diff --git a/gem/frank-cucumber.gemspec b/gem/frank-cucumber.gemspec
index ec0214d..3772bec 100644
--- a/gem/frank-cucumber.gemspec
+++ b/gem/frank-cucumber.gemspec
@@ -20,15 +20,15 @@ Gem::Specification.new do |s|
   s.executables   = `git ls-files -- bin/*`.split("\n").map{ |f| File.basename(f) }
   s.require_paths = ["lib"]
 
-  s.add_dependency( "cucumber", ["~>1.3.10"] )
-  s.add_dependency( "rspec", ["~>2.14.1"] )
-  s.add_dependency( "sim_launcher", ["~>0.4.6"] )
-  s.add_dependency( "i18n", ["~>0.6.9"] )
+  s.add_dependency( "cucumber", [">=1.3.10"] )
+  s.add_dependency( "rspec", [">=2.14.1"] )
+  s.add_dependency( "sim_launcher", [">=0.4.6"] )
+  s.add_dependency( "i18n", [">=0.6.9"] )
   s.add_dependency( "plist", ["~>3.1.0"] )
-  s.add_dependency( "json", ["1.8.1"] ) # TODO: figure out how to be more permissive as to which JSON gems we allow
+  s.add_dependency( "json", ["~>1.8.1"] ) # TODO: figure out how to be more permissive as to which JSON gems we allow
   s.add_dependency( "dnssd", ["~>2.0"] )
-  s.add_dependency( "thor", ["~>0.18.1"] )
-  s.add_dependency( "xcodeproj", ["~>0.14.1"] )
+  s.add_dependency( "thor", [">=0.18.1"] )
+  s.add_dependency( "xcodeproj", [">=0.14.1"] )
 
   s.add_development_dependency( "rr" )
   s.add_development_dependency( "yard" )