An absolutely delightful ride through the mathematics of how to fairy share resources The only real drawback is that the book is ten years old so people really interested in the sub What do you expect from a book on mathematics 1 It should be accessible but. The challenge of dividing an asset fairly from cakes to important properties is of great practical importance in many situations Since the famous Polish school of mathematicians Steinhaus Banach and Knaster introduced and described algorithms for the fair division.
Not trivial2 The concepts should by well motivated and clearly explained CCA consistently introduces difficult proofs of which there are a fair share in the later chapters with a motivational prelude 3 It should open the way to new lines of thoughtBooks meetin. Problem in the 1940s the concept has been widely popularizedThis book gathers into one readable and inclusive source a comprehensive discussion of the state of the art in cake cutting problems for both the novice and the professional It offers a complete treatmen.
G points 2 and 3 are hard enough to come by but point 1 may be the most difficult of all as the constraints apply to nearly complementary setsCCA meets all three criteria although this book arguably belongs on the micro economics shelf not with the math books. T of all cake cutting algorithms under all the considered definitions of fair and presents them in a coherent reader friendly manner Robertson and Webb have brought this elegant problem to life for both the bright high school student and the professional researche.