Emerging Applications of Differential Equations and Game Theory


Book Description

Branches of mathematics and advanced mathematical algorithms can help solve daily problems throughout various fields of applied sciences. Domains like economics, mechanical engineering, and multi-person decision making benefit from the inclusion of mathematics to maximize utility and cooperation across disciplines. There is a need for studies seeking to understand the theories and practice of using differential mathematics to increase efficiency and order in the modern world. Emerging Applications of Differential Equations and Game Theory is a collection of innovative research that examines the recent advancements on interdisciplinary areas of applied mathematics. While highlighting topics such as artificial neuron networks, stochastic optimization, and dynamical systems, this publication is ideally designed for engineers, cryptologists, economists, computer scientists, business managers, mathematicians, mechanics, academicians, researchers, and students.




Implementation and Outcomes of Fare-free Transit Systems


Book Description

The purpose of this synthesis was to document the past and current experiences of public transit agencies that have planned, implemented, and operated fare-free transit systems. The report concentrates on public transit agencies that are either direct recipients or sub-recipients of federal transit grants and provide fare-free service to everyone in their service area on every mode they provide. The report will be of interest to transit managers and staffs, small urban and rural areas, university, and resort communities, as well as stakeholders and policy makers at all levels who would be interested in knowing the social benefits and macro impacts of providing affordable mobility through fare-free public transit. A review of the relevant literature was conducted for this effort. Reports provide statistics on changes in levels of ridership associated with fare-free service. White papers or agency reports identified by the topic panel or discovered through interviews with fare-free transit managers were also reviewed. Through topic panel input, Internet searches, listserv communications, and APTA and TRB sources, the first comprehensive listing of public transit agencies that provide fare-free service in the United States was identified. A selected survey of these identified public transit agencies yielded an 82% response rate (32/39). The report offers a look at policy and administrative issues through survey responses. Five case studies, achieved through interviews, represent the three types of communities that were found to be most likely to adopt a fare-free policy: rural and small urban, university dominated, and resort communities.







Potential Impacts of Climate Change on U.S. Transportation


Book Description

The Transportation Research Board (TRB) and the Division on Earth and Life Studies (DELS) have released the pre-publication version of TRB Special Report 290, The Potential Impacts of Climate Change on U.S. Transportation, which explores the consequences of climate change for U.S. transportation infrastructure and operations. The report provides an overview of the scientific consensus on the current and future climate changes of particular relevance to U.S. transportation, including the limits of present scientific understanding as to their precise timing, magnitude, and geographic location; identifies potential impacts on U.S. transportation and adaptation options; and offers recommendations for both research and actions that can be taken to prepare for climate change. The book also summarizes previous work on strategies for reducing transportation-related emissions of carbon dioxide--the primary greenhouse gas--that contribute to climate change. Five commissioned papers used by the committee to help develop the report, a summary of the report, and a National Academies press release associated with the report are available online. DELS, like TRB, is a division of the National Academies, which include the National Academy of Sciences, National Academy of Engineering, Institute of Medicine, and National Research Council.




The Complexity of Cooperation


Book Description

Robert Axelrod is widely known for his groundbreaking work in game theory and complexity theory. He is a leader in applying computer modeling to social science problems. His book The Evolution of Cooperation has been hailed as a seminal contribution and has been translated into eight languages since its initial publication. The Complexity of Cooperation is a sequel to that landmark book. It collects seven essays, originally published in a broad range of journals, and adds an extensive new introduction to the collection, along with new prefaces to each essay and a useful new appendix of additional resources. Written in Axelrod's acclaimed, accessible style, this collection serves as an introductory text on complexity theory and computer modeling in the social sciences and as an overview of the current state of the art in the field. The articles move beyond the basic paradigm of the Prisoner's Dilemma to study a rich set of issues, including how to cope with errors in perception or implementation, how norms emerge, and how new political actors and regions of shared culture can develop. They use the shared methodology of agent-based modeling, a powerful technique that specifies the rules of interaction between individuals and uses computer simulation to discover emergent properties of the social system. The Complexity of Cooperation is essential reading for all social scientists who are interested in issues of cooperation and complexity.










Cooperative Research for Hazardous Materials Transportation


Book Description