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Should Robots be Taxed?
Joao Guerreiro, Sergio Rebelo and Pedro Teles
Discussion by Lukas Mayr
November 17, 2017
The Paper
Routine Labor Non-Routine Labor
2
The Paper
Routine Labor Non-Routine LaborRobots
3
Decreasing costs of automation
Routine
Labor
Non-Routine LaborRobots
4
Tax robots ...
Routine
Labor
Non-Routine LaborRobots
5
... or let automation happen?
Non-Routine LaborRobots
6
Mirrleesian taxes
Proposition
In the optimal plan, when automation is incomplete (m < 1) robot taxes
are strictly positive (τx > 0)
7
Mirrleesian taxes
Proposition
In the optimal plan, when automation is incomplete (m < 1) robot taxes
are strictly positive (τx > 0)
Increase in τx reduces the relative wage wn/wr
7
Mirrleesian taxes
Proposition
In the optimal plan, when automation is incomplete (m < 1) robot taxes
are strictly positive (τx > 0)
Increase in τx reduces the relative wage wn/wr
Makes non-routine worker less inclined to mimic the routine worker
7
Mirrleesian taxes
Proposition
In the optimal plan, when automation is incomplete (m < 1) robot taxes
are strictly positive (τx > 0)
Increase in τx reduces the relative wage wn/wr
Makes non-routine worker less inclined to mimic the routine worker
???
7
Mirrleesian taxes
Proposition
In the optimal plan, when automation is incomplete (m < 1) robot taxes
are strictly positive (τx > 0)
Increase in τx reduces the relative wage wn/wr
Makes non-routine worker less inclined to mimic the routine worker
???
Incentive compatibility constraint for non-routine workers
u(Cn) − v(Nn) ≥ u(Cr) − v
wrNr
wn
7
Routine Worker: Assembly Line Worker
8
Non-Routine Worker: Engineer
9
Example
Fabric worker (assembly-line work) and engineer
10
Example
Fabric worker (assembly-line work) and engineer
With τx = 0: wr = 10 USD/hour and wn = 40 USD/hour
10
Example
Fabric worker (assembly-line work) and engineer
With τx = 0: wr = 10 USD/hour and wn = 40 USD/hour
⇒ Engineer gets 40 USD if he works an hour on the assembly line
10
Example
Fabric worker (assembly-line work) and engineer
With τx = 0: wr = 10 USD/hour and wn = 40 USD/hour
⇒ Engineer gets 40 USD if he works an hour on the assembly line
With τx = 20%: wr = 15 USD/hour and wn = 30 USD/hour
10
Example
Fabric worker (assembly-line work) and engineer
With τx = 0: wr = 10 USD/hour and wn = 40 USD/hour
⇒ Engineer gets 40 USD if he works an hour on the assembly line
With τx = 20%: wr = 15 USD/hour and wn = 30 USD/hour
⇒ Engineer gets 30 USD if he works an hour on the assembly line
10
Example
Fabric worker (assembly-line work) and engineer
With τx = 0: wr = 10 USD/hour and wn = 40 USD/hour
⇒ Engineer gets 40 USD if he works an hour on the assembly line
With τx = 20%: wr = 15 USD/hour and wn = 30 USD/hour
⇒ Engineer gets 30 USD if he works an hour on the assembly line
⇒ Implicit assumption: Engineer always has the same marginal
productivity on the assembly line as he has with engineering
10
Mirrleesian taxes
Fixing the incentive compatibility constraint:
u(Cn) − v(Nn) ≥ u(Cr) − v(κNr)
κ is constant
Most sensible parameterization is κ = 1
⇒ Never tax robots!!!
11
Some additional remarks
Interesting and highly relevant question
12
Some additional remarks
Interesting and highly relevant question
Nice model set up with routine tasks as varieties
12
Some additional remarks
Interesting and highly relevant question
Nice model set up with routine tasks as varieties
In Ramsey problems suddenly no informational problem anymore
12
Some additional remarks
Interesting and highly relevant question
Nice model set up with routine tasks as varieties
In Ramsey problems suddenly no informational problem anymore
HSV tax function but no transfers delivers result of no full
automation and positive optimal robot taxes almost by assumption
J Not sure if this is really the appropriate status quo
J There are at least some government transfers
12
Some additional remarks
Interesting and highly relevant question
Nice model set up with routine tasks as varieties
In Ramsey problems suddenly no informational problem anymore
HSV tax function but no transfers delivers result of no full
automation and positive optimal robot taxes almost by assumption
J Not sure if this is really the appropriate status quo
J There are at least some government transfers
Endogenous human capital formation
J Keeping demand for routine workers high by taxing robots
discourages human capital accumulation
12

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Should robots be taxed? Discussion by Lukas Mayr

  • 1. Should Robots be Taxed? Joao Guerreiro, Sergio Rebelo and Pedro Teles Discussion by Lukas Mayr November 17, 2017
  • 2. The Paper Routine Labor Non-Routine Labor 2
  • 3. The Paper Routine Labor Non-Routine LaborRobots 3
  • 4. Decreasing costs of automation Routine Labor Non-Routine LaborRobots 4
  • 6. ... or let automation happen? Non-Routine LaborRobots 6
  • 7. Mirrleesian taxes Proposition In the optimal plan, when automation is incomplete (m < 1) robot taxes are strictly positive (τx > 0) 7
  • 8. Mirrleesian taxes Proposition In the optimal plan, when automation is incomplete (m < 1) robot taxes are strictly positive (τx > 0) Increase in τx reduces the relative wage wn/wr 7
  • 9. Mirrleesian taxes Proposition In the optimal plan, when automation is incomplete (m < 1) robot taxes are strictly positive (τx > 0) Increase in τx reduces the relative wage wn/wr Makes non-routine worker less inclined to mimic the routine worker 7
  • 10. Mirrleesian taxes Proposition In the optimal plan, when automation is incomplete (m < 1) robot taxes are strictly positive (τx > 0) Increase in τx reduces the relative wage wn/wr Makes non-routine worker less inclined to mimic the routine worker ??? 7
  • 11. Mirrleesian taxes Proposition In the optimal plan, when automation is incomplete (m < 1) robot taxes are strictly positive (τx > 0) Increase in τx reduces the relative wage wn/wr Makes non-routine worker less inclined to mimic the routine worker ??? Incentive compatibility constraint for non-routine workers u(Cn) − v(Nn) ≥ u(Cr) − v wrNr wn 7
  • 12. Routine Worker: Assembly Line Worker 8
  • 14. Example Fabric worker (assembly-line work) and engineer 10
  • 15. Example Fabric worker (assembly-line work) and engineer With τx = 0: wr = 10 USD/hour and wn = 40 USD/hour 10
  • 16. Example Fabric worker (assembly-line work) and engineer With τx = 0: wr = 10 USD/hour and wn = 40 USD/hour ⇒ Engineer gets 40 USD if he works an hour on the assembly line 10
  • 17. Example Fabric worker (assembly-line work) and engineer With τx = 0: wr = 10 USD/hour and wn = 40 USD/hour ⇒ Engineer gets 40 USD if he works an hour on the assembly line With τx = 20%: wr = 15 USD/hour and wn = 30 USD/hour 10
  • 18. Example Fabric worker (assembly-line work) and engineer With τx = 0: wr = 10 USD/hour and wn = 40 USD/hour ⇒ Engineer gets 40 USD if he works an hour on the assembly line With τx = 20%: wr = 15 USD/hour and wn = 30 USD/hour ⇒ Engineer gets 30 USD if he works an hour on the assembly line 10
  • 19. Example Fabric worker (assembly-line work) and engineer With τx = 0: wr = 10 USD/hour and wn = 40 USD/hour ⇒ Engineer gets 40 USD if he works an hour on the assembly line With τx = 20%: wr = 15 USD/hour and wn = 30 USD/hour ⇒ Engineer gets 30 USD if he works an hour on the assembly line ⇒ Implicit assumption: Engineer always has the same marginal productivity on the assembly line as he has with engineering 10
  • 20. Mirrleesian taxes Fixing the incentive compatibility constraint: u(Cn) − v(Nn) ≥ u(Cr) − v(κNr) κ is constant Most sensible parameterization is κ = 1 ⇒ Never tax robots!!! 11
  • 21. Some additional remarks Interesting and highly relevant question 12
  • 22. Some additional remarks Interesting and highly relevant question Nice model set up with routine tasks as varieties 12
  • 23. Some additional remarks Interesting and highly relevant question Nice model set up with routine tasks as varieties In Ramsey problems suddenly no informational problem anymore 12
  • 24. Some additional remarks Interesting and highly relevant question Nice model set up with routine tasks as varieties In Ramsey problems suddenly no informational problem anymore HSV tax function but no transfers delivers result of no full automation and positive optimal robot taxes almost by assumption J Not sure if this is really the appropriate status quo J There are at least some government transfers 12
  • 25. Some additional remarks Interesting and highly relevant question Nice model set up with routine tasks as varieties In Ramsey problems suddenly no informational problem anymore HSV tax function but no transfers delivers result of no full automation and positive optimal robot taxes almost by assumption J Not sure if this is really the appropriate status quo J There are at least some government transfers Endogenous human capital formation J Keeping demand for routine workers high by taxing robots discourages human capital accumulation 12