diff --git a/README.md b/README.md
index f488db0..b15579a 100644
--- a/README.md
+++ b/README.md
@@ -4,8 +4,8 @@ Write a script that plays tic-tac-toe, and see how well it performs against
 other programs!
 
 - [🚀 Write your own agent](agents/README.md)
-- [🖊 Compare how well your agent performs](/elo_tracker/README.md)
-- [🌐 Publish your agent to the internet](/pyserver/README.md)
+- [🖊 Compare how well your agent performs](elo_tracker/README.md)
+- [🌐 Publish your agent to the internet](pyserver/README.md)
 
 ## Get started
 
diff --git a/agents/README.md b/agents/README.md
index 09e3fab..ba78b41 100644
--- a/agents/README.md
+++ b/agents/README.md
@@ -7,7 +7,7 @@ print the incoming game state, and improve it one step at a time.
 
 ## Quick start
 
-1. Copy `example.py`.
+1. Copy [example.py](example.py).
 2. Rename the file and the `ExampleAgent` class.
 3. Update the agent's name, author and version.
 4. Implement `play_tic_tac_toe()`.
@@ -39,7 +39,7 @@ where the number is the square you want to play.
 
 ## Testing your agent
 
-Open [client.py](/client.py) and replace one of the players with your own agent.
+Open [client.py](../client.py) and replace one of the players with your own agent.
 For example:
 
 ```py
@@ -66,5 +66,5 @@ need to understand the rest of the project before you can start experimenting.
 
 Once you're happy with your agent, you can:
 
-- [🖊 Compare your agent against other agents with the ELO tracker](/elo_tracker/README.md)
-- [🌐 Publish your agent so other people can play against it](/pyserver/README.md)
+- [🖊 Compare your agent against other agents with the ELO tracker](../elo_tracker/README.md)
+- [🌐 Publish your agent so other people can play against it](../pyserver/README.md)
diff --git a/elo_tracker/README.md b/elo_tracker/README.md
index 1431dfb..12f8539 100644
--- a/elo_tracker/README.md
+++ b/elo_tracker/README.md
@@ -9,7 +9,7 @@ The tracker only plays against **remote agents**. Remote agents are available
 through a URL, and usually run on the internet.
 
 If your agent only exists as a local Python class,
-[publish it first](/pyserver/README.md).
+[publish it first](../pyserver/README.md).
 
 ## Add players
 
diff --git a/pyserver/README.md b/pyserver/README.md
index 9c7512e..25ba2e6 100644
--- a/pyserver/README.md
+++ b/pyserver/README.md
@@ -33,4 +33,4 @@ The included server is the easiest way to publish a Python agent.
 
 If you want to implement the protocol yourself
 _(for example in another language)_ you can use the specification in
-[the protocol specification](spec.md).
+[the protocol specification](./spec.md).
diff --git a/pyserver/spec.md b/pyserver/spec.md
index e918449..4f7134f 100644
--- a/pyserver/spec.md
+++ b/pyserver/spec.md
@@ -4,8 +4,8 @@ This document describes how a Bot-Man-Toe server or client is supposed to
 behave.
 
 **This document requires familiarity with setting up an HTTP server.** Please
-use [the easy implementation](/pyserver/README.md) if you're building
-[a simple agent](/agents/README.md) in this repository.
+use [the easy implementation](../pyserver/README.md) if you're building
+[a simple agent](../agents/README.md) in this repository.
 
 ## Terminology