The liberalization of Tariff Rate Quotas under oligopolistic competition
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The liberalization of Tariff Rate Quotas under oligopolistic competition (alias: “paper TRQs”) Tariff Rate Quotas with endogenous mode of competition : the case of the EU import regimes for bananas (alias: “paper bananas”) Margherita Scoppola Università di Macerata. I Workshop

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The liberalization of Tariff Rate Quotas under oligopolistic competition

(alias: “paper TRQs”)

Tariff Rate Quotas with endogenous mode of competition:

the case of the EU import regimes for bananas

(alias: “paper bananas”)

Margherita Scoppola

Università di Macerata

I Workshop

29-30 gennaio 2009, Roma


Background competition

More than 15% of agricultural products imported by the EUare covered by a TRQ (10% in Japan and US);

The extensive use of TRQs in multilateral and preferential agreements has raised questions;

How to liberalise TRQs?


The key issues in the debate about TRQs liberalisation competition

  • Maintaining TRQs: reduction of the in-quota or out-of-quota tariffs or expansion of the quota: which option is (more) effective?

  • Tariffication of TRQs: what is the tariff equivalent?


Literature competition

Most contributions on agricultural TRQs and on their liberalization assume perfect competition;

Literature on quota-tariff (non) equivalence under oligopolyhas shown that strategic interactions under quotas and tariffs are different (e.g. Harris, 1985; Krishna, 1989);

But most papers assume exogenously the mode of competition: CournotorBertrand


Literature competition

This means that they implicitly assume that a change in the trade policy (i.e. liberalisation) does not modify the mode of competition;

Further, models predictions are dependent on the ex-ante assumption about the mode of competition


Motives and aims of the papers competition

1. To consider the presence of oligopolistic traders in modelling TRQs and their liberalisation;

2.To use an oligopoly model in which the mode of competition is endogenous and depends upon the trade policy;


One basic framework… competition

  • Both papers use a two-stage capacity constrained model in which the mode of competition(MOC) is endogenous and the constraint is flexible;

  • They are both based on Maggi (1996):

    • in the first stage firms choose capacity; in the second compete on price, they can adjust capacity even if at a higher cost (flexible constraint);

    • The outcome of the game (from Bertrand to Cournot) depends upon the effectiveness of the capacity commitment in the first period;


One basic framework… competition

  • Capacity constraint models are the natural framework to analyse quantitative restrictions to trade;

  • TRQs and the model by Maggi (1996):

    • in the first stage firms choose capacity: they choose the amount of licences to import within the quota;

    • in the second compete on price; they can adjust capacity even if at a higher cost : firms can only import out-of-the quota at the out-of-quota tariff;


… two different issues and settings competition

Policy issues

TRQs paper: which liberalisation option is more effective and when? By means of numerical examples

Bananas paper : what is the tariff equivalent? Application of the model to the case of EU TRQ on bananas


Setting competition

  • Market structure:

    • TRQs paper: N symmetric firms

    • Bananas paper: duopoly with a competitive fringe;

  • Allocation of licences:

    • TRQs paper: FCFS, licences-on-demand, auctions, no market for licences

    • Bananas paper : historical criteria with a market for licences;


First paper competition

The liberalization of TRQs under oligopolistic competition


The model competition

Nsymmetric firms importing a differentiated product;

Linear demands and constant marginal trading costs, m;

Q is the import quota and t and T are the in-quota and the out-of-quota tariffs.


Licences to import within the quota competition

There is no initial allocation of licences

Firms face a constant cost to obtain the licence (e.g. rent-seeking in FCFS/licence-on-demand methods; the price in auctions);

No market for licences

The maximum amount of licences available to each importer is


  • First stage competition: firms choose capacity, i.e. the amount of licences. By this way they commit themselves to import a certain quantity in the second period.

  • Second stage: firms compete on price. They can increase imports, but only out-of-quota;

  • The marginal cost of increasing capacity is:

    in the first period

    in the second period;

    with


The outcome of the game may be Bertrand or Cournot depending upon the effectiveness of the capacity commitment….

… which depends upon the gap in the marginal costs of adjusting capacity in the two periods


If this gap depending upon the is low or zero, then the commitment is weak or ineffective and the equilibrium is the outcome of one-shot Bertrandgame with long run costs equal to second period marginal costs

If the cost of adjusting capacities in the second period is very high, then the commitment is strong and the outcome is the one-shot Cournotgame with long run costs equal to first stage marginal costs


Unlike Maggi (1996) depending upon the (and the “bananas paper”) here firms may face the constraint in expanding capacity in the first stage;

Whether or not depends upon demand, costs and the quota

When there are out-of-quota imports the amount of purchased licences is which does not represent the capacity chosen by firms and, thus, does not work as a capacity commitment.


Firms perceive the depending upon the TRQ as a tariff equal to T: the outcome is always Bertrand;

This means that the subgame perfect equilibria in this case implies:


T* depending upon the is the critical value of the second stage marginal costs (out-of-quota tariff) above which the MOC shifts to Cournot and depends upon t , l and parameters


  • The main implication is that in this model the “ depending upon the binding/redundant” instrument under the TRQ may be different from perfect competitive frameworks according to which:

    • If the binding instrument is t;

    • If the binding instrument is T;

  • In this model the binding instrument varies according to the MOC, i.e. whether or not

    and


Unconventional results depending upon the :

  • With no out-of-quota imports if in equilibrium and the binding instrument is T;

  • With out-of-quota imports if the equilibrium is Cournot and the binding instrument is t;


The impact of TRQs liberalization depending upon the

Liberalization options:

  • Increase in Q;

  • Reductionin t or T;

  • Improvements in licences administration resulting in:

    • Reduction in l , i.e. the cost faced by firms to obtain licences;

    • Increase in the number of firms N accessing licences


The impact of TRQs liberalization on the mode of competititon

Increase in Q: does notaffect the value of T* with respect to T and thus does not affect the MOC;

Reductionof t ,T, l and increase of N may affect the MOC


The impact of a reduction of competititont

The reduction of t increases the gap between first and second period costs and reinforces the capacity commitment


The impact of a reduction of competititonl

The reduction of l increases the gap between first and second period costs and reinforces the capacity commitment


The impact of a reduction of competititonT

The reduction of T reduces the gap between first and second period costs and weakens the capacity commitment



If competititonN is high enough, an increase in N makes stronger the capacity commitment and more likely the Cournot outcome;

This is because the market share of firms reduces and this reinforces the capacity commitment

Firms’ market power anyway reduces but less than under Bertrand;


Trade, welfare and competition effects competititon

Reduction of the in quota tariff t:

No trade effects (!!) under Bertrand; trade effect only under Cournot (strong liberalization)

Market power and firms profits always increase


Reduction of the out-of-quota tariff competititonT:

Trade effects (!!) under Bertrand (strong liberalization)

Market power decreases with strong liberalization

Firms profits decrease with strong liberalization


Reduction in firms’ cost competititonl:

No trade effects with weak liberalization

Market power and firms’ profits always increases

Welfare always improves as a consequence of the increase in firms profits


Increase in the number of firms competititonN:

Always positive trade effects

Market power always decreases

Welfare always improves


Conclusions competititon

  • A two stage framework may lead to unusual conclusions about the (in) effectiveness of the various TRQs liberalization options.

  • Unconventional results basically are the consequence of the consideration of:

    • strategic interactions between firms: equilibrium is determined by the marginal costs of the first or the second period depending on the strength of the capacity commitment



Second paper: competition among firms and thus the effectiveness of the capacity commitment.

TRQs with endogenous mode of competition:

the case of the EU import regimes for bananas


The model competition among firms and thus the effectiveness of the capacity commitment.

Two symmetric oligopolistic trading firms importing a differentiated product in one country ;

A large number of less efficient traders behave competitively;


Quota licences are allocated on competition among firms and thus the effectiveness of the capacity commitment. an historical basis: each duopolist holds qio licences, while small operators qso with

Licenses are transferable

Small operators are in equilibrium when the price of the licence is equal to the value of using it (i.e., the product price less the marginal costs).



  • The then their duopolists exert market power in the licence market.

  • They are in equilibrium when their residual marginal revenue, net of other costs, is equal to

  • The marginal cost of increasing capacity is:

    in the first period

    in the second period;


Sub-game perfect equilibria then their

(Maggi, 1996):


What is the tariff equivalent of a TRQ? then their

With a tariff, there is no capacity constraint:

The solution of the game is always Bertrand

Thus, the tariff equivalent varies according to the MOC under the TRQ


Case A: then their Under the TRQ the equilibrium is Bertrand (the capacity commitment is weak/not effective)

Tariffication does not change the MOC;

The tariff which leaves unchanged the imports of the duopolistsis the tariff satisfying:

Thus the tariff equivalent is the out-of-quota tariff T;


The tariff equivalent includes then their t, L and oligopsonistic rents


Case B: then their Under the TRQ the equilibrium is Cournot (the capacity commitment is effective):

Tariffication shifts the MOC from Cournot to Bertrand;

The tariff equivalent is the tariff which satisfies , that is, the critical tariffT* satisfying

This tariff includes t, L, oligopsonistic rents, and part of oligopolistic rents


The value of the tariff equivalent depends upon the MOC: then their

i.e. whether or not with

  • The greater the amount of licences allocated to more efficient operators

  • The lower the in-quota tariff;

  • The higher the out-of-quota tariff

    The higher the probability of a Cournot outcome and the tariff equivalent being T*


The case of EU imports of bananas then their

  • A calibrated version of the model is applied to the EU TRQ for non-ACP countries;

  • This TRQ has been replaced by a tariff in 2006: what is the tariff equivalent?

  • Market structure:

    • Two firms account for more than 50% of non ACP imports;

    • They differentiate their product by means of a well developed brand;

    • A high number of small operators sell the licences to the two large firms




Main findings allocation of licences

For a wide range of parameters the mode of competition under the TRQ was Cournot;

The tariff equivalent is higher than the one estimated by other studies and always higher than the tariff introduced by the EU in 2006;

Oligopolistic rents accounted for the 70% of the market price of bananas


Grazie! allocation of licences


Inverse demand function: allocation of licences

Degree of brand differentiation:


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