Sampling Dynamics of a Symmetric Ultimatum Game
We propose a dynamic three-strategy symmetric model of the Ultimatum Game with players using a sampling procedure. We allow an intermediate strategy, interpreted as a social norm, to evolve in time according to beliefs of players about an average offer. We show that a social norm converges to a self-consistent offer of about 15% in the unique globally asymptotically stable equilibrium of our model.
sampling dynamics ultimatum game social norm