Mathematical Topics on Representations of Ordered Structures and Utility Theory

This academic work provides a comprehensive examination of numerical representations within ordered structures, bringing together foundational theories and cutting-edge research in this specialized mathematical field. The collection serves as both a scholarly tribute to Professor Ghanshyam B. Mehta's influential work and a substantive exploration of how numerical representations function across various disciplines including utility theory, mathematical economics, and decision-making frameworks. Each carefully curated contribution builds upon established mathematical principles while addressing contemporary applications in social choice theory and economic modeling.

What distinguishes this volume is its dual focus on theoretical depth and practical implementation, making it particularly valuable for graduate students and researchers working in mathematical economics and decision sciences. The essays collectively demonstrate how abstract numerical representation concepts translate into real-world applications for economic modeling and social preference systems. Readers will appreciate the cohesive integration of mathematical rigor with interdisciplinary relevance, offering both a tribute to foundational work and a forward-looking perspective on ordered structure applications.