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The Knowledge Spillover Theory of Entrepreneurship in an Endogenous Growth Model Zoltan Acs George Mason University Imperial College Mark Sanders Utrecht School of Economics [email protected] 9-10 May 2013 Charlottevill e

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Page 1: The Knowledge Spillover Theory of Entrepreneurship in an Endogenous Growth Model Zoltan Acs George Mason University Imperial College Mark Sanders Utrecht

The Knowledge Spillover Theory of Entrepreneurship in an

Endogenous Growth Model

Zoltan AcsGeorge Mason University

Imperial College

Mark SandersUtrecht School of Economics

[email protected]

9-10 May 2013Charlotteville

Page 2: The Knowledge Spillover Theory of Entrepreneurship in an Endogenous Growth Model Zoltan Acs George Mason University Imperial College Mark Sanders Utrecht

Motivation“economic leadership (entrepreneurship) in particular must hence be distinguished from “invention.” As long as they are not carried into practice, inventions are economically irrelevant…

…It is, therefore, not advisable, and it may be misleading, to stress the element of invention as much as many writers do.” Schumpeter (1911) p. 88

Page 3: The Knowledge Spillover Theory of Entrepreneurship in an Endogenous Growth Model Zoltan Acs George Mason University Imperial College Mark Sanders Utrecht

Motivation

Producers of n intermediate

goods

Producers of final good C

Consumers of final good C

New Entry R&D

Upstream Knowledge Spillovers

Intertemporal Spillovers

Intertemporal Spillovers

Downstream Knowledge Spillovers

Page 4: The Knowledge Spillover Theory of Entrepreneurship in an Endogenous Growth Model Zoltan Acs George Mason University Imperial College Mark Sanders Utrecht

MotivationGrowth and Ideas; the basic model structure

ConsumersProducers/IntermediatesInvention, Innovation and GrowthSpillovers inter- and intratemporalSpillovers automatic externality

Schumpeter and Endogenous Growth TheoryInnovation vs. InventionWho gets rents?Opportunities vs. IdeasThe source of vs. the bottlenecks in innovationDoes it all matter?

Page 5: The Knowledge Spillover Theory of Entrepreneurship in an Endogenous Growth Model Zoltan Acs George Mason University Imperial College Mark Sanders Utrecht

This PaperContributions

We combine in a general equilibrium setting:

1. Endogenous Commercialization (Schumpeter)

2. Endogenous Opportunity Creation (Romer)

3. Interplay and resulting growth dynamics (Acs and Sanders)

Implications1. Monopoly Rents reward Entrepreneurs (Schumpeter)

2. Opportunity Creation is suboptimal in DC-E (Romer)

3. Commercialization is suboptimal in DC-E (Acs and Sanders)

Page 6: The Knowledge Spillover Theory of Entrepreneurship in an Endogenous Growth Model Zoltan Acs George Mason University Imperial College Mark Sanders Utrecht

The Model

Producers of final good C

Consumers of final good C

Producers of n intermediate

goods

Capital Market

Labor Market Knowledge Flows

Page 7: The Knowledge Spillover Theory of Entrepreneurship in an Endogenous Growth Model Zoltan Acs George Mason University Imperial College Mark Sanders Utrecht

The ModelExternalities…

Knowledge flows that are not appropriated:

1. From R&D to Entrepreneurs2. From past Entrepreneurs to present Entrepreneurs3. From Entrepreneurs to R&D

Knowledge flows that are appropriated:

1. From past R&D to present R&D

…working in different directions.

Page 8: The Knowledge Spillover Theory of Entrepreneurship in an Endogenous Growth Model Zoltan Acs George Mason University Imperial College Mark Sanders Utrecht

The Model

Propositions*:1.More knowledge intensive economy allocates too much effort to R&D.2.More diversified economy allocates too much effort to E’ship.3.Less competitive intermediate sector allocates too much effort to E’ship.4.Strong downstream spillovers allocate too much effort to R&D.5.Strong upstream spillover allocate too much effort to E’ship.

*too much relative to the alternative activity

Page 9: The Knowledge Spillover Theory of Entrepreneurship in an Endogenous Growth Model Zoltan Acs George Mason University Imperial College Mark Sanders Utrecht

Entrepreneurial Growth TheoryNew Features:

Captures spin-out/offCaptures upstream spillovers (specialization)

Captures downstream spillovers (opportunities) Innovation rents motivate commercializationProductivity gains motivate R&D

Results in line with new growth theory:Growth is Sub-OptimalCase for R&D subsidy

Results adding to new growth theory:Case for Entrepreneurship policyOpen R&D labs vs. strict IPROther sources of opportunity may be consideredDistinguishing entrepreneurs from inventors……matters qualitatively for results.

Page 10: The Knowledge Spillover Theory of Entrepreneurship in an Endogenous Growth Model Zoltan Acs George Mason University Imperial College Mark Sanders Utrecht

ConclusionIn the tradition of Schumpeter we:…separate commercialization and invention,…allocate the residual rents to the entrepreneur,…assume opportunity to be an intra temporal spillover.

In the tradition of Romer we:…rationalize knowledge creation,…and allow for inter temporal spillover,…and we show it all in an analytically closed GE-model.

Page 11: The Knowledge Spillover Theory of Entrepreneurship in an Endogenous Growth Model Zoltan Acs George Mason University Imperial College Mark Sanders Utrecht

Our ModelConsumers (standard dynamic optimization)

Where μ(t) is the shadow price (in period 0 utils) of assets.

There is posit

ive and growing

demand for fi

nal goods

Page 12: The Knowledge Spillover Theory of Entrepreneurship in an Endogenous Growth Model Zoltan Acs George Mason University Imperial College Mark Sanders Utrecht

Our ModelFinal Goods Producers

There is posit

ive demand for

labor and all i

ntermediate goods

Page 13: The Knowledge Spillover Theory of Entrepreneurship in an Endogenous Growth Model Zoltan Acs George Mason University Imperial College Mark Sanders Utrecht

Our ModelFinal Goods Producers (R&D)

Final Goods P

roducers

do R&D to

increase Firm

Specific K

nowledge

Page 14: The Knowledge Spillover Theory of Entrepreneurship in an Endogenous Growth Model Zoltan Acs George Mason University Imperial College Mark Sanders Utrecht

Our ModelIntermediate Goods Producers (Entry)

Entry-Arbitrage:

Monopoly profits motiv

ate and

finance new firm

entry

Page 15: The Knowledge Spillover Theory of Entrepreneurship in an Endogenous Growth Model Zoltan Acs George Mason University Imperial College Mark Sanders Utrecht

Our ModelEquilibrium in the educated labor market:

wS w ˜ w

Page 16: The Knowledge Spillover Theory of Entrepreneurship in an Endogenous Growth Model Zoltan Acs George Mason University Imperial College Mark Sanders Utrecht

Our ModelEquilibrium

A/n

1

A/n*

Page 17: The Knowledge Spillover Theory of Entrepreneurship in an Endogenous Growth Model Zoltan Acs George Mason University Imperial College Mark Sanders Utrecht

Our ModelEquilibrium Steady State:

)/( nnfnA

γδ

E

R

nA

ψφ

LL

βαβα

nn

ρrww

BB

CC

XX

KK 2

ER

P

LL

LL

1

;*Stable Unique Positive Growth

Steady State Exists