The UK state pension only increases by the rate of inflation in the following places:
The UK
European Economic Area (EEA)
What countries are EEA?
Austria, Belgium, Bulgaria, Croatia, Republic of Cyprus, Czech Republic, Denmark, Estonia, Finland, France, Germany, Greece, Hungary, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Poland, Portugal, Romania, Slovakia, Slovenia, Spain, and Sweden.
Gibraltar
Switzerland
Countries with a social security agreement with the UK (but not *Canada or New Zealand).
The UK has agreements for social security contributions and benefit entitlement with Ireland and the following countries that are outside the EU, Iceland, Lichtenstein, Norway, and Switzerland: Barbados. Bermuda. *Canada.