diff --git a/match.go b/match.go
index afeb7f6..5cf07a5 100644
--- a/match.go
+++ b/match.go
@@ -15,7 +15,7 @@ func Match(policy Policy, node ipld.Node) bool {
 	for _, stmt := range policy {
 		ok := matchStatement(stmt, node)
 		if !ok {
-			return ok
+			return false
 		}
 	}
 	return true
@@ -103,7 +103,33 @@ func matchStatement(statement Statement, node ipld.Node) bool {
 			return s.Value().Match(v)
 		}
 	case Kind_All:
+		if s, ok := statement.(QuantifierStatement); ok {
+			_, many, err := selector.Select(s.Selector(), node)
+			if err != nil || many == nil {
+				return false
+			}
+			for _, n := range many {
+				ok := Match(s.Value(), n)
+				if !ok {
+					return false
+				}
+			}
+			return true
+		}
 	case Kind_Any:
+		if s, ok := statement.(QuantifierStatement); ok {
+			_, many, err := selector.Select(s.Selector(), node)
+			if err != nil || many == nil {
+				return false
+			}
+			for _, n := range many {
+				ok := Match(s.Value(), n)
+				if ok {
+					return true
+				}
+			}
+			return false
+		}
 	}
 	panic(fmt.Errorf("unimplemented statement kind: %s", statement.Kind()))
 }
diff --git a/match_test.go b/match_test.go
index 59d9141..10049a9 100644
--- a/match_test.go
+++ b/match_test.go
@@ -6,6 +6,7 @@ import (
 
 	"github.com/gobwas/glob"
 	"github.com/ipfs/go-cid"
+	"github.com/ipld/go-ipld-prime"
 	cidlink "github.com/ipld/go-ipld-prime/linking/cid"
 	"github.com/ipld/go-ipld-prime/node/basicnode"
 	"github.com/storacha-network/go-ucanto/core/policy/literal"
@@ -331,4 +332,77 @@ func TestMatch(t *testing.T) {
 			}(s)
 		}
 	})
+
+	buildValueNode := func(v int64) ipld.Node {
+		np := basicnode.Prototype.Map
+		nb := np.NewBuilder()
+		ma, _ := nb.BeginMap(1)
+		ma.AssembleKey().AssignString("value")
+		ma.AssembleValue().AssignInt(v)
+		ma.Finish()
+		return nb.Build()
+	}
+
+	t.Run("quantification all", func(t *testing.T) {
+		np := basicnode.Prototype.List
+		nb := np.NewBuilder()
+		la, _ := nb.BeginList(5)
+		la.AssembleValue().AssignNode(buildValueNode(5))
+		la.AssembleValue().AssignNode(buildValueNode(10))
+		la.AssembleValue().AssignNode(buildValueNode(20))
+		la.AssembleValue().AssignNode(buildValueNode(50))
+		la.AssembleValue().AssignNode(buildValueNode(100))
+		la.Finish()
+		nd := nb.Build()
+
+		pol := Policy{
+			All(
+				selector.MustParse(".[]"),
+				GreaterThan(selector.MustParse(".value"), literal.Int(2)),
+			),
+		}
+		ok := Match(pol, nd)
+		require.True(t, ok)
+
+		pol = Policy{
+			All(
+				selector.MustParse(".[]"),
+				GreaterThan(selector.MustParse(".value"), literal.Int(20)),
+			),
+		}
+		ok = Match(pol, nd)
+		require.False(t, ok)
+	})
+
+	t.Run("quantification any", func(t *testing.T) {
+		np := basicnode.Prototype.List
+		nb := np.NewBuilder()
+		la, _ := nb.BeginList(5)
+		la.AssembleValue().AssignNode(buildValueNode(5))
+		la.AssembleValue().AssignNode(buildValueNode(10))
+		la.AssembleValue().AssignNode(buildValueNode(20))
+		la.AssembleValue().AssignNode(buildValueNode(50))
+		la.AssembleValue().AssignNode(buildValueNode(100))
+		la.Finish()
+		nd := nb.Build()
+
+		pol := Policy{
+			Any(
+				selector.MustParse(".[]"),
+				GreaterThan(selector.MustParse(".value"), literal.Int(10)),
+				LessThan(selector.MustParse(".value"), literal.Int(50)),
+			),
+		}
+		ok := Match(pol, nd)
+		require.True(t, ok)
+
+		pol = Policy{
+			Any(
+				selector.MustParse(".[]"),
+				GreaterThan(selector.MustParse(".value"), literal.Int(100)),
+			),
+		}
+		ok = Match(pol, nd)
+		require.False(t, ok)
+	})
 }
diff --git a/policy.go b/policy.go
index b03bf5a..49f1f48 100644
--- a/policy.go
+++ b/policy.go
@@ -196,10 +196,10 @@ func (n quantifier) Value() Policy {
 	return n.policy
 }
 
-func All(selector selector.Selector, policy Policy) QuantifierStatement {
+func All(selector selector.Selector, policy ...Statement) QuantifierStatement {
 	return quantifier{Kind_All, selector, policy}
 }
 
-func Any(selector selector.Selector, policy Policy) QuantifierStatement {
+func Any(selector selector.Selector, policy ...Statement) QuantifierStatement {
 	return quantifier{Kind_Any, selector, policy}
 }