We consider a class of timing games which are suggested from a timing problem for putting some kind of farm products on the market. $N$ players, Player $1, 2, \ldots, n$, take possession of the right to put some kind of farm products at any time in $[0, 1]$. The price of them increases with time so long as none of the $n$ players sell them, however, if one of the $n$ players puts his farm products on the market the price falls discontinuously and then increases with time. Such discontinuous falls in the price of farm product arise successively until $n$ players complete to sell. All players have to put their farm product within the unit interval $[0, 1]$. In such a situation, each player wishes to delay action as late as possible, but does not wish to delay so late that his opponents can put earlier. We assume that all players learn neither when nor whether their opponents have put their farm products on the market. Each of the $n$ players has to decide his action time. This model yields us a certain class of $n$-person non-zero sum infinite games.