Asian share markets were broadly higher on Monday as the prospect of further policy stimulus in China and Europe whetted risk appetites while sending the euro skidding. * The euro flirted with a two-year trough against the dollar early on Monday and was broadly weaker as investors gave the common currency a wide berth on prospects of more easing from the European Central Bank. * Oil markets were steady in early Asian trading on Monday, with benchmark Brent crude prices remaining above $80 a barrel following a rally late on Friday over China's interest rate cut and ahead of a possible output reduction by producer group OPEC.