to misunderstand one another, have different and conflicting intentions

impasse

a total failure to reach agreement or to settle a quarrel

stalemate, impasse

the act of drawing; a person, event etc that attracts a large crowd

tie in competition

a position from which no progress is possible

stalemate

(of chess) a position of the pieces from which no further move is possible; any stage of a dispute at which further action by either side seem to be impossible

deadlock