Rank is determined algorithmically based on how well you perform against other players on average on games that you have won. Because it is based on an average, one or two bad games likely won't destroy your rankings. Since it is based on comparative performance, game options are irrelevent because everyone is playing with the same rules. Solo games do not factor into your rank at all, good or bad.
is a rank score that went up as a result of the last game won. An increase in rank score does not always mean an increase in rank position, just that the gap was narrowed.
is a rank score that went down as a result of the last game won. A decrease in rank score does not always mean a decrease in rank position, just that the gap was widened.
is a rank that remained unchanged as a result of the last game won.