Not a government member; the High Representative is an international civilian overseer of the Dayton peace agreement with authority to dismiss elected and non-elected officials and enact legislation.
Chair of current presidency (Serb)
Current presidency member (Croat)
Current presidency member (Bosniak)

Bosnia and Herzegovina (ⁱ/ˈbɒzniə ənd ˌhɛərtsəɡoʊˈviːnə, -ˌhɜːrt-, -ɡə-/ or /ˌhɜːrtsəˈɡɒvᵻnə/;Serbo-Croat Latin script: Bosna i Hercegovina, Bosnian and Serbian Cyrillic script: Боснa и Херцеговина; pronounced [bôsna i xěrt͡seɡoʋina]), sometimes called Bosnia-Herzegovina or Bosnia & Herzegovina, abbreviated BiH or B&H, and, in short, often known informally as Bosnia, is a country in Southeastern Europe located on the Balkan Peninsula. Sarajevo is the capital and largest city. Bordered by Croatia to the north, west, and south; Serbia to the east; Montenegro to the southeast; and the Adriatic Sea to the south, with a coastline about 20 kilometres (12 miles) long surrounding the city of Neum. In the central and eastern interior of the country the geography is mountainous, in the northwest it is moderately hilly, and the northeast is predominantly flatland. The inland is a geographically larger region and has a moderate continental climate, with hot summers and cold and snowy winters. The southern tip of the country has a Mediterranean climate and plain topography.