diff --git a/gymnax/environments/spaces.py b/gymnax/environments/spaces.py
index 4faffda..487d91f 100755
--- a/gymnax/environments/spaces.py
+++ b/gymnax/environments/spaces.py
@@ -16,18 +16,22 @@ class Space:
     def sample(self, rng: chex.PRNGKey) -> chex.Array:
         raise NotImplementedError
 
-    def contains(self, x: jnp.int_) -> Any:
+    def contains(self, x: jnp.ndarray) -> Any:
         raise NotImplementedError
 
 
 class Discrete(Space):
     """Minimal jittable class for discrete gymnax spaces."""
 
-    def __init__(self, num_categories: int):
+    def __init__(
+        self,
+        num_categories: int,
+        dtype: jnp.dtype = jnp.int_
+    ):
         assert num_categories >= 0
         self.n = num_categories
         self.shape = ()
-        self.dtype = jnp.int_
+        self.dtype = dtype
 
     def sample(self, rng: chex.PRNGKey) -> chex.Array:
         """Sample random action uniformly from set of categorical choices."""
@@ -35,7 +39,7 @@ def sample(self, rng: chex.PRNGKey) -> chex.Array:
             rng, shape=self.shape, minval=0, maxval=self.n
         ).astype(self.dtype)
 
-    def contains(self, x: jnp.int_) -> jnp.ndarray:
+    def contains(self, x: jnp.ndarray) -> jnp.ndarray:
         """Check whether specific object is within space."""
         # type_cond = isinstance(x, self.dtype)
         # shape_cond = (x.shape == self.shape)
@@ -64,7 +68,7 @@ def sample(self, rng: chex.PRNGKey) -> chex.Array:
             rng, shape=self.shape, minval=self.low, maxval=self.high
         ).astype(self.dtype)
 
-    def contains(self, x: jnp.int_) -> jnp.ndarray:
+    def contains(self, x: jnp.ndarray) -> jnp.ndarray:
         """Check whether specific object is within space."""
         # type_cond = isinstance(x, self.dtype)
         # shape_cond = (x.shape == self.shape)
@@ -89,7 +93,7 @@ def sample(self, rng: chex.PRNGKey) -> Any:  # Dict:
             ]
         )
 
-    def contains(self, x: jnp.int_) -> bool:
+    def contains(self, x: jnp.ndarray) -> bool:
         """Check whether dimensions of object are within subspace."""
         # type_cond = isinstance(x, Dict)
         # num_space_cond = len(x) != len(self.spaces)
@@ -112,7 +116,7 @@ def sample(self, rng: chex.PRNGKey) -> Any:  # Tuple[chex.Array]:
         key_split = jax.random.split(rng, self.num_spaces)
         return tuple([s.sample(key_split[i]) for i, s in enumerate(self.spaces)])
 
-    def contains(self, x: jnp.int_) -> bool:
+    def contains(self, x: jnp.ndarray) -> bool:
         """Check whether dimensions of object are within subspace."""
         # type_cond = isinstance(x, tuple)
         # num_space_cond = len(x) != len(self.spaces)