The economics literature is replete with examples of monotone comparative statics; that’s, scenarios where optimum decisions or equilibria in a parameterized assortment of models range monotonically with the parameter.
Supermodularity and Complementarity by Donald M. Topkis shows examples of manifestations of complementarity, with a typical specific or implicit theoretical foundation in properties of an excellent-modular function on a lattice. Supermodular capabilities yield a characterization for complementarity and extend the notion of complementarity to a general setting that is a natural mathematical context for learning complementarity and monotone comparative statics.
Concepts and results associated to supermodularity and monotone comparative statics constitute a brand new and essential formal step within the lengthy line of economics literature on complementarity. This book explains complementarity to highly effective ideas and outcomes involving supermodular capabilities on lattices and focuses on analyses and issues related to monotone comparative statics.
Don Topkis, who is thought for his seminal contributions to this area, here presents a self-contained and up-to-date view of this subject, together with many new outcomes, to students fascinated with financial principle and its purposes in addition to to those in related disciplines. The emphasis is on methodology. The book systematically develops a complete, integrated concept pertaining to supermodularity, complementarity, and monotone comparative statics.
This text applies that principle within the analysis of many various financial models formulated as decision issues, noncooperative video games, and cooperative games. It provides many new theoretical tools that should be part of any mathematical programming or sport theory course.
Supermodularity and Complementarity [Hardcover]
Donald M. Topkis
Princeton University Press; First Edition
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