diff --git a/axelrod/__init__.py b/axelrod/__init__.py
index 7cb2ebda..482df852 100644
--- a/axelrod/__init__.py
+++ b/axelrod/__init__.py
@@ -2,7 +2,7 @@ from __future__ import absolute_import
 
 # The order of imports matters!
 from .actions import Actions, flip_action
-from .random_ import random_choice
+from .random_ import random_choice, seed
 from .plot import Plot
 from .game import DefaultGame, Game
 from .player import init_args, is_basic, obey_axelrod, update_history, Player
diff --git a/axelrod/random_.py b/axelrod/random_.py
index 0c3bc72e..9dc783e5 100644
--- a/axelrod/random_.py
+++ b/axelrod/random_.py
@@ -1,4 +1,5 @@
 import random
+import numpy
 from axelrod import Actions
 
 
@@ -21,3 +22,9 @@ def randrange(a, b):
     c = b - a
     r = c * random.random()
     return a + int(r)
+
+
+def seed(seed):
+    """Sets a seed"""
+    random.seed(seed)
+    numpy.random.seed(seed)
diff --git a/axelrod/strategies/_strategies.py b/axelrod/strategies/_strategies.py
index 004108fc..7362e44e 100644
--- a/axelrod/strategies/_strategies.py
+++ b/axelrod/strategies/_strategies.py
@@ -56,7 +56,7 @@ from .sequence_player import SequencePlayer, ThueMorse, ThueMorseInverse
 from .titfortat import (
     TitForTat, TitFor2Tats, TwoTitsForTat, Bully, SneakyTitForTat,
     SuspiciousTitForTat, AntiTitForTat, HardTitForTat, HardTitFor2Tats,
-    OmegaTFT, Gradual, ContriteTitForTat)
+    OmegaTFT, Gradual, ContriteTitForTat, SlowTitForTwoTats)
 
 
 # Note: Meta* strategies are handled in .__init__.py
@@ -166,6 +166,7 @@ strategies = [
     Ripoff,
     RiskyQLearner,
     Shubik,
+    SlowTitForTwoTats,
     SneakyTitForTat,
     SoftGrudger,
     SoftJoss,
diff --git a/axelrod/strategies/titfortat.py b/axelrod/strategies/titfortat.py
index fef73595..6086ca2a 100644
--- a/axelrod/strategies/titfortat.py
+++ b/axelrod/strategies/titfortat.py
@@ -386,3 +386,36 @@ class ContriteTitForTat(Player):
         Player.reset(self)
         self.contrite = False
         self._recorded_history = []
+
+
+class SlowTitForTwoTats(Player):
+    """
+    A player plays C twice, then if the opponent plays the same move twice, 
+    plays that move 
+    """
+
+    name = 'Slow Tit For Two Tats'
+    classifier = {
+        'memory_depth': 2, 
+        'stochastic': False,
+        'makes_use_of': set(),
+        'inspects_source': False,
+        'manipulates_source': False,
+        'manipulates_state': False
+    }
+
+    def strategy(self, opponent):
+        
+        #Start with two cooperations
+        if len(self.history) < 2:
+            return C
+        
+        #Mimic if opponent plays the same move twice
+        if opponent.history[-2] == opponent.history[-1]:
+            return opponent.history[-1]
+        
+        #Otherwise cooperate
+        return C
+
+        
+
diff --git a/docs/tutorials/advanced/index.rst b/docs/tutorials/advanced/index.rst
index dcefec08..ea868106 100644
--- a/docs/tutorials/advanced/index.rst
+++ b/docs/tutorials/advanced/index.rst
@@ -13,3 +13,4 @@ Contents:
    making_tournaments.rst
    reading_and_writing_interactions.rst
    using_the_cache.rst
+   setting_a_seed.rst
diff --git a/docs/tutorials/advanced/setting_a_seed.rst b/docs/tutorials/advanced/setting_a_seed.rst
new file mode 100644
index 00000000..5459ee92
--- /dev/null
+++ b/docs/tutorials/advanced/setting_a_seed.rst
@@ -0,0 +1,35 @@
+.. _setting_a_seed:
+
+Setting a random seed
+=====================
+
+The library has a variety of strategies whose behaviour is stochastic. To ensure
+reproducible results a random seed should be set. As both Numpy and the standard
+library are used for random number generation, both seeds need to be
+set. To do this we can use the `seed` function::
+
+    >>> import axelrod as axl
+    >>> players = (axl.Random(), axl.MetaMixer())  # Two stochastic strategies
+    >>> axl.seed(0)
+    >>> axl.Match(players, turns=3).play()
+    [('D', 'C'), ('D', 'D'), ('C', 'D')]
+
+We obtain the same results is it is played with the same seed::
+
+    >>> axl.seed(0)
+    >>> axl.Match(players, turns=3).play()
+    [('D', 'C'), ('D', 'D'), ('C', 'D')]
+
+Note that this is equivalent to::
+
+    >>> import numpy
+    >>> import random
+    >>> players = (axl.Random(), axl.MetaMixer())
+    >>> random.seed(0)
+    >>> numpy.random.seed(0)
+    >>> axl.Match(players, turns=3).play()
+    [('D', 'C'), ('D', 'D'), ('C', 'D')]
+    >>> numpy.random.seed(0)
+    >>> random.seed(0)
+    >>> axl.Match(players, turns=3).play()
+    [('D', 'C'), ('D', 'D'), ('C', 'D')]

diff --git a/axelrod/tests/integration/test_matches.py b/axelrod/tests/integration/test_matches.py
index b6241145..d0018132 100644
--- a/axelrod/tests/integration/test_matches.py
+++ b/axelrod/tests/integration/test_matches.py
@@ -11,6 +11,10 @@ C, D = axelrod.Actions.C, axelrod.Actions.D
 deterministic_strategies = [s for s in axelrod.ordinary_strategies
                             if not s().classifier['stochastic']]  # Well behaved strategies
 
+stochastic_strategies = [s for s in axelrod.ordinary_strategies
+                         if s().classifier['stochastic']]
+
+
 class TestMatchOutcomes(unittest.TestCase):
 
     @given(strategies=strategy_lists(strategies=deterministic_strategies,
@@ -23,3 +27,19 @@ class TestMatchOutcomes(unittest.TestCase):
         matches = [axelrod.Match(players, turns) for _ in range(3)]
         self.assertEqual(matches[0].play(), matches[1].play())
         self.assertEqual(matches[1].play(), matches[2].play())
+
+    @given(strategies=strategy_lists(strategies=stochastic_strategies,
+                                     min_size=2, max_size=2),
+           turns=integers(min_value=1, max_value=20),
+           seed=integers(min_value=0, max_value=4294967295))
+    def test_outcome_repeats_stochastic(self, strategies, turns, seed):
+        """a test to check that if a seed is set stochastic strategies give the
+        same result"""
+        results = []
+        for _ in range(3):
+            axelrod.seed(seed)
+            players = [s() for s in strategies]
+            results.append(axelrod.Match(players, turns).play())
+
+        self.assertEqual(results[0], results[1])
+        self.assertEqual(results[1], results[2])
diff --git a/axelrod/tests/integration/test_tournament.py b/axelrod/tests/integration/test_tournament.py
index 7358c073..e90e2384 100644
--- a/axelrod/tests/integration/test_tournament.py
+++ b/axelrod/tests/integration/test_tournament.py
@@ -1,6 +1,7 @@
 import unittest
 import axelrod
 import tempfile
+import filecmp
 
 from axelrod.strategy_transformers import FinalTransformer
 
@@ -60,6 +61,39 @@ class TestTournament(unittest.TestCase):
         actual_outcome = sorted(zip(self.player_names, scores))
         self.assertEqual(actual_outcome, self.expected_outcome)
 
+    def test_repeat_tournament_deterministic(self):
+        """A test to check that tournament gives same results."""
+        deterministic_players = [s() for s in axelrod.ordinary_strategies
+                                 if not s().classifier['stochastic']]
+        files = []
+        for _ in range(2):
+            tournament = axelrod.Tournament(name='test',
+                                            players=deterministic_players,
+                                            game=self.game, turns=2,
+                                            repetitions=2)
+            files.append(tempfile.NamedTemporaryFile())
+            tournament.play(progress_bar=False, filename=files[-1].name,
+                            build_results=False)
+        self.assertTrue(filecmp.cmp(files[0].name, files[1].name))
+
+    def test_repeat_tournament_stochastic(self):
+        """
+        A test to check that tournament gives same results when setting seed.
+        """
+        files = []
+        for _ in range(2):
+            axelrod.seed(0)
+            stochastic_players = [s() for s in axelrod.ordinary_strategies
+                                  if s().classifier['stochastic']]
+            tournament = axelrod.Tournament(name='test',
+                                            players=stochastic_players,
+                                            game=self.game, turns=2,
+                                            repetitions=2)
+            files.append(tempfile.NamedTemporaryFile())
+            tournament.play(progress_bar=False, filename=files[-1].name,
+                            build_results=False)
+        self.assertTrue(filecmp.cmp(files[0].name, files[1].name))
+
 
 class TestNoisyTournament(unittest.TestCase):
     def test_noisy_tournament(self):
diff --git a/axelrod/tests/unit/test_punisher.py b/axelrod/tests/unit/test_punisher.py
index 29451c37..7aabf295 100644
--- a/axelrod/tests/unit/test_punisher.py
+++ b/axelrod/tests/unit/test_punisher.py
@@ -116,3 +116,4 @@ class TestInversePunisher(TestPlayer):
         self.assertEqual(P1.history, [])
         self.assertEqual(P1.grudged, False)
         self.assertEqual(P1.grudge_memory, 0)
+        
\ No newline at end of file
diff --git a/axelrod/tests/unit/test_random_.py b/axelrod/tests/unit/test_random_.py
index 16046617..5ce4a483 100644
--- a/axelrod/tests/unit/test_random_.py
+++ b/axelrod/tests/unit/test_random_.py
@@ -1,9 +1,10 @@
 """Test for the random strategy."""
 
+import numpy
 import random
 import unittest
 
-from axelrod import random_choice, Actions
+from axelrod import random_choice, seed, Actions
 
 C, D = Actions.C, Actions.D
 
@@ -16,3 +17,17 @@ class TestRandom_(unittest.TestCase):
         self.assertEqual(random_choice(), C)
         random.seed(2)
         self.assertEqual(random_choice(), D)
+
+    def test_set_seed(self):
+        """Test that numpy and stdlib random seed is set by axelrod seed"""
+
+        numpy_random_numbers = []
+        stdlib_random_numbers = []
+        for _ in range(2):
+            seed(0)
+            numpy_random_numbers.append(numpy.random.random())
+            stdlib_random_numbers.append(random.random())
+
+        self.assertEqual(numpy_random_numbers[0], numpy_random_numbers[1])
+        self.assertEqual(stdlib_random_numbers[0], stdlib_random_numbers[1])
+
diff --git a/axelrod/tests/unit/test_titfortat.py b/axelrod/tests/unit/test_titfortat.py
index 33c606ae..6d39a52d 100644
--- a/axelrod/tests/unit/test_titfortat.py
+++ b/axelrod/tests/unit/test_titfortat.py
@@ -432,8 +432,35 @@ class TestContriteTitForTat(TestPlayer):
         self.assertEqual(opponent.history, [C, D, D, D])
         self.assertFalse(ctft.contrite)
 
+             
     def test_reset_cleans_all(self):
         p = self.player()
         p.contrite = True
         p.reset()
         self.assertFalse(p.contrite)
+
+class TestSlowTitForTwoTats(TestPlayer):
+
+    name = "Slow Tit For Two Tats"
+    player = axelrod.SlowTitForTwoTats
+    expected_classifier = {
+        'memory_depth': 2,
+        'stochastic': False,
+        'makes_use_of': set(),
+        'inspects_source': False,
+        'manipulates_source': False,
+        'manipulates_state': False
+    }
+
+    def test_strategy(self):
+        """Starts by cooperating."""
+        self.first_play_test(C)
+
+    def test_effect_of_strategy(self):
+        """If opponent plays the same move twice, repeats last action of opponent history."""
+        self.responses_test([C]*2, [C, C], [C])
+        self.responses_test([C]*3, [C, D, C], [C])
+        self.responses_test([C]*3, [C, D, D], [D])
+
+       
+  
\ No newline at end of file

Add tests for reproducibility of stochastic results
I'd like to add a property based test similar to https://github.com/Nikoleta-v3/Axelrod/blob/635/axelrod/tests/integration/test_matches.py but that checks that when setting a seed we get the same results for stochastic strategies (those tests there only check for 'well behaved deterministic' strategies. I have a hunch that this isn't actually true as we're not setting numpy's seed...

If that's the case and both seeds need to be set, we should document how to get reproducible results and either:

1. Indicate that you should set both seeds (numpy and stdlib);
2. Write a little helper function that does this (and just document it: `axelrod.seed()` or something like that...
axelrod/tests/integration/test_matches.py::TestMatchOutcomes::test_outcome_repeats axelrod/tests/integration/test_matches.py::TestMatchOutcomes::test_outcome_repeats_stochastic axelrod/tests/integration/test_tournament.py::TestTournament::test_full_tournament axelrod/tests/integration/test_tournament.py::TestTournament::test_parallel_play axelrod/tests/integration/test_tournament.py::TestTournament::test_repeat_tournament_deterministic axelrod/tests/integration/test_tournament.py::TestTournament::test_repeat_tournament_stochastic axelrod/tests/integration/test_tournament.py::TestTournament::test_serial_play axelrod/tests/integration/test_tournament.py::TestNoisyTournament::test_noisy_tournament axelrod/tests/integration/test_tournament.py::TestProbEndTournament::test_players_do_not_know_match_length axelrod/tests/unit/test_punisher.py::TestPlayer::test_clone axelrod/tests/unit/test_punisher.py::TestPlayer::test_initialisation axelrod/tests/unit/test_punisher.py::TestPlayer::test_match_attributes axelrod/tests/unit/test_punisher.py::TestPlayer::test_repr axelrod/tests/unit/test_punisher.py::TestPlayer::test_reset axelrod/tests/unit/test_punisher.py::TestPunisher::test_clone axelrod/tests/unit/test_punisher.py::TestPunisher::test_init axelrod/tests/unit/test_punisher.py::TestPunisher::test_initialisation axelrod/tests/unit/test_punisher.py::TestPunisher::test_match_attributes axelrod/tests/unit/test_punisher.py::TestPunisher::test_repr axelrod/tests/unit/test_punisher.py::TestPunisher::test_reset axelrod/tests/unit/test_punisher.py::TestPunisher::test_reset_method axelrod/tests/unit/test_punisher.py::TestPunisher::test_strategy axelrod/tests/unit/test_punisher.py::TestInversePunisher::test_clone axelrod/tests/unit/test_punisher.py::TestInversePunisher::test_init axelrod/tests/unit/test_punisher.py::TestInversePunisher::test_initialisation axelrod/tests/unit/test_punisher.py::TestInversePunisher::test_match_attributes axelrod/tests/unit/test_punisher.py::TestInversePunisher::test_repr axelrod/tests/unit/test_punisher.py::TestInversePunisher::test_reset axelrod/tests/unit/test_punisher.py::TestInversePunisher::test_reset_method axelrod/tests/unit/test_punisher.py::TestInversePunisher::test_strategy axelrod/tests/unit/test_random_.py::TestRandom_::test_return_values axelrod/tests/unit/test_random_.py::TestRandom_::test_set_seed axelrod/tests/unit/test_titfortat.py::TestPlayer::test_clone axelrod/tests/unit/test_titfortat.py::TestPlayer::test_initialisation axelrod/tests/unit/test_titfortat.py::TestPlayer::test_match_attributes axelrod/tests/unit/test_titfortat.py::TestPlayer::test_repr axelrod/tests/unit/test_titfortat.py::TestPlayer::test_reset axelrod/tests/unit/test_titfortat.py::TestTitForTat::test_clone axelrod/tests/unit/test_titfortat.py::TestTitForTat::test_effect_of_strategy axelrod/tests/unit/test_titfortat.py::TestTitForTat::test_initialisation axelrod/tests/unit/test_titfortat.py::TestTitForTat::test_match_attributes axelrod/tests/unit/test_titfortat.py::TestTitForTat::test_repr axelrod/tests/unit/test_titfortat.py::TestTitForTat::test_reset axelrod/tests/unit/test_titfortat.py::TestTitForTat::test_strategy axelrod/tests/unit/test_titfortat.py::TestTitFor2Tats::test_clone axelrod/tests/unit/test_titfortat.py::TestTitFor2Tats::test_effect_of_strategy axelrod/tests/unit/test_titfortat.py::TestTitFor2Tats::test_initialisation axelrod/tests/unit/test_titfortat.py::TestTitFor2Tats::test_match_attributes axelrod/tests/unit/test_titfortat.py::TestTitFor2Tats::test_repr axelrod/tests/unit/test_titfortat.py::TestTitFor2Tats::test_reset axelrod/tests/unit/test_titfortat.py::TestTitFor2Tats::test_strategy axelrod/tests/unit/test_titfortat.py::TestTwoTitsForTat::test_clone axelrod/tests/unit/test_titfortat.py::TestTwoTitsForTat::test_effect_of_strategy axelrod/tests/unit/test_titfortat.py::TestTwoTitsForTat::test_initialisation axelrod/tests/unit/test_titfortat.py::TestTwoTitsForTat::test_match_attributes axelrod/tests/unit/test_titfortat.py::TestTwoTitsForTat::test_repr axelrod/tests/unit/test_titfortat.py::TestTwoTitsForTat::test_reset axelrod/tests/unit/test_titfortat.py::TestTwoTitsForTat::test_strategy axelrod/tests/unit/test_titfortat.py::TestBully::test_affect_of_strategy axelrod/tests/unit/test_titfortat.py::TestBully::test_clone axelrod/tests/unit/test_titfortat.py::TestBully::test_initialisation axelrod/tests/unit/test_titfortat.py::TestBully::test_match_attributes axelrod/tests/unit/test_titfortat.py::TestBully::test_repr axelrod/tests/unit/test_titfortat.py::TestBully::test_reset axelrod/tests/unit/test_titfortat.py::TestBully::test_strategy axelrod/tests/unit/test_titfortat.py::TestSneakyTitForTat::test_clone axelrod/tests/unit/test_titfortat.py::TestSneakyTitForTat::test_effect_of_strategy axelrod/tests/unit/test_titfortat.py::TestSneakyTitForTat::test_initialisation axelrod/tests/unit/test_titfortat.py::TestSneakyTitForTat::test_match_attributes axelrod/tests/unit/test_titfortat.py::TestSneakyTitForTat::test_repr axelrod/tests/unit/test_titfortat.py::TestSneakyTitForTat::test_reset axelrod/tests/unit/test_titfortat.py::TestSneakyTitForTat::test_strategy axelrod/tests/unit/test_titfortat.py::TestSuspiciousTitForTat::test_affect_of_strategy axelrod/tests/unit/test_titfortat.py::TestSuspiciousTitForTat::test_clone axelrod/tests/unit/test_titfortat.py::TestSuspiciousTitForTat::test_initialisation axelrod/tests/unit/test_titfortat.py::TestSuspiciousTitForTat::test_match_attributes axelrod/tests/unit/test_titfortat.py::TestSuspiciousTitForTat::test_repr axelrod/tests/unit/test_titfortat.py::TestSuspiciousTitForTat::test_reset axelrod/tests/unit/test_titfortat.py::TestSuspiciousTitForTat::test_strategy axelrod/tests/unit/test_titfortat.py::TestAntiTitForTat::test_affect_of_strategy axelrod/tests/unit/test_titfortat.py::TestAntiTitForTat::test_clone axelrod/tests/unit/test_titfortat.py::TestAntiTitForTat::test_initialisation axelrod/tests/unit/test_titfortat.py::TestAntiTitForTat::test_match_attributes axelrod/tests/unit/test_titfortat.py::TestAntiTitForTat::test_repr axelrod/tests/unit/test_titfortat.py::TestAntiTitForTat::test_reset axelrod/tests/unit/test_titfortat.py::TestAntiTitForTat::test_strategy axelrod/tests/unit/test_titfortat.py::TestHardTitForTat::test_clone axelrod/tests/unit/test_titfortat.py::TestHardTitForTat::test_effect_of_strategy axelrod/tests/unit/test_titfortat.py::TestHardTitForTat::test_initialisation axelrod/tests/unit/test_titfortat.py::TestHardTitForTat::test_match_attributes axelrod/tests/unit/test_titfortat.py::TestHardTitForTat::test_repr axelrod/tests/unit/test_titfortat.py::TestHardTitForTat::test_reset axelrod/tests/unit/test_titfortat.py::TestHardTitForTat::test_strategy axelrod/tests/unit/test_titfortat.py::TestHardTitFor2Tats::test_clone axelrod/tests/unit/test_titfortat.py::TestHardTitFor2Tats::test_effect_of_strategy axelrod/tests/unit/test_titfortat.py::TestHardTitFor2Tats::test_initialisation axelrod/tests/unit/test_titfortat.py::TestHardTitFor2Tats::test_match_attributes axelrod/tests/unit/test_titfortat.py::TestHardTitFor2Tats::test_repr axelrod/tests/unit/test_titfortat.py::TestHardTitFor2Tats::test_reset axelrod/tests/unit/test_titfortat.py::TestHardTitFor2Tats::test_strategy axelrod/tests/unit/test_titfortat.py::OmegaTFT::test_clone axelrod/tests/unit/test_titfortat.py::OmegaTFT::test_initialisation axelrod/tests/unit/test_titfortat.py::OmegaTFT::test_match_attributes axelrod/tests/unit/test_titfortat.py::OmegaTFT::test_repr axelrod/tests/unit/test_titfortat.py::OmegaTFT::test_reset axelrod/tests/unit/test_titfortat.py::OmegaTFT::test_strategy axelrod/tests/unit/test_titfortat.py::TestOmegaTFTvsSTFT::test_rounds axelrod/tests/unit/test_titfortat.py::TestOmegaTFTvsAlternator::test_rounds axelrod/tests/unit/test_titfortat.py::TestGradual::test_clone axelrod/tests/unit/test_titfortat.py::TestGradual::test_effect_of_strategy axelrod/tests/unit/test_titfortat.py::TestGradual::test_initialisation axelrod/tests/unit/test_titfortat.py::TestGradual::test_match_attributes axelrod/tests/unit/test_titfortat.py::TestGradual::test_output_from_literature axelrod/tests/unit/test_titfortat.py::TestGradual::test_repr axelrod/tests/unit/test_titfortat.py::TestGradual::test_reset axelrod/tests/unit/test_titfortat.py::TestGradual::test_reset_cleans_all axelrod/tests/unit/test_titfortat.py::TestGradual::test_strategy axelrod/tests/unit/test_titfortat.py::TestContriteTitForTat::test_clone axelrod/tests/unit/test_titfortat.py::TestContriteTitForTat::test_initialisation axelrod/tests/unit/test_titfortat.py::TestContriteTitForTat::test_is_tit_for_tat_with_no_noise axelrod/tests/unit/test_titfortat.py::TestContriteTitForTat::test_match_attributes axelrod/tests/unit/test_titfortat.py::TestContriteTitForTat::test_repr axelrod/tests/unit/test_titfortat.py::TestContriteTitForTat::test_reset axelrod/tests/unit/test_titfortat.py::TestContriteTitForTat::test_reset_cleans_all axelrod/tests/unit/test_titfortat.py::TestContriteTitForTat::test_strategy_with_noise axelrod/tests/unit/test_titfortat.py::TestSlowTitForTwoTats::test_clone axelrod/tests/unit/test_titfortat.py::TestSlowTitForTwoTats::test_effect_of_strategy axelrod/tests/unit/test_titfortat.py::TestSlowTitForTwoTats::test_initialisation axelrod/tests/unit/test_titfortat.py::TestSlowTitForTwoTats::test_match_attributes axelrod/tests/unit/test_titfortat.py::TestSlowTitForTwoTats::test_repr axelrod/tests/unit/test_titfortat.py::TestSlowTitForTwoTats::test_reset axelrod/tests/unit/test_titfortat.py::TestSlowTitForTwoTats::test_strategy