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.
這本研究書籍獻給大衛·蓋爾教授，慶祝他百歲生日，匯集了數位數學經濟學領域的知名專家針對蓋爾工作的重要新發現。該書分為三個部分，標題為：「經濟與遊戲」、「經濟動態與增長」以及「配對、合約與金融」。這些部分由兩位存活的編輯介紹，試圖探索性地回答「大衛·蓋爾是誰？」這個問題。
第一部分包含9章，涵蓋的主題包括網絡遊戲中的可見性設計、具有尾部可測支付的重複遊戲、通過最小最大定理存在的校準預測、揭示偏好理論、當選項部分有序時獲得許可的問題、在局部緊湊拓撲群上存在Haar測度的替代證明、非線性生產-消費模型的均衡、金融網絡中的系統性風險，以及Gale-Mas-Colell經濟的可轉移效用擴展。
第二部分包含7章，討論的主題包括在無限時間模型中Pontryagin最大原則的概括、Robinson-Shinkai-Leontief最優增長模型、具有不同替代彈性的資本投入連續年份的動態CES生產函數、兩國動態模型、在Walrasian傳統中的靜態與動態均衡、線性規劃中的對偶定理，以及在廣義的冯·诺依曼-蓋爾模型中的高速公路現象。
第三部分由4章組成，探討在具有合約的多對多配對中穩定與弱穩定結果之間的關係、具有連續代理的Gale和Shapley婚姻市場版本、兩個互補群體（例如，工人和公司）之間穩定合約系統的存在，以及最初由彼得·沃利（Peter Walley）為有界隨機變量引入的上方和下方變異數的一般概念。
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.
