Zeeuw
{"title":"A Review of Tipping Points and Precaution using HJB equations","authors":"A. de Zeeuw","doi":"10.1007/s13235-023-00505-y","DOIUrl":"https://doi.org/10.1007/s13235-023-00505-y","url":null,"abstract":"","PeriodicalId":48933,"journal":{"name":"Dynamic Games and Applications","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2023-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49474864","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","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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