For each of the poverty measures ( Head Count, Head Count Ratio, Poverty Gap Ratio, Income Gap Ratio, Sen Index and P α- Class):
a. Show or explain whether or not the measure satisfies each of the five axioms we discussed (Anonymity, Scale Independence, Population Independence, Transfer Principle and Monotonicity). [ Note: a good way to do this might be to come up with small example populations and demonstrate the concept.]
b. For each axiom comment on whether or not this is a desirable axiom for the paticular measure under consideration.