讨论了非均衡市场中投资组合套利问题，得出了投资组合套利存在的判断定理。该定理表明，只要市场中存在一个对待的鞅测度，则市场中无套利机会。从该定理出发，还得到了关于市场中套利机会存在性的一个构造结果。这些结论表明，投资组合套利机会的存在性与所在的市场有密切关系。

This article has discussed the problem of an arbitrage about an portfolio in an unequilimarket and got a determinable theorem about existence of an arbitrage about an portfolio. According to this theorem,an arbitrage about portfolio is not existing if there exists a respect martignal measure.A structural result about existence of arbitrage about an portfolio in a market is gotten. All results represent the existence of an arbitrage about an portfolio is related closely to the type of market.

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