Evidence from psychology and marketing suggests that those who make a "precise" first offer in bargaining get a better deal than those who make a "round" first offer. We report on a series of experiments designed to test for and improve our understanding of the "precise first offer" (PFO) effect...

We present a model of boundedly rational play in single-shot 2 × 2 games. Players choose strategies based on the perceived salience of their own payoffs and, if own-payoff salience is uninformative, on the perceived salience of their opponent's payoffs. When own payoffs are salient, the model's...