By sea and on the airwaves, by dollar and yuan, a contest has begun that will shape the next century. China`s rise has now entered a critical new phase, as it seeks to translate its considerable economic heft into a larger role on the world stage, challenging American supremacy. Yet he also shows why China may struggle to unseat the West - its ambitious designs are provoking anxiety, especially in Asia, while America`s global alliances have deep roots. If Washington can adjust to a world in which it is not the sole dominant power, it may be able to retain its ability to set the global agenda.