Search Theory And Applications

The NATO Advanced Research Institute on Search Theory and Appli cations was held at the Hotel Algarve in Praia Da Rocha, Portugal, from March 26 through March 30, 1979, and was sponsored by the NATO Special Programme Panel on Systems Science. There were forty-one participants representing a wide range of backgrounds and interests. The purpose of the institute was to bring together people working in search theory and applications with potential users of search techniques to stimulate the increased application of recent ly developed search technology to civilian problems such as search and rescue, mineral exploration, surveillance, and fishing. Con versely, it was felt that by exposing search analysts to potential applications and new problems, they would be stimulated to develop new techniques for these applications and problems. The exchange of ideas and problems necessary to accomplish these goals was provided in the meeting workshops. There were three workshops, Search and Rescue, Exploration, and Surveillance and Fishing, each consisting of a small group of search analysts and potential users working together to define areas in which search theory and technology can be applied and to outline plans for im plementation. At the end of the conference, each working group submitted a report outlining possible areas of search applications and discussing problems which needed to be solved in order to im plement these applications.

Search has been vital to artificial intelligence from the very beginning as a core technique in problem solving. The authors present a thorough overview of heuristic search with a balance of discussion between theoretical analysis and efficient implementation and application to real-world problems. Current developments in search such as pattern databases and search with efficient use of external memory and parallel processing units on main boards and graphics cards are detailed. Heuristic search as a problem solving tool is demonstrated in applications for puzzle solving, game playing, constraint satisfaction and machine learning. While no previous familiarity with heuristic search is necessary the reader should have a basic knowledge of algorithms, data structures, and calculus. Real-world case studies and chapter ending exercises help to create a full and realized picture of how search fits into the world of artificial intelligence and the one around us. Provides real-world success stories and case studies for heuristic search algorithms Includes many AI developments not yet covered in textbooks such as pattern databases, symbolic search, and parallel processing units

This book is on applications of game theory. The title of this book is not "Game Theory and its Applications" because it does not construct a general theory for considered games. The book contains a lot of examples of applica tion of game theory together with the background of those games considered and a list of unsolved problems. Also we consider only the game where the optimal strategies of the players are found in closed form. This book is an attempt to carryon the approach developed in nice books "Search Games" by Gal and "Geometric Games and their Applications" by Ruckle. The first chapter of this book supplies the required definitions and theorems from game theory. The second chapter deals with discrete search games where both players act simultaneously: the games of protection of a channel from infiltration of a submarine, the submarine versus helicopter game, the matrix search games and others. The third chapter considers the game where the players allocate their contin uous efforts. In these games players face up an alternative either not to come into contest if the cost of efforts seems too high, or come into it. In the last case the player have to decide how much resources they can afford to spend. The allocation models of search, antiballistic protection and marketing are investigated.

On the solution of an optimal search problem with an exponential detection function. Covers one- and two-sided detection problems by furnishing continuous and discret time strategies; examines two-sided search strategies with solutions in hide and seek games in many discrete and continuous bounded

The economics of search is a prominent component of economic theory, and it has a richness and elegance that underpins a host of practical applications. In this book Brian and John McCall present a comprehensive overview of the economic theory of search, from the classical model of job search formulated 40 years ago to the recent developments in equilibrium models of search. The book gives decision-theoretic foundations to seemingly slippery issues in labour market theory, estimation theory and economic dynamics in general, and surveys the entire field of the economics of search, including its history, theory, and econometric applications. Theoretical models of the economics of search are covered as well as estimation methods used in search theory and topics covered include job search, turnover, unemployment, liquidity, house selling, real options and auctions. The mathematical methods used in search theory such as dynamic programming are reviewed as well as structural estimation methods and econometric methods for duration models. The authors also explore the classic sequential search model and its extensions in addition to recent advances in equilibrium search theory.

Two areas have fascinated me for a long time. One is the micro economic theory of consumer behavior, the other one the role of space in economic processes. Usually, the two don't go together very well. In more advanced versions of microeconomic consumer theory its economic actor may face uncertainty, have to allocate resources over time, or have to take into ac count the characteristics of products, but rarely deals with space. He/she inhabits a spaceless point economy. Regional Science, on the other hand, describes and analyzes the spatial structure and development of the econ omy, but either ignores individual decision making altogether or treats it in a rather simplistic way. In this book I try to bring together these two areas of interest of mine. I do this by use of the microeconomic concept of search and placing it in an explicit spatial context. The result, in my opinion, is a theoretical concept with fascinating implications, a broad set of potential implications, and numerous interesting research questions. After reading this book, where I layout the basic idea of spatial search, describe its elements, and discuss some of its implications, I hope the reader will share this opinion. There are still plenty of unanswered research questions in this part of economic theory. Hopefully, this book will stimulate more work along these lines.

This book contains articles on maximal regulatory problems, interpolation spaces, multiplicative perturbations of generators, linear and nonlinear evolution equations, integrodifferential equations, dual semigroups, positive semigroups, applications to control theory, and boundary value problems.

This work is based upon a Special Session on the Theory and Applications of Nonlinear Operators of Accretive and Monotone Type held during the recent meeting of the American Mathematical Society in San Francisco. It examines current developments in non-linear analysis, emphasizing accretive and monotone operator theory. The book presents a major survey/research article on partial functional differential equations with delay and an important survey/research article on approximation solvability.