The initial problem
Paradoxes
Majority method and limited domain
Intuition can easily suggest errors
Would transitivity be a prohibitive luxury?
Helpful tools for the sensible decision-maker
An important class of choice functions
Prudent choice functions
Often implicit axioms
Coherent choice functions
Rationality and independence
Monotonic choice functions
Sequentially independent rankings
Prudent rankings
Coherent condorcet rankings
Monotonic rankings.