This is why I'm glad economists run the world.
Steephie, the situation you're talking about can perfectly be explained by game theory. Each country is an "actor" and they have two choices. 1) Run the printing presses and print money or 2) Act responsibly and control inflation. The first choice will devalue your currency and make your exports more competitive internationally. The second will keep your currency at the market rate. The best situation for the world is that nobody devalues their currency. However, individually, each country is better off devaluing their currency given the other countries maintain theirs. This leads to a situation where everyone starts devaluing their currencies, as is starting to happen in Japan now with the yen and other developed countries. Those whose currencies are not devaluing, such as Australia, Canada, and the U.S. (exchange rate with the Euro and Pound has improved dramatically in the past year) will have their exports suffer as a result.
There are additionally other dangers to inflation. Namely, no one will lend you money and you'll have no hard currency to conduct foreign exchange in. This can been seen in the examples of Zimbabwe, Argentina, Thailand, Vietnam, etc, etc.