I'm having problems understanding a section of this article, p. 1792 which gives two examples of a function satisfying IIA and Pareto Optimality but not "acyclicity." Could someone have a glance at them and tell me- For the first example, what are F(abcd), F(abc), F(abd), F(acd), F(bcd), F(ab), F(ac), F(ad), F(bc), F(bd), F(cd) ? For the second example, where a=(2,1,1) b=(1,1,2) c=(1,2,1) , what are the functions of combinations as I listed for the first example? It's really got me at the moment.
