The Massachusetts Institute of Technology hopes to mobilize the world's brainpower to solve one of its most troubling problems: the Israeli-Palestinian conflict. MIT officials are inviting individuals or teams from any country to participate in its "Just Jerusalem" competition. The contest aims to find a way to make Jerusalem "just, peaceful and sustainable" by 2050 so that Palestinians and Israelis can live side by side in a city both consider their capital. The school will accept entries between March 31 and Dec. 31, The Boston Globe reported. MIT will announce the winners next March. Diane Davis, co-director of the project and associate dean of MIT's School of Architecture and Planning, said inquiries about entering the competition have come from the Palestinian city of Ramallah and from Israel, Ecuador, Greece and the United States.