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Equilibrium theory in infinite dimensional spaces

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  • "Apart from the underlying theme that all the contributions to this volume pertain to models set in an infinite dimensional space, they differ on many counts. Some were written in the early seventies while others are reports of ongoing research done especially with this volume in mind. Some are surveys of material that can, at least at this point in time, be deemed to have attained a satisfactory solution of the problem, while oth ers represent initial forays into an original and novel formulation. Some furnish alternative proofs of known, and by now, classical results, while others can be seen as groping towards and exploring formulations that have not yet reached a definitive form. The subject matter also has a wide leeway, ranging from solution concepts for economies to those for games and also including representation of preferences and discussion of purely mathematical problems, all within the rubric of choice variables belonging to an infinite dimensional space, interpreted as a commodity space or as a strategy space. Thus, this is a collective enterprise in a fairly wide sense of the term and one with the diversity of which we have interfered as little as possible. Our motivation for bringing all of this work under one set of covers was severalfold."
  • "The purpose of this monograph is to study several solution concepts such as the Walrasian Equilibrium, the Pareto opti- mality, the Core, the Nash Equilibrium and the Correlated equilibrium in the context of an infinite dimensional commodity or strategy space. Of course, the study of the above equilibrium notions in an infinite dimensional commodity or strategy space not only requires novel technical arguments and a modification and correction of much of our finite-dimensional intuition about these concepts, but this point also goes the other way; a successful formulation of the outstanding questions has also necessitated the creation of new mathematics. Some of the contributions in this volume also present a flavor of these technical advances that have been made in the last twenty years."

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  • "Electronic books"

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  • "Equilibrium theory in infinite dimensional spaces"@en
  • "Equilibrium theory in infinite dimensional spaces"
  • "Equilibrium Theory in Infinite Dimensional Spaces"

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