Management can give higher dividends to attract investors, is it safe to always invest in higher dividend paying securities?

no, according to law of payment of dividend. Dividend is paid only when return on capital is less then rate of return prevailing in the market. Do you have idea about how much time Microsoft paid dividend to their investor.   

One need to be skeptical about investing in a company which is paying high dividends. Companies which are earning profit shares it among its investors but they also need to keep funds for business activities and contingencies. There is something fishy if the company is paying high dividends. So, financial statement of the company need to be analyse before jumping on the boat.