First Player Advantage in Connect Four — Is It Fair?

Does the player who moves first in Connect Four have an unfair advantage? Yes — mathematically, the first player can always win with perfect play. But in human games, the edge is smaller than you might think. Here’s everything you need to know about first-player advantage and how to maximize (or minimize) it.

The Mathematics of First-Mover Advantage

What We Know for Certain

Victor Allis’s 1988 proof established several facts about first-player advantage:

1. Center column first = Guaranteed win — The first player can force a win in 41 moves or fewer if they start in column 4 (center) and play optimally afterward.

2. Non-center first = Draw possible — If the first player opens in any other column, the second player can force a draw with perfect defense.

3. Perfect defense is required — A single mistake by the second player against a center opening converts a drawing position into a losing one.

Why the Center Column Matters

The center column is special because:

• It participates in 21 potential winning lines (more than any other column)
• It blocks all diagonals that cross the board
• Control gives access to both sides of the board equally
• It forces the second player into defensive positions immediately

When the first player claims the center, the second player must react rather than create their own threats. This reactive posture compounds throughout the game.

How Big is the Advantage in Human Games?

The mathematical edge sounds decisive, but humans don’t play perfectly. Here’s what actual data shows:

Human vs. Human Statistics

Key observation: The advantage increases with skill level up to a point. Beginners make so many mistakes that first-player advantage is nearly cancelled out. But it never approaches 100% because even experts make occasional errors.

Computer Analysis of Human Games

Analysis of thousands of recorded games suggests:

• First player wins approximately 57% of games overall
• The advantage is largest in the mid-game (moves 10-25)
• Most first-player losses occur due to failing to exploit center control or missing winning threats

The “Tempo” Advantage

Beyond mathematical perfect play, first player enjoys tempo advantage:

• More total moves if the game lasts an odd number of turns
• Odd-row control — first player naturally places on rows 1, 3, 5 (with optimal vertical play)
• Initiative — first player creates the first threat for the second player to address

Odd vs. Even Row Strategy

One subtle aspect of first-player advantage involves row positioning.

The first player makes moves 1, 3, 5, 7… (odd moves). Because pieces stack from the bottom, the first player naturally controls odd-numbered rows more easily:

• Row 1 (bottom): First player places 1st
• Row 2: Second player places 2nd
• Row 3: First player places 3rd
• And so on…

Many winning Connect Four threats require pieces on specific rows. Expert players track which threats will be theirs to claim based on move parity.

The middle rows (3-5) are most valuable because they connect to the most winning lines. First player controls two of these three rows in typical play.

Strategies for First Player

If you’re going first, maximize your advantage:

1. Always Start in the Center

There’s no debate here. Column 4 is mathematically optimal and practically effective. Starting elsewhere surrenders your winning guarantee and gives the opponent immediate equality.

2. Occupy Odd Rows in the Center Column

After claiming the center, try to place your second and third center column pieces on rows 3 and 5. This maximizes your threat-creation potential.

3. Create Dual Threats Early

Use your tempo advantage to build positions where you threaten two winning lines at once. The second player can only block one threat per turn.

4. Don’t Squander the Advantage

Many first players relax after gaining position, allowing comebacks. Stay aggressive and calculate until the win is secure.

5. Watch for Forcing Moves

Use your move advantage to create sequences where every move forces an opponent response, preventing them from developing their own threats.

Strategies for Second Player

Going second? You’re not helpless:

1. Punish Non-Center Openings

If the first player doesn’t start in the center, take it yourself. This neutralizes most of their advantage and may even swing the game in your favor.

2. Contest the Center Column

Even against a center opening, fight for that column. Playing directly above (or nearby to control access) reduces the first player’s central dominance.

3. Focus on Even Rows

Accept that you’ll naturally control rows 2, 4, and 6. Build your threats accordingly, particularly on row 4 where winning lines are plentiful.

4. Play for Complications

Against a stronger opponent, avoid simplified positions. Complex boards create more opportunities for the first player to err.

5. Don’t Panic

Being second isn’t being lost. You’re within 8% of even odds in most human games. One mistake by your opponent erases their advantage entirely.

Tournament Solutions

Competitive Connect Four addresses first-player advantage in several ways:

1. Alternating Colors (Standard)

The most common solution: players alternate who goes first across multiple games. In a best-of-6 match, each player goes first exactly three times.

Pros: Simple, universally understood
Cons: Requires even number of games; advantage persists within individual games

2. Swiss Tournament Seeding

In Swiss-style tournaments, pairings consider how many times each player has been first, balancing over the event.

3. Pie Rule (Swap Rule)

After the first move, the second player can choose to:

• Continue as the second player, or
• Swap positions (take the first player’s disc as their own)

This forces the first player to make a “fair” opening move — too strong and it gets stolen; too weak and position suffers.

4. Adjusted Scoring

Some tournaments award bonus points for winning as the second player, acknowledging the disadvantage.

5. Variant Boards

Different board sizes change the first-player advantage:

• 6×5 board: Draw with perfect play (no first-player advantage)
• 8×7 board: First-player advantage reduced
• Pop-Out variant: Changes the dynamic significantly

Is Connect Four “Broken”?

The existence of first-player advantage raises a question: Is the game fundamentally unfair?

Arguments for “Yes”:

• One player has a mathematically proven path to victory
• No rule change can eliminate this (on the standard 7×6 board)
• In theory, second player can never win against perfect play

Arguments for “No”:

• Perfect play is impossible for humans
• The advantage is only ~8% in practice — similar to home-field advantage in sports
• Multiple-game matches balance the odds
• Second player can still win majority of games if more skilled

The Verdict

Connect Four joins many games where first-player advantage exists but doesn’t ruin the experience:

• Chess: White wins slightly more often
• Gomoku: First player has overwhelming advantage (banned opening moves help)
• Soccer: Home team has ~60% advantage historically
• Tennis: Server advantage in each game

The game isn’t broken — it has an asymmetry that players must understand and account for.

Historical Context

First-player advantage in Connect Four wasn’t always understood:

• 1974: Game commercially released as Connect Four by Milton Bradley
• 1970s-80s: Most players unaware of mathematical edge; assumed roughly equal
• 1988: Victor Allis proves first player wins with perfect center-column play
• 1988: James D. Allen independently confirms findings
• 1990s-present: Competitive community develops tournament rules to address imbalance

The solved status of Connect Four actually made the game more interesting to serious players, as they could study optimal play and understand the depth of the advantage.

Practical Impact

What does first-player advantage mean for your games?

Casual Play

• Choose to go first if you care about winning
• Starting in the center is important but not universally known
• Most games are decided by mid-game mistakes, not opening advantage
• The 8% edge won’t override a skill gap between players

Competitive Play

• Expect to win slightly more as first player over time
• Study center-column openings and responses
• Track your first/second-player win rates separately
• Use tournament rules when stakes matter

Teaching New Players

• Don’t always take first player against beginners (give them the advantage)
• Teach center-column strategy as the foundation
• Explain the advantage (but don’t overstate its importance for beginners)

Conclusion

First-player advantage in Connect Four is real and mathematically proven. The first player can always win with perfect play from the center column. But in human games, the edge is roughly 6-8% — significant but not overwhelming.

Understanding this advantage helps you play better from either side. As first player, claim the center and press your tempo advantage. As second player, contest the center, fight for even rows, and punish any mistake.

The advantage doesn’t make Connect Four unfair — it makes it more interesting. Every game presents the same question: can you play well enough to exploit (or overcome) the asymmetry? That challenge keeps the game fresh regardless of which color you draw.