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Cutting a cake, dividing up the property in an estate, determining the borders in an international dispute - such problems of fair division are ubiquitous. Fair Division treats all these problems and many more through a rigorous analysis of a variety of procedures for allocating goods (or 'bads' like chores), or deciding who wins on what issues, when there are disputes. Starting with an analysis of the well-known cake-cutting procedure, 'I cut, you choose', the authors show how it has been adapted in a number of fields and then analyze fair-division procedures applicable to situations in which there are more than two parties, or there is more than one good to be divided. In particular they focus on procedures which provide 'envy-free' allocations, in which everybody thinks he or she has received the largest portion and hence does not envy anybody else. They also discuss the fairness of different auction and election procedures.
What exactly is so appealing in formal science, such that its influence can be seen in numerous disciplines nowadays, for practical purposes like better functionality, performance, and so on—as Pythagoras already famously said in antiquity: “Number is the ruler of forms and ideas and the cause of gods and demons”? This contemporary addiction to practical convenience in formal science has turned a blind eye to its other side, which has impoverished both our knowledge of reality and the well-being of our lifeworld. Contrary to conventional wisdom, the other side of this appealing addiction has yet to be comprehensively understood, nor has the fact that its practical convenience is neithe...
This volume represents an advance in our understanding of how to represent and reason about organizational phenomena. Although organizational theorists have long grappled with the complexities of adaptive agents, ecological systems, and non-linear relations among the basic elements of organizational design, they have not, until recently, had the tools to grapple with these complex relationships. Recent advances in logic, symbolic programming, network analysis, and computer technology have made possible a series of tools that can be used to understand the complexities of organizational behavior. New computational techniques make it possible to develop and test more realistic models of organiz...
This volume contains eleven articles which deal with different aspects of dynaoic and differential game theory and its applications in economic modeling and decision making. All but one of these were presented as invited papers in special sessions I organized at the 7th Annual Conference on Economic Dynamics and Control in London, England, during the period June 26-28, 1985. The first article, which comprises Chapter 1, provides a general introduction to the topic of dynamic and differential game theory, discusses various noncooperative equilibrium solution concepts, includ ing Nash, Stackelberg, and Consistent Conjectural Variations equilibria, and a number of issues such as feedback and ti...
This book focuses on negotiation processes and how negotiation modeling frameworks and information technology can support these. A modeling framework for negotiation as a purposeful complex adaptive process is presented and computer-implemented in the first three chapters. Two game-theoretic contributions use non-cooperative games in extensive form and a computer-implemented graph model for conflict resolution, respectively. Two chapters use the negotiators' joint utility distribution to provide problem structure and computer support. A chapter on cognitive support uses restructurable modeling as a framework. One chapter matches information technologies with negotiation tasks. Another develops computer support based on preference programming. Two final chapters develop a stakeholder approach to support system evaluation, and a research framework for them, respectively. Negotiation Processes: Modeling Frameworks and Information Technology will be of interest to researchers and students in the areas of negotiation, group decision/negotiation support systems and management science, as well as to practising negotiators interested in this technology.
Optimal control and differential games continue to attract strong interest from researchers interested in dynamical problems and models in management science. This volume explores the application of these methodologies to new as well as to classical decision problems in management sciences and economics. In Part I, optimal control and dynamical systems approaches are used to analyze problems in areas such as monetary policy, pollution control, relationship marketing, drug control, debt financing, and ethical behavior. In Part II differential games are applied to problems such as oligopolistic competition, common resource management, spillovers in foreign direct investments, marketing channels, incentive strategies, and the computation of Markov perfect Nash equilibria. Optimal Control and Differential Games is an excellent reference for researchers and graduate students covering a wide range of emerging and revisited problems in management science.
Multicriteria analysis is a rapidly growing aspect of operations research and management science, with numerous practical applications in a wide range of fields. This book presents all the recent advances in multicriteria analysis, including multicriteria optimization, goal programming, outranking methods, and disaggregation techniques. The latest developments on robustness analysis, preference elicitation, and decision making when faced with incomplete information, are also discussed, together with applications in business performance evaluation, finance, and marketing. Finally, the interactions of multicriteria analysis with other disciplines are also explored, including among others data mining, artificial intelligence, and evolutionary methods.