Abstract
This article develops an evolutionary model of industry dynamics in order to carry out a richer theoretical analysis of the consequences of a stronger patent system. The first results obtained in our article are rather consistent with the anti-patent arguments and do not favor the case for a stronger patent system: higher social welfare and technical progress are observed in our model in industries with milder patent systems (lower patent height and patent life).
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Notes
See Hall and Ziedonis (2001) for electronics firms.
Running 1,000 simulations is sufficiently robust and secure in our case since \(\sigma ^{2} /\overline{x} \) becomes stable after 500 runs for any variable x in our model.
Social suplus=consumers' surplus+total profits of the firms.
These boxplots show four quartiles of the distributions of our indicators: the statistically significant minimum and the maximum correspond to the extreme end of the whiskers, while Q 1 and Q 3 correspond to the edges of the central box and the median corresponds to the horizontal line inside the box.
The statistical appendix may be obtained from the following address: http://beagle.u-bordeaux4.fr/yildi/files/tvmy1appendix.pdf.
See Yildizoglu (2001) for a possible modelling strategy.
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Murat Yıldızoğlu gratefully acknowledges the support of the CCRRDT Program of the Aquitaine region.
Appendix
Appendix
Initialisation of the main parameters of the model
Exogenous variables
N=50: Number of firms
T=500: Number of periods
PROBIMITATE∈[10, 0.005]: Probability of imitation
PROBMUTATE∈[0, 0.005]: Probability of mutation
SIGMA_IN∈[0.1, 5]: Standard deviation of the innovative draws
DIVIDENDRATE∈[0, 1]: Initial average share of the distributed dividends in the gross profits
PATENTRATE∈[0, 1]: Initial average share of the patent budget in the gross profits
EQUITY RATE∈[0, 1]: Initial average share of the savings in the gross profits
IKRATE∈[0, 1]: Initial average share of the investment in physical capital in the gross profits
IRDRATE∈[0, 1]: Initial average share of the R&D budget in the gross profits
ENTRY PROB∈[0, 0.01]: Probability of new entry
ALPHA∈[0, 1]: Depreciation rate of the technological knowledge of the firm
GAMMA∈[0, 0.02]: Transformation rate of dividends into supplementary demand
NEWPATENTCOST∈[0, 5]: Cost of filing a new patent
RENEWPATENTCOST∈[0, 1]: Cost of renewing an existing patent
PATENTHEIGHT∈[0, 5]: The height of the granted patents. If the patent correspond to the productivity A 0, all productivities in [A 0−PATENTHEIGHT, A 0+PATENTHEIGHT] are protected from the competitors.
PATENTLIFE∈[0, 30]: Legal maximal life of patents
EQUITY∈[10, 50]: Initial equity of the firms
CF∈[0, 2]: Fixed costs of the firms
K∈[10, 50]: Initial average capital stock of the firms
PROD∈[0.2, 1.2]: Initial average productivity of the firms
COST∈[0, 1]: Initial average unit using cost of the capital
DEM∈[300, 1000]: Initial demand coefficient
ETA∈0.9: Elasticity of demand
Endogenous variables
price: Market price
max prod: Maximal productivity of the period
averprod: Average productivity of the period
activeN: Number of active firms in the industry
invCI: Inverse Herfindal index of the period
averprofit: Average profits
nbinnov: Number of innovations in the period
nbpat: Total number of active patents in the period
cumbpat: Cumulated number of the patents in the industry history
max patage: Age of the oldest active patent
nbpatfirms: Number of patenting firms in the period
avpatrate: Average percentage of the patent budget in the gross profits
avirdrate: Average percentage of the R&D budget in the gross profits
avikrate: Average percentage of the capital investment budget in the gross profits
avequitrate: Average percentage of the savings in the gross profits
avdivrate: Average percentage of the distributed dividends in the gross profits
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Vallée, T., YıLdızoğlu, M. Social and technological efficiency of patent systems. J Evol Econ 16, 189–206 (2006). https://doi.org/10.1007/s00191-005-0004-2
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DOI: https://doi.org/10.1007/s00191-005-0004-2