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We study an optimal timing decision problem where an agent endowed with a risky investment opportunity trades the benefits of waiting for additional information against a potential loss in first-mover advantage. The players' clocks are de-synchronized in that they learn of the investment opportunity at different times. Previous literature has uncovered an inverted-U shaped relationship between a player's equilibrium expected expenditures and the measure of his competitors. This result no longer holds when the increase in the measure of players leads to a decrease in the degree of clock synchronization in the game. We show that the result reemerges if information arrives only at discrete times, and thus, a player's strategic beliefs are updated between decision times in a measurably meaningful way.

Timing is crucial in situations ranging from product introductions, to currency attacks, to starting a revolution. These settings share the feature that payoffs depend critically on the timing of moves of a few other key players—and these are uncertain. To capture this, we introduce the notion of clock games and experimentally test them. Each player’s clock starts on receiving a signal about a payoff-relevant state variable. Since the timing of the signals is random, clocks are de-synchronized. A player must decide how long, if at all, to delay his move after receiving the signal. We show that (i) equilibrium is always characterized by strategic delay—regardless of whether moves are observable or not; (ii) delay decreases as clocks become more synchronized and increases as information becomes more concentrated; (iii) When moves are observable, players “herd†immediately after any player makes a move. We then show, in a series of experiments, that key predictions of the model are consistent with observed behavior.