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For What It's Worth

Michael Rushton on pricing the arts

Consumer optimism at the gym and the museum

March 3, 2013 by Michael Rushton 4 Comments

Where are all the people who bought memberships?While at the gym this morning I got to thinking about … what I pay to go to the gym. I have a membership, although the option of day passes is available to me. The rational thing for me to do at the start is to figure out how often I intend to go, and calculate which is the better deal, membership or day passes. I know that I am more likely to go more often with a membership because the monetary marginal cost to me (although not the cost in time) will be zero dollars per visit, and I should take that into account.

But are people rational when they make these decisions? Of course, we all think of ourselves as rational, but what is the evidence? In a paper published in the American Economic Review, Stefano DellaVigna and Ulrike Malmendier found that the average gym member was paying much more per visit than the cost of a day pass. Note: it’s not just a few people making a poor financial decision, but the average member is losing money. The reason is optimism over gym attendance – people think they will attend more than than they actually do, because of course they hope they will attend more than they have in the past. Firms exploit our optimism in many different facets of pricing. In another American Economic Review article, Michael Grubb considers the very high interest rates charged by credit cards, high late fees charged on rentals, and steep marginal prices on cellular and texting plans: even when the terms are spelled out to us very clearly in advance, we are convinced we will not use our credit cards as a source of loans, we will return rented movies on time, we will monitor our calls and texting. Except that we don’t.

How does all this inform pricing? When facing the rational, self-knowing consumer,  the membership price reflects the fact that there are diminishing marginal returns to visits – I place less value on each subsequent visit than the one before. Members don’t go to the facility every chance they get, even though they get in free, because the joy soon starts to diminish and our time is short – there are only so many visits we want in a year even when the entry fee is zero. The faster we expect diminishing returns to take effect, the better the “deal” that membership needs to offer. It is no use telling a customer “you should buy a membership if you plan on attending more than twelve times this year” if it is a very rare person who would want to attend twelve times in a year. But if the customer mistakenly thinks she will want to attend at least twelve times in the year, then it is strategic for the organization to advertise this option, and know that the price that can be charged is higher than in a world of perfectly rational buyers.

If museums are like gyms (note Nina Simon made the gym-museum analogy a few years ago) – something people think is a worthy activity that they ought to do more of, and will do more of if they have a membership – then diminishing returns occur faster than people expect they will. Their visits to the museum with a membership will be fewer than they forecast when they bought it, and museums could exploit this by soliciting memberships at a (higher) price they know is in fact not a sound monetary decision by the visitor (putting aside for now that the membership might be valued for other reasons than just the visits themselves).

I have no data comparable to what we have on gym use. How many museum members end up in a year paying more per visit than the cost of a single admission? Is it, like gyms seem to be, the normal outcome? I’d really like to see some numbers on this.

Footnote (as shared by DellaVigna and Malmendier):  “Monday 28 April. […] Gym visits 0, no. of gym visits so far this year 1, cost of gym membership per year £370; cost of single gym visit £123 (v. bad economy).” Helen Fielding, Bridget Jones: The Edge of Reason

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Comments

  1. Frances Richens says

    March 4, 2013 at 7:35 am

    A very interesting read! I’d like to read the stats for cinema memberships – I don’t know if this is the same in the US as in the UK, but you can typically pay a monthly fee for the cinema, comparable to two visits, and go as often as you like. This could be related to theatre, although I’ve never heard of a theatre scheme working like this.

    Reply
  2. Richard Gibson says

    March 5, 2013 at 8:41 am

    IMO at our tiny little Chinese history museum in Butte, Montana, the primary motivation for members joining is not the benefit (free admission, small discount on gift shop items). An adult paying $25 membership would have to visit 5 times in our short season to “earn” the $5 admission, and practically no one does that. I feel that the prime motivator is the desire to support the operation. I’d say that the number of members who spend more on an annual membership than they would in each-time admission fees is nearly 100%.

    I recognize the special circumstances for our museum, but on the whole, I also join things like museums and societies to support, irrespective of the cost-benefit ratio. A fitness club would have a different place in my mind and pocketbook.

    Reply
  3. BobG says

    March 5, 2013 at 6:53 pm

    There are significant differences between a museum membership and a gym membership (I have both). Gym memberships cost (at minimum) several hundred dollars a years. Annual museum memberships probably cost about $100 per year. Usually some part of the $100 membership fee is tax deductible. In addition, a museum is a public good and supporting it is reflective of good citizenship, even if the member doesn’t amortise the cost over the number of visits. Gym memberships, obviously, have none of those benefits, and in addition a gym is a private enterprise, so the fee benefits only the owners. On the whole, a museum membership makes more financial sense than a gym membership.

    In my experience, people join gyms without taking into account how much time will be required to attend the gym. A reasonable expectation would be three times a week for at least 90 minutes each time. Most people have jobs, a commute, heavy schedules, and time-consuming obligations. Whatever their intentions, they find they just don’t have the time it would take to get a benefit from the gym. A museum visit, say one every four or six months (to see the rotation of special exhibitions) simply takes far less time.

    I don’t think that putting the two kinds of membership in the same box is very illuminating.

    Reply
  4. cecilia wong says

    March 6, 2013 at 9:15 am

    The New York Times’ Pulitzer Prize-winning art critic, Holland Cotter has made this same analogy regarding university art museums: http://www.nytimes.com/2009/02/20/arts/design/20yale.html?pagewanted=all&_r=1&

    “Art and science, equally speculative endeavors, meet, clash and cross-fertilize, just as they do in that world within the world that is the university and as they sometimes do in university art museums, institutions that are, at their best, equal parts classroom, laboratory, entertainment center and SPIRITUAL GYM where good ideas are worked out and bad ideas are worked off”.

    The comparison probably does not make going to museums any easier (think heavy workouts!!!) but he also has stated eloquently what museums are for, at least in universities.

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Michael Rushton

Michael Rushton taught in the Arts Administration programs at Indiana University, and lives in Bloomington. An economist by training, he has published widely on such topics as public funding of the … MORE

About For What It’s Worth

What’s the price? Everything has one; admission, subscriptions, memberships, special exhibitions, box seats, refreshments, souvenirs, and on and on – a full menu. What the price is matters. Generally, nonprofit arts organizations in the US receive about half of their revenue as “earned income,” and … [Read More...]

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