Hamas had respected the previously negotiated ceasefire except when Israel used it as cover to make assassination raids. Hamas argued that these raids were hardly a manifestation of a ceasefire, and so as symbolic protest it would allow the release of rocket fire (usually hitting no targets). But when the issue of continuing the ceasefire came up, Hamas wanted a guarantee that these assassination raids would stop. And it asked for more. With hundreds of thousands of Palestinians facing acute malnutrition, Hamas insists that the borders be opened so that food can arrive unimpeded. And in return for the captured Israeli soldier Gilad Schalit, it asks for the release of 1,000 Palestinians imprisoned in Israel.
