Economic Theory explained by Football 21 – The Kaldor-Hicks Theorem

It doesn’t matter what the decision is, someone somewhere will be worse off.  It doesn’t matter if it’s a political decision, an economic decision or a referee’s decision, there will be winners and losers.  In theory there could be a decision made that benefits everyone and penalises nobody, called the Pareto Improvement, but that’s hardly like to happen – everyone could be given free entry to football if the clubs were compensated but somewhere along the line someone will have to pay, for instance by increasing the subscription fees to watch games on TV, or a decision to lower the cost of a replica shirt will impact margins somewhere and cause pain to a manufacturer or the work force employed to make it.

I’ve no idea if Nicholas Kaldor and John Hicks were football fans or even if they were thinking about the beautiful game when came up with a theory that determined for every decision that was seen as positive in some people’s eyes, there would be a group of people who would be made worse off in some way (economical or socially) but their criteria to determine whether a decision is as holistically beneficial can be applied to virtually every decision we, or any club makes.

For instance, in the summer we made the decision to reduce our admission prices by £1 for Adults and Concessions.  Everyone benefited right?  The fans had an extra £1 in their pockets which they could potentially spend elsewhere in the club for sure but the club loses out.  We are pretty sure that it isn’t price that impacts our attendances rather than whether Brighton & Hove Albion are at home, and most importantly how we are playing.

If we continue to play as we are then we could probably increase admission back to £11 and £6 and there will be no material impact on the crowd.  Our fans want to see winning football and our pricing strategy does not inhibit attendances.  Last season we averaged 413 at this stage of the season, this season 409.  So we’ve dropped down a division and reduced prices by £1 but no more fans are coming through the gate.  BUT if we look at our attendances since our mid-September turnaround happened and we started playing better, we are actually averaging 440, nearly 10% up on last year.

The obvious loser in the decision to reduce admission charges is the club.  Our costs have either increased or at best stayed the same.  Our playing budget is still £2k per week.   We play 23 home league games in the season, which works out at £3,200 in costs per home game.  If our average attendance falls, as it has so far, despite admission being reduced then we have a hole to fill.  Taking the facts as red and assuming we have 300 paying fans each home game, we are £300 down per game or almost £7k down on the season.  We could try and sell 152 additional programmes per game to make up the deficit or simply suck it up (which we’ve done).

I remember seeing one side a few years ago try to introduce a variable pricing strategy based on league position with four check points in the season.  So they set the pricing at the start of the season, then reviewed after circa 10, 20 and 30 games.  The concept was that the better the team were doing, the lower the admission was.

However, this is economically wrong.  Let me demonstrate:-

If the average admission paid per spectator at the start of the season is £10 and the average attendance is 1,000 then match day ticket revenue is £10,000.

After 10 games the club are having a shocker and fall to the bottom of the league.  The club can’t justify changing admission prices despite average attendances dropping to 900, thus match day ticket revenue is £9,000.

After 20 games they’ve changed their manager and have improved, sitting just outside the playoffs.  The club drops ticket prices by 10%.  Average attendances rise back to 1,000.  Match day ticket revenue is still £9,000 (£9 x 1,000)

After 30 games they are challenging for the title and the club drops pricing down for the final home games to £8 to bring the fans in.  Attendances go up to 1,200 so match day revenue is now £9,600, which is less that they were getting when they were bottom of the league. The total season revenue for 40 games is £376,000.

Of course the more fans attend games, the more they will spend in the ground but even so, the theory above shows that it is flawed.

If instead the club would have reversed their strategy, it would have looked like this:-

Game 1 – £10 admission, 1,000 average attendance = £10,000 match day revenue

Game 11 – £8 admission as they are bottom of the leave, 900 average attendance = £7,200 revenue

Game 21 – £10 admission, 900 average admission = £9,000 match day revenue

Game 31 – £12 admission, 1,200 average admission = £14,400 match day revenue

Total match day revenue is £406,000 or 8% more than the strategy most clubs would employ.

According to Kaldor and Hicks, whilst the economic rationale behind a decision to lower pricing when the team was doing well was sound, it actually makes no economic sense.

The decision by the Premier League and the member clubs to cap ticket prices at £30 for away fans is another example of the Kaldor-Hicks Theorem in practice.  Whilst the decision will benefit the travelling fans, the clubs themselves will see a reduction in revenues unless they raise ticket prices for home fans.  Hopefully, the huge sums of money the clubs now receive from the new TV deal will more than compensate them – in fact they could still afford to reduce pricing comparably for home and away fans, although let’s face it, that’s hardly likely to happen is it?

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3 thoughts on “Economic Theory explained by Football 21 – The Kaldor-Hicks Theorem

  1. Your strategy is correct but I don’t think Kaldor-Hicks is the applicable theorem. I prefer a welfare model that considers the utility that fans derive from attending matches at the ‘pan. This utility reduces as price goes up, but increases the better the team plays. So, crowds will stabilise at a higher price provided the team is playing well, and there will be additional income for the club. This pareto optimal solution can be extended to the long term if the extra gate money is reinvested in the squad, meaning the team plays better and further people come to watch – a virtuous circle! (If only it were so simple in practice…)
    Leo Eyles
    Albion Economics, Lewes.

  2. I’d question if anybody would suggest that a club should actually reduce prices when the team is doing well. Surely, although as you describe it makes more sense from an economic aspect, it’s just also more intuitive to raise them at those times since presumably fans will turn up anyway.

    And as for your last para, the only way clubs will reduce prices voluntarily is when fans stop paying what they’re currently charging. I think in a way it has happened in the form of concessions and family area season tickets and so on.

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