Pub Date : 2023-08-11DOI: 10.1007/s13235-023-00523-w
Touffik Bouremani, Yacine Slimani
{"title":"Study of a Warfare Differential Game via Dynamic Programming Approach","authors":"Touffik Bouremani, Yacine Slimani","doi":"10.1007/s13235-023-00523-w","DOIUrl":"https://doi.org/10.1007/s13235-023-00523-w","url":null,"abstract":"","PeriodicalId":48933,"journal":{"name":"Dynamic Games and Applications","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2023-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44390868","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}
Pub Date : 2023-07-26DOI: 10.1007/s13235-023-00512-z
Bing‐Chang Wang, Minyi Huang
{"title":"Mean Field Social Control for Production Output Adjustment with Noisy Sticky Prices","authors":"Bing‐Chang Wang, Minyi Huang","doi":"10.1007/s13235-023-00512-z","DOIUrl":"https://doi.org/10.1007/s13235-023-00512-z","url":null,"abstract":"","PeriodicalId":48933,"journal":{"name":"Dynamic Games and Applications","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2023-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44873001","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}
Pub Date : 2023-07-19DOI: 10.1007/s13235-023-00511-0
A. Jean-Marie, M. Tidball
{"title":"Dynamic Fishing with Endogenous Habitat Damage","authors":"A. Jean-Marie, M. Tidball","doi":"10.1007/s13235-023-00511-0","DOIUrl":"https://doi.org/10.1007/s13235-023-00511-0","url":null,"abstract":"","PeriodicalId":48933,"journal":{"name":"Dynamic Games and Applications","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2023-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48392127","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}
Pub Date : 2023-07-06DOI: 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}
Pub Date : 2023-07-01DOI: 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}
Pub Date : 2023-06-24DOI: 10.1007/s13235-023-00509-8
Jiyeon Park, Paul K. Newton
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.
我们使用d度的Bernstein多项式作为在双组分有限种群、混合良好、频率依赖的进化博弈设置中构建物种进化速率(与固定概率相关)的统一近似的基础。该近似在整个范围内都是有效的$$0 le w le 1$$，其中w是选择压力参数，并均匀收敛到精确解$$d rightarrow infty $$。我们将其与在弱选择极限($$w sim 0$$)中广泛使用的非均匀近似公式以及精确解的数值计算值进行比较。由于在弱选择极限中存在边界层，伯恩斯坦多项式方法在强选择区域($$w sim 1$$)(需要使用更少的模式来获得相同的精度水平)中近似进化速率比在弱选择区域更有效。
{"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}
Pub Date : 2023-06-22DOI: 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}
Pub Date : 2023-06-12DOI: 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}
Pub Date : 2023-06-02DOI: 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}
Pub Date : 2023-05-24DOI: 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}
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