Before revision: An investigation is presented of how a comprehensive choice of five most important measures of concordance (namely Spearman's rho, Kendall's tau, Spearman's footrule, Gini's gamma, and Blomqvist's beta  ) relate to non-exchangeability, i.e., asymmetry on copulas.
After revision: An investigation is presented of how a comprehensive choice of five most important measures of concordance (namely Spearman's rho, Kendall's tau, Spearman's footrule, Gini's gamma, and Blomqvist's beta , and their weaker counterpart Spearman's footrule ) relate to non-exchangeability, i.e., asymmetry on copulas.