Economics, 3rd Edition

The Axiom of Comparison 

Given any two bundles of goods, A and B, representing consumption choices, 

a consumer can compare these bundles such that A is preferred to B, B is preferred to A or the consumer 

is indifferent between A and B.

The Axiom of Transitivity 

Given any three bundles of goods, A, B and C, if the consumer prefers A to B 

and prefers B to C then he must prefer A to C. Equally, if the consumer is indifferent between A and B and 

is also indifferent between B and C then they must be indifferent between A and C.