M. Ali Khan - Böcker
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3 produkter
3 produkter
1 578 kr
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The purpose of this monograph is to study several solutionconcepts such as the Walrasian Equilibrium, the Pareto opti-mality, the Core, the Nash Equilibrium and the Correlatedequilibrium in the context of an infinite dimensionalcommodity or strategy space. Of course, the study of theabove equilibrium notions in an infinite dimensionalcommodity or strategy space not only requires noveltechnical arguments and a modification and correction ofmuch of our finite-dimensional intuition about theseconcepts, but this point also goes the other way; asuccessful formulation of the outstanding questions has alsonecessitated the creation of new mathematics. Some of thecontributions in this volume also present a flavor of thesetechnical advances that have been made in the last twentyyears.
1 625 kr
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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.
Matching, Dynamics and Games for the Allocation of Resources
Essays in Celebration of David Gale’s 100th Birthday
Inbunden, Engelska, 2025
1 578 kr
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This research book, dedicated to Professor David Gale on his 100th birthday, compiles significant new findings by renowned experts in mathematical economics related to Gale's work. The book is divided into three parts labelled as: "Economies and Games," "Economic Dynamics and Growth," and "Matching, Contracts, and Finance." These parts are introduced by the two surviving editors in an exploratory attempt to answer the question “Who is David Gale?” The first part contains 9 chapters covering topics such as visibility design in network games, repeated games with tail-measurable payoffs, the existence of calibrated forecasts via the minimax theorem, revealed preference theory, the problem of obtaining permission when options partially ordered, an alternative proof for the existence of Haar measures on locally compact topological groups, equilibria of nonlinear production-consumption models, systemic risk in financial networks, and coalitional transferable utility extensions of the Gale–Mas–Colell economy.The second part contains 7 chapters discussing topics like a generalization of the Pontryagin maximum principle in infinite horizon models, the Robinson–Shinkai–Leontief optimal growth model, dynamic CES production functions with a continuum of vintages of capital inputs across varying substitution elasticities, a two-country dynamic model, static and dynamic equilibrium in the Walrasian tradition, duality theorems in linear programming, and the turnpike phenomenon in the generalized von Neumann–Gale model.The third part comprises 4 chapters exploring the relationship between stable and weakly setwise stable outcomes in many-to-many matching with contracts, a version of Gale and Shapley’s marriage market with a continuum of agents, the existence of stable contract systems between two complementary groups (e.g., workers and firms), and the general notions of upper and lower variances, initially introduced by Peter Walley for bounded random variables.