It also used to be commonplace to have a team play an exhibition against Minor League affiliates during the regular season, but worries of injuries to players, along with travel issues, have made this very rare. Exhibitions between inter-city teams in different leagues, like Chicago's Crosstown Classic and New York's Subway Series which used to be played solely as exhibitions for bragging rights are now blended into interleague play. The annual MLB All-Star Game, played in July between players from AL teams and players from NL teams, was long considered an exhibition match, but as of 2003 this status was questioned because the league whose team wins the All-Star game has been awarded home field advantage for the upcoming World Series.
What concerns have reduced Minor League exhibition games?
worries of injuries to players, along with travel issues