Rise of the Superstar Firms: Taking Oligopoly Seriously in Macroeconomics

Yves here. Macroeconomics may not be the root of all evil, but in US policy, it plays a significant role. This article explains that the reason monopoly and oligopoly haven’t been treated as serious issues until the dominance of Google, Amazon et al were blindingly obvious is that…drumroll…no one had been able to develop a tractable macroeconomic model. Gah.

By Xavier Vives, Professor of Economics and Finance and Academic Director of the Public-Private Sector Research Center at IESE Business School. Originally published at VoxEU

The dominance of Big Tech and other ‘superstar’ firms’ has put market power back on the agenda of politicians, as well as in research. But although oligopoly markets have been introduced in macroeconomic and trade models, this is mostly in the context of a very large ‘continuum’ of sectors such that a firm has market power in its sector but no influence on the wider economy. This column argues that it is high time that oligopoly is integrated fully into the macroeconomics toolbox.

Market power is back on the agenda of politicians, as well as in research. This is due to increasing concentration in markets, increasing margins, a decreasing labour share, and the dominance of ‘superstar’ firms such as the giant technological platforms, or ‘Big Tech’ for short (Autor et al. 2020, De Loecker et al. 2020). A further factor is the increasing influence of Big Tech in society, which raises concerns in authorities. Some evidence of the increasing prevalence of this issue is the recent surge in antitrust cases against Big Tech in Europe, the US, and China.

Despite the fact that oligopoly theory is well established (Vives 1999), macroeconomic analysis traditionally uses the monopolistic competition model where a firm is negligible in its market while retaining some market power. This has been the case because of tractability reasons. Michal Kalecki (1938) was an early proponent of the integration of oligopoly in macroeconomic analysis.

More recently, oligopoly markets have been introduced in macroeconomic and trade models, but mostly in the context of a very large ‘continuum’ of sectors in such a way that a firm has market power in its sector but has no influence within the wider economy (Neary 2003, Atkeson and Burnstein 2008).1 This seems untenable in modern economies. To use an extreme example, the approach would imply that Samsung or Hyundai have no influence on the economy of Korea. The same could be said of Google/Alphabet, Apple, Facebook, Amazon, and Microsoft (or ‘GAFAM’) in the US. For example, if we want to examine the claim made recently by Daron Acemoglou (2020) that “Big Tech’s most pernicious effects on economic growth and consumer welfare may stem less from ‘anticompetitive and exclusionary practices’ than from its role in directing technological change more broadly”, we indeed need a model where those firms are capable of influencing the economy.

The question arises of how to make compatible the evolution of concentration with evidence on the evolution of margins, corporate profits, and labour share. This is not immediately obvious, since the increase in concentration in relevant antitrust markets is moderate (Shapiro 2018). It is worth noting that according to the monopolistic competition model, the explanation for the increase in margins lies in less differentiated products. However, it does not seem plausible that large changes in product differentiation happen in relatively short spans of time.

The introduction of oligopoly in general equilibrium models in the 1970s fell flat in applications because of technical problems. Indeed, Gabszewicz and Vial (1972) introduced the ‘Cournot-Walras equilibrium’ concept to deal with oligopoly in general equilibrium assuming firms maximise profit. However, there is a problem with such an assumption, since then equilibrium depends on the choice of ‘numéraire’ – a very undesirable feature. In fact, there is no simple objective for the firm when firms are not price-takers, since ownership structure matters when firms can influence product and factor prices. Leading models assume a representative household that owns a market portfolio in all the firms, as the classic Dixit and Stiglitz (1977), or the oligopoly models in Atkeson and Burstein (2008), Neary (2003), and Berger et al. (2019). Yet the firms are assumed to maximise their own profits even though no shareholder would actually want this. We see, therefore, that there is a tension between the assumed ownership structure and the profit maximisation assumption in these models.

In a new study (Azar and Vives forthcoming), my co-author and I build a tractable general equilibrium model under the assumption that the firm’s manager maximises a weighted average of shareholders’ utilities in Cournot–Walras equilibrium.2 The weights in a firm’s objective function are given by the influence of each shareholder. This approach bypasses the ‘numéraire problem’ because indirect utilities depend only on relative prices. Further, this approach allows us to integrate the evolving ownership structure of firms, where large funds have stakes in several firms in the same industry as well as in the overall economy. Indeed, as a consequence of the increase in institutional investment, large diversified asset managers hold a high proportion of firms’ shares, particularly in the US. The extent of common ownership patterns due to the increase in institutional investment has raised concerns of increased market power and markups (Azar et al. 2018, Banal Estañol et al. 2020), as well as calls for antitrust action and regulation of common ownership (Elhauge 2016, Posner et al. forthcoming).

In our model, firms are large in the economy and have influence over prices and wages. For example, when making decisions about hiring, a firm with monopsony power realises that increasing employment would result in increased wages which would hurt not only the firm’s own profits but, in the presence of common ownership, also the profits of other firms in its shareholders’ portfolios. The ownership structure contemplated allows investors to diversify along both intra- and inter-industry lines. Our model identifies the key parameters driving the economy: the elasticity of substitution across industries, the elasticity of the labour supply, the market concentration of each industry, and the ownership structure (i.e. the extent of diversification) of investors.

We find that with non-increasing returns to scale in a one-sector economy, increased effective market concentration – arising out of either fewer firms or more diversification (common ownership) and measured by a modified Herfindahl–Hirschman index – depresses the economy by reducing employment, output, real wages, and the labour share. This provides a link between increasing market power and potential secular stagnation – as conjectured by Larry Summers. Further, when firms have different technologies with constant returns to scale, an increase in common ownership leads to a more concentrated market because more efficient firms then gain market share at the expense of less efficient ones. In the extreme, less efficient firms exit the market as common ownership increases. We see therefore that the pattern of increasing market concentration and shift of market share from small, low-markup firms to large, ‘superstar’, high-markup firms described by Autor et al. (2020) may be partially explained by the increase of institutional investment and common ownership, and not only by technological factors.

In a multisector economy, there are more effects to consider in the presence of common ownership. When the manager of a firm in an industry is deciding whether to marginally increase its employment and production, they must consider three effects: (i) the increase reduces the relative price of the firm’s own products, (ii) it boosts real wages, and (iii) it increases the relative price of products in other industries (because overall consumption increases). The first two effects are anti-competitive, making the firm less aggressive, while the third one is pro-competitive. This third effect, which is an inter-sector ‘pecuniary externality’, is internalised in the presence of common ownership involving the firm and firms in other industries. In this case, the markdown of real wages relative to the marginal product of labour increases with the modified Herfindahl–Hirschman index values for the labour market and product markets and decreases with the pecuniary externality (weighted by the extent of competitor profit-internalisation due to common ownership). The result is that common ownership always has an anti-competitive effect when increasing intra-industry diversification, but that it can have a pro-competitive effect when increasing economy-wide diversification. The latter happens when the elasticity of labour supply is high in relation to the elasticity of substitution among product varieties. In this case, the relative impact of profit internalisation on the level of market power in product markets is higher than in the labour market.

Our new model is mostly methodological, but we also put it to work successfully to simulate the decline in the labour share in the US on the basis of the evolution of concentration in product and labour markets, as well as the estimated internalisation of profits of other firms out of the increase in common ownership of public firms. We have extended the model in Azar and Vives (2019a) to include savings and capital, and also approximate the decline in the capital share. We do not go as far as claiming that common ownership is the cause of the evolution of markups and markdowns and of the decline of labour and capital shares in the US economy, but certainly that it is consistent with their evolution and that has the potential to help explain it.

The results obtained have consequences for competition policy pointing to the need to go beyond traditional partial equilibrium analyses of competition policy, where consumer surplus is king. It follows that in the one-sector economy, competition policy fosters employment and increases real wages by reducing market concentration (with non-increasing returns) and/or the level of diversification (common ownership), which act as complementary tools. Lowering market concentration remains a valid approach under non-increasing returns to scale. When there are multiple sectors in the economy, in order to maximise employment, intra-industry diversification should be limited, while economy-wide diversification may be optimal when the elasticity of substitution in product markets is low relative to the elasticity of labour supply. Further benefits of diversification (common ownership) such as internalising technological spillovers and increasing productivity should also be contemplated (López and Vives 2019).

In summary, it is high time that oligopoly is integrated with full force in the toolbox of macroeconomics. The machinery is there and now it should be put to work.

See original post for references

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20 comments

  1. Ignacio

    This is an anti-digestive but interesting article. As I would expect from the IESE, quite politically correct, possibly correct in excess. One can conclude that ‘superstar companies’ in a world of diversified investors compose a kind of a global mafia becoming more and more powerful the more concentrated in a few firms. Such ‘common ownership’ could be something like common lawyers and lobbyists, subcontractors, nets of services that exclude the rest etc. These superstars also become the main beneficiaries of any public program for employment that quite possibly will result counterproductive. I want an Amazon hub, an Amazon hub! but this will end destroying more employment than that Amazon generated.

  2. vlade

    Do they seriously mean “because we have no model, it doesn’t exist?”

    How about then “I do not have a model how politicians and economists work. Therefore they do not exist”

    1. Mikel

      Do they seriously mean “because we have no model, it doesn’t exist?”

      Yes. Anything to not be held accountable.

    2. paul

      There was a prematurely dead artist, who’s name,shamefully, I cannot recall this moment.
      He modelled quite well.

      I do not know if infobase is still active, but that tracked the relentless march to the information dead end.

      Have a go at ‘thunder on the right’ by alan crawford.

      It shows how they prefer to meddle than model.

      Aktion Direkte!

    3. albrt

      Do they seriously mean “because we have no model, it doesn’t exist?”

      I think they mean “because there is no streetlight here, this cannot be the place where I lost my keys.”

  3. Bill Smith

    I thought this was a big wow:

    For example, if we want to examine the claim made recently by Daron Acemoglou (2020) that “Big Tech’s most pernicious effects on economic growth and consumer welfare may stem less from ‘anticompetitive and exclusionary practices’ than from its role in directing technological change more broadly”

    Modifying that will be hard. If I don’t like what the new rules are, I’ll take my ‘business’ – which early on will mostly be an idea — out of the country.

    1. Zamfir

      Is that a realistic threat though? It’s not an accident that the big monopolies are in the US, with only China offering its own serious alternatives. If they were based in smaller, less powerful countries, they could not thrive on the domestic market and they would run into walls of (rather justified) protectionism abroad. The tiktok saga was instructive in that regard – that’s how the world would treat silicon valley, if they didn’t fear diplomatic consequences from the US.

      1. Jeremy Grimm

        What about Samsung or Hyundai in Korea, or Toyota, Krupp, Bayer? Aren’t they as monopolistic in their practices and respective industries as US Big Tech? I am not suggesting they are “monopolies” by the strict economic definition but they do inhabit positions of power in their respective areas of oligopoly.

  4. Matthew G. Saroff

    At some point, I’d like to see a historical analysis on how conservatives and corporations through donations and the like ended up buying out anti-trust departments across the nation.

    From the late 60s, they have been supporting people like the late Robert Bork and Douglas Ginsberg and their theories that say only immediate consumer effect is to be considered.

    For the price of fewer than 100 chairs, they took over academic antitrust law, and used that to take over the judiciary.

    1. cnchal

      historical analysis = For the price of fewer than 100 chairs, they took over academic antitrust law, and used that to take over the judiciary.

    2. Mucho

      If I remember correctly, Matt Stoller mentions in his book about monopolies (Goliath), but don’t remember about the level of detail.

    3. Gordon

      Yes, there’s more than enough of the history to make anyone’s head spin in Matt Stoller’s ‘Goliath: The 100-year war between Monopoly Power and Democracy’.

  5. hemeantwell

    After trying to read this I went off and found, easily, an example of the sort of framing I’ve come to associate with discussions of oligopoly:

    Mutually aware that their actions will produce reactions from rivals, oligopolists have a strong incentive to substitute anti-competitive co-operation for vigorous competition. Such behaviour,
    referred to in what follows as “co-ordinated interaction”, has negative welfare effects. This is
    especially clear in the case of collusion.

    http://www.oecd.org/competition/mergers/1920526.pdf” rel=”nofollow ugc”

    It seems that the author is, at least at one point, looking at another kind of coordination that can occur because major investors own shares in a number of industries and so try to coordinate growth to maintain profits across the different industries. But is that oligopoly, or something on another scale?

  6. Jeremy Grimm

    This post touts a “tractable general equilibrium model under the assumption that the firm’s manager maximises a weighted average of shareholders’ utilities in Cournot–Walras equilibrium” — tractable after dealing with a little ‘numéraire problem’. The new model “identifies the key parameters driving the economy: the elasticity of substitution across industries, the elasticity of the labour supply, the market concentration of each industry, and the ownership structure (i.e. the extent of diversification) of investors.” Modeling a one-sector economy the model discovered that “with non-increasing returns to scale in a one-sector economy, increased effective market concentration – arising out of either fewer firms or more diversification (common ownership) and measured by a modified Herfindahl–Hirschman index” – depresses the economy by reducing employment, output, real wages, and the labour share. And this means increasing market power might be tied to “secular stagnation”. And somehow, an increase in common ownership leads to a more concentrated market because more efficient firms then gain market share at the expense of less efficient ones. The model goes on, but as Lambert would say “efficient” does a lot of work. Even after reading this post a few times I do not understand how common ownership has the potential to help explain “the evolution of markups and markdowns and of the decline of labour and capital shares in the US economy”.

    I thought economic models were supposed to relate in some way to a real economy. This tractable general equilibrium model does not help to explain how Vanderbilt’s Railroad, or Standard Oil, or Carnegie Steel arose and operated in the economy. It does not explain the operations of Walmart. It might explain Amazon if “efficient” means able to finance large losses over a long period sufficient to wipe out competitors — although it does miss some of the competitive advantages of Amazon’s tax avoidance, manipulation of the U.S Postal System, and Amazon’s leverage over Cities and States, and its third-party sellers. I missed where this model explained the impacts of international labor arbitrage on employment and determined whether it were more efficient. I also missed where this model incorporates the impacts of Large Corporations on the laws and legislators of our country.

  7. Gordon

    The introduction of oligopoly in general equilibrium models in the 1970s…

    General equilibrium is just physics envy from the 1870s. It can’t exist so economic models based on it are built without foundations on a swamp. Indeed, their main utility is to sustain the swamp.

    The economy is a ‘Complex System’, that is one containing three or more mutually interacting elements. It should be modelled as such. All else is fake.

  8. Susan the other

    This piece of economics seems to assume that common ownership of a company, as in common shares, is in fact owned by a class of people with common interests for the benefit of society. Instead, common shares are owned by the 10%, by comparatively wealthy people, and institutions with their own political agendas. So it is hardly surprising that we get gobbledygook for results. It does make sense that one type of investor – the one that invests broadly in an industry – does help the economy achieve better balance and does not harm any specific enterprise. And conversely, that specialists, those investing in niche common stock, would have more incentive to make a killing at the expense of its competition and the greater society. But that has been known for a long time. The big problem of shareholder value is front and center here. Lamenting the lack of a “formula for equating evolutionary ‘concentrations’ (monopolies) with evidence of margins, profits and labor costs” is disingenuous. They are asking innocently for facts on how oligopolies influence their own markets to their own advantage. When that is the name of the game. And they use analogies to biological evolution by using words like diversity and specialization. Diversity good = industry wide growth without the ravages of hyper competition. Over-specialization bad because less responsive to the greater good and causes disintegration. The important thing is the health of the greater market. But speaking of a lack of a “numeraire” (is this the same thing as a common denominator?) – well duh. The greater market and the greater society are not even worked into this smokescreen of market analysis. That’s an inaccuracy probability of + or – 95%.

  9. dtmongan

    The last thing we need is a mathematical model. The plain fact of market power, together with its cause(s) and behavior(s) and all of the attendant economic, political and social effects, is not susceptible to simplistic mathematical modeling. More complex models could concievably become relevant, but at least for now the embedded assumptions and arbitrarily established parameters necessitated by the poverty of relevant data render purportedly “authoritative” mathematical models pernicious.

    For the foreseeable future the subject will be best addressed via traditional prose argument clearly identifying the evidentiary limitations on which our still speculative understanding is based. Today more than ever market power is a vital and emergent subject inviting deeper understanding, broader communication and more effective policy and collective response.

  10. MarkT

    Any effort to model the behaviour of human beings mathematically is bound to fail. It’s all arrogance from the start, that we can model ourselves. Other considerations are required imo.

Comments are closed.