Matching, Dynamics and Games for the Allocation of Resources (Hardcover)

M. Ali Khan

ISBN 10: 9819666600 / ISBN 13: 9789819666607

Published by Springer Nature Switzerland AG, Cham, 2025

About this Item

Hardcover. 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 GaleMasColell economy.The second part contains 7 chapters discussing topics like a generalization of the Pontryagin maximum principle in infinite horizon models, the RobinsonShinkaiLeontief 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 NeumannGale 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 Shapleys 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. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.

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Bibliographic Details

• Title: Matching, Dynamics and Games for the Allocation of Resources (Hardcover)
• Publisher: Springer Nature Switzerland AG, Cham
• Publication Date: 2025
• Language: English
• ISBN 10: 9819666600
• ISBN 13: 9789819666607
• Binding: Hardcover
• Condition: new

About this title

Synopsis

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.

About the Author

Alexander J. Zaslavski is a senior researcher  of The Technion-Israel Institute of Technology. 

Nobusumi Sagara is a professor emeritus of Hosei University (deceased). 

Mohammed Aliuddin Khan is a professor of The Johns Hopkins University.