Self-Fulfillment of Expectation in a Country Fair Model

Inspired by the El Farol bar problem, this paper puts forward a "country fair problem". Agents take different actions in the two problems: they prefer to stay at the minority side in the bar problem, while they prefer to stay at the majority side in this fair problem. These lead to different emergent phenomena under these two models: "self-destroying of expectation" and "self-fulfillment of expectation". We have checked the long-time behaviour of the two models as indicated by the convergence of the mean attendance in different parameter setting. We find action strategy is indeed a crucial factor to determine the consistency of agents' expectations.