Matching, Dynamics and Games for the Allocation of Resources : Essays in Celebration of David Gale’s 100th Birthday / edited by M. Ali Khan, Nobusumi Sagara, Alexander J. Zaslavski.

Format:

Book

Author/Creator:

Khan, M. Ali.

Contributor:

Zaslavski, Alexander J.

Series:

Monographs in Mathematical Economics, 2364-8287 ; 7

Language:

English

Subjects (All):

Social sciences--Mathematics.

Social sciences.

Mathematics in Business, Economics and Finance.

Local Subjects:

Mathematics in Business, Economics and Finance.

Physical Description:

1 online resource (763 pages)

Edition:

1st ed. 2025.

Place of Publication:

Singapore : Springer Nature Singapore : Imprint: Springer, 2025.

Summary:

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.

Contents:

On Gale’s Contribution in Revealed Preference Theory

Finding Nonlinear Production - Consumption Equilibrium

Systemic Risk in Financial Systems: Properties of Equilibria

The Coalitional TU Extensions of Gale-Mas-Colell Economy

Simple visibility design in network games

Repeated Games with Tail-Measurable Payoffs

Calibrated Forecasts: The Minimax Proof

Getting Permission when Options are Partially Ordered

Existence of Haar measures: A note on Rudin's fixed-point approach

Infinite-horizon single-objective and multiobjective optimal control problems in the continuous time framework

Optimal Growth in a Miniature Two-Sector Model with and without Discounting: A Synthesis

Production functions with continuum of vintage inputs

Two country model of trade with international borrowing and lending

David Gale: Duality and Turnpikes

Stochastic Dynamical Framework for Risk Managements of SMEs’ Growth: Model, Approach and Quantitative Analysis

Two turnpike results for a generalized von Neumann-Gale model

Stability and Weak Setwise Stability in Many-to-Many Matching with Contracts

A Deferred Acceptance Algorithm for Large Marriage Markets

Gale-Shapley algorithm revisited: semistability

Applying the New Concept of Variances with Uncertainty to Cover the Worst Markets.

Notes:

Description based on publisher supplied metadata and other sources.

ISBN:

981-9666-61-9

9789819666614

OCLC:

1572192434