A recent article in MacLean's [2] arguing that minimum wages have a disemployment effect and do not benefit poor workers is countered by Michal Rozworski [3]on the Progressive Economics Forum blog.
The same arguments come up when arguing against the Living Wage. This report from the Fraser Institute [4]will include these arguments and maybe more.
Links
[1] https://www.policyalternatives.ca/newsroom/updates/minimum-wage-and-living-wage-arguments-and-against
[2] http://www2.macleans.ca/2013/02/19/want-to-help-the-poor-dont-waste-your-time-with-the-minimum-wage/
[3] http://www.progressive-economics.ca/2014/01/16/guest-blog-michal-rozworski-are-higher-minimum-wages-un-canadian/
[4] http://www.fraserinstitute.org/uploadedFiles/fraser-ca/Content/research-news/research/publications/economic-effects-of-living-wage-laws.pdf
[5] https://www.policyalternatives.ca/projects/labour-matters