This page has information on grant opportunities for economists (with a focus on transition countries, in particular Ukraine) and information about (PHD, MA) scholarships for economists.
The EERC grant competition
www.eerc.ru
The very useful Key to Funding of the CCC (is updated every month!)
http://ccc.kiev.ua/index.html?q=0
The site of the Ministry of Education has announcements of grant opportunities
www.mon.gov.ua
The UN in Ukraine sometimes has calls for research projects
http://www.un.kiev.ua/bc/tenders/index.php
The Poland America Ukraine Cooperation Initiative has funds for supporting, mainly, awareness increasing initiatives
http://www.pauci.org/
The global development network has a research competition
The Soros foundation has several funding opportunities
The EURASIA foundation has an open-door policy for proposals
http://www.eurasia.org/programs/grantcriteria.aspx
The IDRC (International Development Research Center) has regular calls for proposals
http://www.idrc.ca/en/ev-54473-201-1-DO_TOPIC.html
You can also use DGmarket (just use your country of interest as seach term)
the Social Science Research Network regularly announces grant calls (click on 'professional announcements'
http://www.ssrn.com/ern/index.html
you can use this aggregator of EU funding calls
http://www.welcomeurope.com/default.asp?id=1200&page=2
For info on EU calls related to Ukraine
The European Delegation to Ukraine also announces EU related grants
http://www.delukr.ec.europa.eu/home.html
For information on TEMPUS grants
http://ec.europa.eu/education/programmes/tempus/index_en.html
For Info on Erasmus Mundus (mainly mobility grants)
http://ec.europa.eu/education/programmes/mundus/index_en.html
The Central European University Initiative has limited funding opportunities
http://www.ceinet.org/main.php?pageID=81
Calls for projects related to ICT
http://www.infodev.org/section/programs/rfps
Poverty research can be funded by
Research Mobility with France
http://www.egide.asso.fr/jahia/Jahia/site/egide/lang/fr/dnipro
For those interested in going for PHD, I recommend to regularly check the following sites
Inomics (international)
PHD scholarships in the UK
the Social Science Research Network regularly announces PHD scholarships (click on 'professional announcements'
http://www.ssrn.com/ern/index.html
The Visby Program supports exchanges with Sweden
http://www.sweden.se/templates/cs/Article____5001.aspx
Central European University in Hungary and CERGE-EI in Prague offer Scholarships to study for a PHD in economics
www.ceu.hu and http://www.cerge.cuni.cz/default.asp