NationsBank Corp.'s decision to build branches in Winn-Dixie supermarkets in Florida sets up a head-to-head battle with rival Barnett Banks Inc., which is planning to install branches in stores belonging to the Publix chain.

Since Publix and Winn-Dixie are far and away the dominant grocery store chains in the Sunshine State, the move means that the war for supermarket customers will be waged between these two giants, with other competitors like First Union Corp. and SunTrust Banks Inc. watching from the sidelines.

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