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This paper introduces the local area of cultural spreading is studied in the model of the path length in complex networks, and the timeliness and stability of the media with different topologies analyzed. Taking into account of the study and imitative behaviors to the other gamers in the information structure, it carries on the simulation experiment, and gets the conclusion that small-world effects have positive impact on the information communication and gambling result. Even now, this trend is still very explicit.

A Simple Approach to Explain Stability of Cultural Communication and Timeliness of Media