Adapting Islamic Law Disputes to Fair Division in Microeconomics: An Axiomatic Analysis of Three Problems.

This study explores the intersection of microeconomic theory and Islamic jurisprudence. We analyze three legal disputes from Islamic history that can be conceived as fair division problems in microeconomics. The solutions proposed by jurists of that time are scrutinized and compared with answers posited by classical division rules. The effected comparisons highlight the similarities and differences between Islamic and conventional economic resolutions. We use the axiomatic approach to define generalizable rules based on the solutions offered by eminent Islamic jurists Abu Hanifa and Abu Yusuf. Our analysis reveals that Abu Hanifa's methodology and the concede-and-divide rule are identical. Moreover, Abu Yusuf's approach mirrors the constrained Ibn Ezra rule. We examine the principles characterizing the concede-and-divide and Ibn Ezra rules and find these doctrines compatible with Islamic tenets. In conclusion, our study connects Islamic law with microeconomic theory through its unique exploration of legal disputes perceived through the lens of fair division problems. Our findings contribute to the scholarly understanding of how established division rules can be adapted to align with Islamic values and how Islamic allocation methods can be illustrated using an axiomatic approach. [ABSTRACT FROM AUTHOR]