Question

In misere tic tac toe on a 3x3 board with each player being x the second first player will win.If the first player doesn't will play (2,2) then WLOG the center square second player will play (1,1)or (2,3) then if the second player can has played (4-i,4-j,...) 1,1) the first will play (2,3).And if the second player has played (2,3) the first will play (1,1).Now there are four squares in response to any which the second player can move without losing:(i,j) of 1,2),(1,3),(3,2) and (3,1).If the second player plays (1,2) the first player plays (3,1) and on the first next movethe second player will be forced to must form a line of three and the first player wins.If the second player plays (3,1) the first player plays to (1,2) and on the center square then next movethe second player can play to the center of one must form a line of three and the rows orcolumnsfirst player wins.Then there will be four squares left thatIf the second player plays (1,3) the first player can plays (3,2) and on the next moveto without forming the second player must form a line withtwo x's of three and losingthe first player wins.But whatever this move is it leaveexactly one square left for If the second player to moveto plays (3,2) the first player plays (1,2) and after that move is made every remaining on the next moveby the first second player will result in must form a line withtwo spots filled with x's that of three and the second first player can fill in and winwins.So But this exhausts all cases so the second first player will must win in this game.