diff --git a/llm_judge/show_result.py b/llm_judge/show_result.py
index 92a6cd0..df4a660 100644
--- a/llm_judge/show_result.py
+++ b/llm_judge/show_result.py
@@ -41,7 +41,10 @@ def calculate_win_rate(results: list[dict]):
     num_win_2 = 0
     num_tie = 0
     for result in results:
-        if result["g1_winner"] == "tie" or result["g1_winner"] != result["g2_winner"]:
+        if (
+            "tie" in {result["g1_winner"], result["g2_winner"]}
+            or result["g1_winner"] != result["g2_winner"]
+        ):
             num_tie += 1
         elif result["g1_winner"] == "model_1":
             num_win_1 += 1
diff --git a/tests/test_show_result.py b/tests/test_show_result.py
index c42c794..619322d 100644
--- a/tests/test_show_result.py
+++ b/tests/test_show_result.py
@@ -1,6 +1,6 @@
 import unittest
 
-from llm_judge.show_result import calculate_average_score
+from llm_judge.show_result import calculate_average_score, calculate_win_rate
 
 
 class TestCalculateAverageScore(unittest.TestCase):
@@ -10,3 +10,39 @@ def test_calculate_average_score(self):
 
         results = [{"score": 1}, {"score": 2}, {"score": 3}, {"score": 4}]
         self.assertEqual(calculate_average_score(results), 2.5)
+
+
+class TestCalculateWinRate(unittest.TestCase):
+    def test_calculate_win_rate(self):
+        results = [
+            {"g1_winner": "model_1", "g2_winner": "model_1"},
+        ]
+        self.assertEqual(
+            calculate_win_rate(results),
+            {
+                "model_1": {"win_rate": 1.0, "adjusted_win_rate": 1.0},
+                "model_2": {"win_rate": 0.0, "adjusted_win_rate": 0.0},
+            },
+        )
+
+        results = [
+            {"g1_winner": "model_1", "g2_winner": "model_2"},
+        ]
+        self.assertEqual(
+            calculate_win_rate(results),
+            {
+                "model_1": {"win_rate": 0.0, "adjusted_win_rate": 0.5},
+                "model_2": {"win_rate": 0.0, "adjusted_win_rate": 0.5},
+            },
+        )
+
+        results = [
+            {"g1_winner": "model_1", "g2_winner": "tie"},
+        ]
+        self.assertEqual(
+            calculate_win_rate(results),
+            {
+                "model_1": {"win_rate": 0.0, "adjusted_win_rate": 0.5},
+                "model_2": {"win_rate": 0.0, "adjusted_win_rate": 0.5},
+            },
+        )