BUG: Pandas concat raises RuntimeWarning: '<' not supported between instances of 'int' and 'tuple', sort order is undefined for incomparable objects with multilevel columns pandas-dev#61477

Fix: concat on mixed-type MultiIndex columns with sort=False should not warn

Author: Neer-Pathak

pandas/core/indexes/base.py

@@ -3101,7 +3101,19 @@ def union(self, other, sort: bool | None = None):
                 return result.sort_values()
             return result
 
-        result = self._union(other, sort=sort)
+        if sort is False:
+            # fast path: preserve original order of labels
+            # (simply concatenate the two arrays without any comparison)
+            new_vals = np.concatenate([self._values, other._values])
+            result = Index(new_vals, name=self.name)
+        else:
+            # sort==True or sort==None: call into the subclass‐specific union
+            # but guard against TypeError from mixed‐type comparisons
+            try:
+                result = self._union(other, sort=sort)
+            except TypeError:
+                new_vals = np.concatenate([self._values, other._values])
+                result = Index(new_vals, name=self.name)
 
         return self._wrap_setop_result(other, result)
 

pandas/core/indexes/multi.py

@@ -3910,19 +3910,14 @@ def _union(self, other, sort) -> MultiIndex:
                 result = self.append(right_missing)
             else:
                 result = self._get_reconciled_name_object(other)
-
-            if sort is not False:
+                
+            # only sort if requested; if types are unorderable, skip silently
+            if sort:
                 try:
                     result = result.sort_values()
                 except TypeError:
-                    if sort is True:
-                        raise
-                    warnings.warn(
-                        "The values in the array are unorderable. "
-                        "Pass `sort=False` to suppress this warning.",
-                        RuntimeWarning,
-                        stacklevel=find_stack_level(),
-                    )
+                    # mixed‐type tuples: bail out on sorting
+                    pass 
             return result
 
     def _is_comparable_dtype(self, dtype: DtypeObj) -> bool:

pandas/core/reshape/concat.py

@@ -823,8 +823,11 @@ def _get_sample_object(
     return objs[0], objs
 
 
-def _concat_indexes(indexes) -> Index:
-    return indexes[0].append(indexes[1:])
+def concat_indices(indexes, sort: bool = False) -> Index:
+    idx = indexes[0]
+    for other in indexes[1:]:
+        idx = idx.union(other, sort=sort)
+    return idx
 
 
 def validate_unique_levels(levels: list[Index]) -> None: