Steve is a white american whose family has lived in the united states for 200 years. during the olympics, steve cheers for britain in swimming, because, he says, "i’m british! " during soccer, he cheers for sweden, saying, "i have some swedish in me, too! " steve is displaying:

Symbolic ethnicity

Explanation:

Steve  is displaying the symbolic Ethnicity characteristic.

Symbolic ethnicity is prompted by the feeling of tenderness towards the immigrant generation, a love for a tradition without being incorporated in it.

In Symbolic ethnicity people chooses only those values from other ethnicity which they like leaving behind the other important elements.

In this case also Steve cheers for different nations based on his choices and leaving behind the other factors as he influenced so much by other tradition that he call himself of that nation.