Non Linear Contracting and Endogenous Buyer Power between Manufacturers and Retailers: Empirical Evidence on Food Retailing in France



retail, wholesale and total margins obtained from this estimation (remind that for private labels
total margins are equal to retail margin by convention and thus on average total margins are lower
than the sum of average retail and wholesale margins). In Model 4, we assume that wholesale prices
are equal to the marginal cost of production. It corresponds to the case of equation (19). Model 5
is the case where the wholesale prices are such that the retailers’ margins are zero. Finally, models
6 and 7 are the case of two part tariffs contracts without resale price maintenance either without
endogenous buyer power (model 6) or with endogenous buyer power (model 7).

Price-Cost Margins (% of retail price pjt)

Mineral Water

Spring Water

Mean

Std.

Mean

Std.

Linear Pricing (Double Marginalization)

Model 1

Retailers

17.04

2.24

36.26

7.14

Manufacturers

23.02

3.77

43.72

6.16

Total

36.23

8.17

58.12

27.43

Two part Tariffs with RPM

Model 2

General wholesale prices (wjt) with restriction (22)

Retailers

33.82

23.44

30.45

35.95

Manufacturers

12.44

25.77

57.14

49.76

Total

44.19

11.13

59.03

27.64

Model 3

No wholesale price discrimination (wb(jt) with restriction (22)

Retailers

28.15

33.74

22.05

26.16

Manufacturers

21.13

33.61

75.13

33.61

Total

45.76

12.04

59.62

28.49

Model 4

Manufacturer marginal cost pricing (w = μ)

66.05

19.27

77.14

40.82

Model 5

Zero retail margin (p = w + c)

25.70

4.96

44.03

15.35

Two-part Tariffs without RPM

Exogenous Retail Buyer Power

Model 6

Retailers

17.04

2.24

36.26

7.14

Manufacturers

19.22

3.96

26.65

4.23

Total______________________________________

33.06

6.77

49.58

18.75

Endogenous Retail Buyer Power

Model 7

Retailers

17.04

2.24

36.26

7.14

Manufacturers

22.66

5.50

54.10

7.32

Total

35.93

8.47

63.31

32.60

Table 4 : Estimation Results of Price-Cost Margins (averages by groups)

After estimating the different price-cost margins for the models considered, one can recover the
total marginal cost
Cjt and then estimate cost equations allowing to implement the non nested tests
across the different models. For such tests, we specify cost equations as follows, for
h = 1,..., 7 :

ɪn cjt = ωb(j) + ωr(j) + wjt^g + In ηtjt

30



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