diff --git a/src/lib.rs b/src/lib.rs
index bd91328..2ab2a4e 100644
--- a/src/lib.rs
+++ b/src/lib.rs
@@ -1,14 +1,17 @@
-#![feature(never_type, try_trait_v2)]
+#![feature(never_type, try_trait_v2, return_position_impl_trait_in_trait)]
+#![allow(incomplete_features)]
 
 pub mod connect4;
+mod minmax;
 pub mod tic_tac_toe;
 
 mod player;
 
+use self::minmax::GameBoard;
 pub use player::{Player, State};
 
 pub trait Game {
-    type Board;
+    type Board: GameBoard;
 }
 
 pub trait GamePlayer<G: Game>: Default {
diff --git a/src/minmax.rs b/src/minmax.rs
new file mode 100644
index 0000000..c342466
--- /dev/null
+++ b/src/minmax.rs
@@ -0,0 +1,93 @@
+use std::ops::Neg;
+
+use crate::{Game, GamePlayer, Player, State};
+
+pub trait GameBoard {
+    type Move: Copy;
+
+    fn possible_moves(&self) -> impl Iterator<Item = Self::Move>;
+
+    fn result(&self) -> State;
+
+    fn make_move(&mut self, position: Self::Move, player: Player);
+
+    fn undo_move(&mut self, position: Self::Move);
+}
+
+#[derive(Debug, PartialEq, Eq, PartialOrd, Ord)]
+pub struct Score(i8);
+
+impl Score {
+    const LOST: Self = Self(i8::MIN);
+    const TIE: Self = Self(0);
+    const WON: Self = Self(i8::MAX);
+}
+
+impl Neg for Score {
+    type Output = Self;
+
+    fn neg(self) -> Self::Output {
+        Self(-self.0)
+    }
+}
+
+#[derive(Clone)]
+pub struct PerfectPlayer<B: GameBoard> {
+    best_move: Option<B::Move>,
+}
+
+impl<B: GameBoard> Default for PerfectPlayer<B> {
+    fn default() -> Self {
+        Self::new()
+    }
+}
+
+impl<B: GameBoard> PerfectPlayer<B> {
+    pub fn new() -> Self {
+        Self { best_move: None }
+    }
+
+    fn minmax(&mut self, board: &mut B, player: Player, depth: usize) -> Score {
+        if depth < 2 {
+            //print!("{board}{}| playing {player}: ", " ".repeat(depth));
+        }
+        match board.result() {
+            State::Winner(winner) => {
+                if winner == player {
+                    Score::WON
+                } else {
+                    Score::LOST
+                }
+            }
+            State::Draw => Score::TIE,
+            State::InProgress => {
+                let mut max_value = Score::LOST;
+
+                for pos in board.possible_moves() {
+                    board.make_move(pos, player);
+                    let value = -self.minmax(board, player.opponent(), depth + 1);
+
+                    board.undo_move(pos);
+
+                    if value > max_value {
+                        max_value = value;
+                        if depth == 0 {
+                            self.best_move = Some(pos);
+                        }
+                    }
+                }
+
+                max_value
+            }
+        }
+    }
+}
+
+impl<G: Game> GamePlayer<G> for PerfectPlayer<G::Board> {
+    fn next_move(&mut self, board: &mut G::Board, this_player: Player) {
+        self.best_move = None;
+        self.minmax(board, this_player, 0);
+
+        board.make_move(self.best_move.expect("could not make move"), this_player);
+    }
+}
diff --git a/src/tic_tac_toe/board.rs b/src/tic_tac_toe/board.rs
index f4a07ad..166109e 100644
--- a/src/tic_tac_toe/board.rs
+++ b/src/tic_tac_toe/board.rs
@@ -1,6 +1,6 @@
 use std::fmt::{Display, Write};
 
-use crate::{Player, State};
+use crate::{minmax::GameBoard, Player, State};
 
 #[derive(Clone)]
 pub struct Board(u32);
@@ -113,6 +113,34 @@ impl Display for Board {
     }
 }
 
+impl GameBoard for Board {
+    type Move = usize;
+
+    fn possible_moves(&self) -> impl Iterator<Item = Self::Move> {
+        debug_assert!(
+            !self.iter().all(|x| x.is_some()),
+            "the board is full but state is InProgress"
+        );
+
+        self.iter()
+            .enumerate()
+            .filter(|(_, position)| position.is_none())
+            .map(|(pos, _)| pos)
+    }
+
+    fn result(&self) -> State {
+        Board::result(self)
+    }
+
+    fn make_move(&mut self, position: Self::Move, player: Player) {
+        self.set(position, Some(player));
+    }
+
+    fn undo_move(&mut self, position: Self::Move) {
+        self.set(position, None);
+    }
+}
+
 #[cfg(test)]
 mod tests {
     use super::{Board, Player};