Dynamics of Democratic Elections: A Mathematical Approach to Political Science
暫譯: 民主選舉的動態：政治科學的數學方法

《民主選舉的動態》探討了在數學、政治科學和計算建模交叉點上，對民主選舉和意見動態的建模方法。本書專注於相對簡單的模型、它們的分析以及在現實應用中的表現。為了使本書易於導航，內容分為三個主要部分，分別是「選民模型」、「非線性選舉模型」和「博弈論模型」。儘管內容毫不掩飾地數學化，但這些概念的討論方式應該能夠讓任何具有相當強量化背景的人都能理解，並且對數學家以外的廣泛讀者群體也應該具有吸引力。

特色

• 適合研究生和研究人員（數學家、物理學家、具有強大理論背景的社會和政治科學家）


• 逐步數據準備和分析


• 豐富的練習題


• 大量彩色插圖

Johannes Müller is an associate professor of mathematics at the Technische Universität München. His work bridges mathematics with the life and social sciences, focusing on dynamical systems and stochastic processes. Key areas of application include epidemiology - especially vaccination strategies and contact tracing - cell regulatory pathways with an emphasis on quorum sensing, and population genetics, including the role of quiescence. In the social sciences, his research explores elections, opinion dynamics, and social interaction models. Johannes studied in Karlsruhe and Tübingen, where he completed his habilitation in 2001. Following stays in Utrecht and Cologne, he led a research group at the Helmholtz Center in Munich before joining TUM in 2004.

Volker Hösel studied physics and mathematics at the University of Erlangen-Nuremberg, earning both degrees with distinction. He completed his Ph.D. in stochastic processes and habilitation in mathematics at the Technical University of Munich. His academic career includes research at the GSF Research Center for Environment and Health, a sabbatical at the University of North Carolina at Chapel Hill, and extensive teaching at the Technical University of Munich. Dr. Hösel specializes in applied statistics, bioinformatics, and functional analysis. He lives and works in Munich, Germany.

Aurélien Tellier is a theoretical evolutionary biologist. Aurélien studied agronomy, plant biology, genetics, and statistics at ENITA (Bordeaux, France) and population genetics at AgroParisTech Paris, France). After obtaining his doctorate at the John Innes Centre (Norwich, UK) in 2007, he spent five years as a postdoctoral research fellow at LMU Munich. Since 2012, he has held the position of associate professor of population genetics at the Technical University of Munich. Aurélien's area of research is to develop population genetics theoretical models to comprehend genome evolution at the population or species level, aiming to bridge evolutionary and ecological time scales and processes. He also explores the evolutionary mechanisms of plant adaptation to their environment, considering aspects such as different climatic conditions and resistance against parasites (bacteria, fungi, insects). The primary focus of his research is the study of plant-parasite coevolution and long-term seed dormancy in the soil. Besides biology, Aurelien is interested in assessing the importance of random processes for disease epidemiology or human choices (for example in politics).

Christoph Mohamad-Klotzbach studied Political Science, Sociology, and History at the University of Würzburg. In his PhD thesis, he developed a new approach for measuring cleavage structures in democracies. He is currently a Post-Doctoral Researcher in Comparative Politics at the Institute of Political Science and Sociology at the University of Würzburg, Germany. His research areas are Political Culture, Democracy Studies, Stateness, Political Parties and Voting Behaviour. Between 2019 and 2023 he was the coordinator of the interdisciplinary DFG research group FOR2757 on "Local self-regulation in the context of weak statehood between antiquity and modernity (LoSAM)" and between 2018 and 2024 he was a speaker of the Working Group on Democracy Studies in the German Political Science Association (DVPW). He was a guest researcher at Canterbury Christ Church University in Kent, at the IESP-UERJ in Rio de Janeiro and at the UFRGS in Porto Alegre.

約翰內斯·穆勒是慕尼黑工業大學的數學副教授。他的研究將數學與生命科學和社會科學相結合，專注於動態系統和隨機過程。主要應用領域包括流行病學——特別是疫苗接種策略和接觸追蹤——細胞調控途徑，強調群體感應，以及人口遺傳學，包括靜止狀態的角色。在社會科學方面，他的研究探討選舉、意見動態和社會互動模型。約翰內斯在卡爾斯魯厄和圖賓根學習，並於2001年完成了他的資格論文。隨後，他在烏特勒支和科隆逗留，並在慕尼黑的亥姆霍茲中心領導一個研究小組，於2004年加入慕尼黑工業大學。

福爾克·霍塞爾在埃爾朗根-紐倫堡大學學習物理和數學，並以優異的成績獲得兩個學位。他在慕尼黑工業大學完成了隨機過程的博士學位和數學的資格論文。他的學術生涯包括在環境與健康研究中心（GSF）的研究、在北卡羅來納大學教堂山分校的休假，以及在慕尼黑工業大學的廣泛教學。霍塞爾博士專注於應用統計學、生物信息學和泛函分析。他在德國慕尼黑生活和工作。

奧雷利安·泰利耶是一位理論進化生物學家。奧雷利安在法國波爾多的ENITA學習農學、植物生物學、遺傳學和統計學，並在法國巴黎的AgroParisTech學習人口遺傳學。2007年，他在英國諾里奇的約翰·伊尼斯中心獲得博士學位後，作為博士後研究員在慕尼黑大學工作了五年。自2012年以來，他在慕尼黑工業大學擔任人口遺傳學副教授。奧雷利安的研究領域是開發人口遺傳學理論模型，以理解基因組在種群或物種層面的演化，旨在橋接演化和生態時間尺度及過程。他還探討植物適應環境的演化機制，考慮不同氣候條件和對寄生蟲（細菌、真菌、昆蟲）的抵抗等方面。他的研究主要集中在植物與寄生蟲的共同演化以及土壤中的長期種子休眠。除了生物學，奧雷利安還對隨機過程在疾病流行病學或人類選擇（例如政治）中的重要性進行評估。

克里斯托夫·穆哈馬德-克洛茨巴赫在維爾茨堡大學學習政治學、社會學和歷史。在他的博士論文中，他開發了一種測量民主中分裂結構的新方法。他目前是德國維爾茨堡大學政治科學與社會學研究所的比較政治學博士後研究員。他的研究領域包括政治文化、民主研究、國家性、政黨和投票行為。在2019年至2023年間，他是跨學科DFG研究小組FOR2757的協調員，該小組研究“在古代與現代之間的弱國狀態背景下的地方自我調節（LoSAM）”，並在2018年至2024年間擔任德國政治科學協會（DVPW）民主研究工作組的發言人。他曾在肯特的坎特伯里基督教會大學、里約熱內盧的IESP-UERJ和阿雷格里港的UFRGS擔任客座研究員。