Premise:
"It solved, for a brief shining moment, what in game theory is known as the coordination problem."
Hypothesis: The game theory has 42 issues it examines.

it is not possible to tell

Premise:
"The remains of William's solid 11th-century castle house an ex?cellent collection of Euro?pean painting in the Musee des Beaux-Arts."
Hypothesis: The Musee des Beaux-Arts houses a collection of William's European paintings.

yes

Premise:
" Working with grantees, LSC has developed and disseminated replicable models for the effective and efficient use of technology."
Hypothesis: The LSC works alone to develop and disseminate replicable models in regards to technology.
no