Analyzing emerging practices of collaboration in planning and public policy to overcome the challenges complexity, fragmentation and uncertainty, the authors present a new theory of collaborative rationality, to help make sense of the new practices. They enquire in detail into how collaborative rationality works, the theories that inform it, and the potential and pitfalls for democracy in the twenty-first century. Representing the authors’ collective experience based upon over thirty years of research and practice, this is insightful reading for students, educators, scholars, and reflective practitioners in the fields of urban planning, public policy, political science and public administration.

In an era of rapid change, uncertainty, and hyperpartisanship, when wicked problems abound, tools for solving public problems are more essential than ever. The authors lay out a new theory for collaborative practice in planning, public administration, and public policy. Planning with Complexity provides both theoretical underpinnings and extensive case material on collaboration and offers ways of understanding and conducting effective practice. Collaborative rationality means collaboration that is inclusive, informed, grounded in authentic dialogue, and that results in wise and durable outcomes. The scholar-practitioner author team builds on more than 40 years of research, teaching, and practice addressing environmental issues, housing, and transportation. This second edition updates the case studies and adds new examples reflecting the global spread of collaborative practices. It builds on insights that have recently emerged in the literature. More than 75 new references have been incorporated, along with new tables. This book is essential for students, educators, scholars, and reflective practitioners in public policy fields in the 21st century.

Spatial planning is about dealing with our 'everyday' environment. In A Planner's Encounter with Complexity we present various understandings of complexity and how the environment is considered accordingly. One of these considerations is the environment as subject to processes of continuous change, being either progressive or destructive, evolving non-linearly and alternating between stable and dynamic periods. If the environment that is subject to change is adaptive, self-organizing, robust and flexible in relation to this change, a process of evolution and co-evolution can be expected. This understanding of an evolving environment is not mainstream to every planner. However, in A Planner's Encounter with Complexity, we argue that environments confronted with discontinuous, non-linear evolving processes might be more real than the idea that an environment is simply a planner's creation. Above all, we argue that recognizing the 'complexity' of our environment offers an entirely new perspective on our world and our environment, on planning theory and practice, and on the raison d'être of the planners that we are. A Planner's Encounter with Complexity is organized into 17 chapters. It begins with the interplay of planning and complexity from the perspective of contemporary planning theory. It continues by critically assessing planning theory and practice in the light of the interdisciplinary debate regarding complexity thinking. As the book progresses, it positions itself ever closer to the perspective of complexity thinking, looking at the planning discipline 'from the outside in', clarifying the facets of complexity and its importance in planning. Finally, conceptual and theoretical developments towards more applied examples are identified in order to see the interplay of planning and complexity in practice. This book emphasizes the importance of complexity in planning, clarifies many of the concepts and theories, presents examples on planning and complexity, and proposes new ideas and methods for planning.

Complexity, complex systems and complexity theories are becoming increasingly important within a variety disciplines. While these issues are less well known within the discipline of spatial planning, there has been a recent growing awareness and interest. As planners grapple with how to consider the vagaries of the real world when putting together proposals for future development, they question how complexity, complex systems and complexity theories might prove useful with regard to spatial planning and the physical environment. This book provides a readable overview, presenting and relating a range of understandings and characteristics of complexity and complex systems as they are relevant to planning. It recognizes multiple, relational approaches of dynamic complexity which enhance understandings of, and facilitate working with, contingencies of place, time and the various participants' behaviours. In doing so, it should contribute to a better understanding of processes with regard to our physical and social worlds.

This book, which resulted from an intensive discourse between experts from several disciplines – complexity theorists, cognitive scientists, philosophers, urban planners and urban designers, as well as a zoologist and a physiologist – addresses various issues regarding cities. It is a first step in responding to the challenge of generating just such a discourse, based on a dilemma identified in the CTC (Complexity Theories of Cities) domain. The latter has demonstrated that cities exhibit the properties of natural, organic complex systems: they are open, complex and bottom-up, have fractal structures and are often chaotic. CTC have further shown that many of the mathematical formalisms and models developed to study material and organic complex systems also apply to cities. The dilemma in the current state of CTC is that cities differ from natural complex systems in that they are hybrid complex systems composed, on the one hand, of artifacts such as buildings, roads and bridges, and of natural human agents on the other. This raises a plethora of new questions on the difference between the natural and the artificial, the cognitive origin of human action and behavior, and the role of planning and designing cities. The answers to these questions cannot come from a single discipline; they must instead emerge from a discourse between experts from several disciplines engaged in CTC.

This Handbook shows the enormous impetus given to the scientific debate by linking planning as a science of purposeful interventions and complexity as a science of spontaneous change and non-linear development. Emphasising the importance of merging planning and complexity, this comprehensive Handbook also clarifies key concepts and theories, presents examples on planning and complexity and proposes new ideas and methods which emerge from synthesising the discipline of spatial planning with complexity sciences.

In recent years, there has been a new understanding of how cities evolve and function, which reflects the emergent paradigm of complexity. The crux of this view is that cities are created by differentiated actors involved in individual, small-scale projects interacting in a complex way in the urban development process. This 'bottom up' approach to urban modeling not only transforms our understanding of cities, but also improves our capabilities of harnessing the urban development process. For example, we used to think that plans control urban development in an aggregate, holistic way, but what actually happens is that plans only affect differentiated actors in seeking their goals through information. In other words, plans and regulations set restrictions or incentives of individual behaviour in the urban development process through imposing rights, information, and prices, and the analysis of the effects of plans and regulations must take into account the complex urban dynamics at a disaggregate level of the urban development process. Computer simulations provide a rigorous, promising analytic tool that serves as a supplement to the traditional, mathematical approach to depicting complex urban dynamics. Based on the emergent paradigm of complexity, the book provides an innovative set of arguments about how we can gain a better understanding of how cities emerge and function through computer simulations, and how plans affect the evolution of complex urban systems in a way distinct from what we used to think they should. Empirical case studies focus on the development of a compact urban hierarchy in Taiwan, China, and the USA, but derive more generalizable principles and relationships among cities, complexity, and planning.

Urban Complexity and Spatial Strategies develops important new relational and institutionalist approaches to policy analysis and planning, of relevance to all those with an interest in cities and urban areas. Well-illustrated chapters weave together conceptual development, experience and implications for future practice and address the challenge of urban and metropolitan planning and development. Useful for students, social scientists and policy makers, Urban Complexity and Spatial Strategies offers concepts and detailed cases of interest to those involved in policy development and management, as well as providing a foundation of ideas and experiences, an account of the place-focused practices of governance and an approach to the analysis of governance dynamics. For those in the planning field itself, this book re-interprets the role of planning frameworks in linking spatial patterns to social dynamics with twenty-first century relevance.

Written by some of the founders of complexity theory and complexity theories of cities (CTC), this Handbook expertly guides the reader through over forty years of intertwined developments: the emergence of general theories of complex self-organized systems and the consequent emergence of CTC.

The Complexity of Robot Motion Planning makes original contributions both to roboticsand to the analysis of algorithms. In this groundbreaking monograph John Canny resolveslong-standing problems concerning the complexity of motion planning and, for the central problem offinding a collision free path for a jointed robot in the presence of obstacles, obtains exponentialspeedups over existing algorithms by applying high-powered new mathematical techniques.Canny's newalgorithm for this "generalized movers' problem," the most-studied and basic robot motion planningproblem, has a single exponential running time, and is polynomial for any given robot. The algorithmhas an optimal running time exponent and is based on the notion of roadmaps - one-dimensionalsubsets of the robot's configuration space. In deriving the single exponential bound, Cannyintroduces and reveals the power of two tools that have not been previously used in geometricalgorithms: the generalized (multivariable) resultant for a system of polynomials and Whitney'snotion of stratified sets. He has also developed a novel representation of object orientation basedon unnormalized quaternions which reduces the complexity of the algorithms and enhances theirpractical applicability.After dealing with the movers' problem, the book next attacks and derivesseveral lower bounds on extensions of the problem: finding the shortest path among polyhedralobstacles, planning with velocity limits, and compliant motion planning with uncertainty. Itintroduces a clever technique, "path encoding," that allows a proof of NP-hardness for the first twoproblems and then shows that the general form of compliant motion planning, a problem that is thefocus of a great deal of recent work in robotics, is non-deterministic exponential time hard. Cannyproves this result using a highly original construction.John Canny received his doctorate from MITAnd is an assistant professor in the Computer Science Division at the University of California,Berkeley. The Complexity of Robot Motion Planning is the winner of the 1987 ACM DoctoralDissertation Award.