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The Challenge of Agent-based
Modeling in Economics
!
OECD!
Paris, May 19, 2014
J.	
  Doyne	
  Farmer	
  
Ins$tute	
  for	
  New	
  Economic	
  Thinking	
  at	
  the	
  Oxford	
  Mar$n	
  School	
  
Mathema0cal	
  Ins0tute,	
  Oxford	
  University	
  
External	
  professor,	
  Santa	
  Fe	
  Ins$tute

Feb.	
  24,	
  2014
My	
  Instruc$ons	
  	
  
(what	
  I	
  am	
  supposed	
  to	
  cover)
• Challenges	
  of	
  applying	
  agent-­‐based	
  modeling	
  
• Promising	
  new	
  areas	
  of	
  applica$on	
  
• How	
  will	
  ABM	
  evolve	
  in	
  the	
  future?
2
What	
  is	
  an	
  agent-­‐based	
  model?
• A	
  computer	
  simulation	
  of	
  a	
  system	
  of	
  
interacting	
  heterogeneous	
  agents	
  
– e.g.	
  households,	
  firms,	
  banks,	
  mutual	
  funds,	
  
government,	
  central	
  bank	
  
• Agent	
  decision	
  rules	
  can	
  be:	
  
– behavioral	
  or	
  rational	
  
– hard-­‐wired	
  or	
  evolving	
  under	
  learning	
  as	
  
agents	
  attempt	
  to	
  maximize	
  utility
2
Paul	
  Krugman’s	
  view	
  of
agent-­‐based	
  modeling	
  	
  
!
“Oh, and about RogerDoyne Farmer (sorry,
Roger!) and Santa Fe and complexity and all
that: I was one of the people who got all
excited about the possibility of getting
somewhere with very detailed agent-based
models — but that was 20 years ago. And
after all this time, it’s all still manifestos and
promises of great things one of these days.”
!
Paul Krugman, Nov. 30, 2010, in response to an article
about INET housing project in WSJ.
4
Why	
  isn’t	
  ABM	
  the	
  
mainstay	
  of	
  economics?
• Math	
  culture	
  is	
  deeply	
  rooted	
  
– papers	
  scored	
  too	
  much	
  on	
  math	
  vs.	
  science	
  
– disdain	
  and	
  distrust	
  of	
  simula$on	
  
– fascina$on	
  with	
  ra$onality	
  and	
  op$mality	
  
• ABM	
  is	
  a	
  fringe	
  ac$vity,	
  hasn’t	
  delivered	
  home	
  
runs	
  needed	
  to	
  enter	
  establishment	
  
– chicken/egg	
  problem	
  	
  
• Lucas	
  cri$que
5
Lucas	
  
Cri$que
• Recession	
  of	
  70’s.	
  	
  “Keynesian”	
  econometric	
  models.	
  
• Phillips	
  curve:	
  	
  Rising	
  prices	
  ~	
  rising	
  employment	
  
• Following	
  Keynesians,	
  Fed	
  inflated	
  money	
  supply	
  
• Result:	
  	
  Inflation,	
  high	
  unemployment	
  =	
  stagflation	
  
• Problem:	
  	
  People	
  can	
  think	
  
• Conclusion:	
  	
  Macro	
  economic	
  models	
  must	
  incorporate	
  
human	
  reasoning	
  
• Solution:	
  	
  Dynamic	
  Stochastic	
  General	
  Eq.	
  models
6
Advantages	
  of	
  DSGE
• “Micro-­‐founded”	
  (unlike	
  econometric	
  models)	
  
– can	
  be	
  used	
  for	
  policy	
  analysis.	
  
• Time	
  series	
  models	
  
– ini$alizable	
  in	
  current	
  state	
  of	
  the	
  world,	
  can	
  make	
  
condi$onal	
  forecasts	
  
• Describe	
  a	
  specific	
  economy	
  at	
  a	
  specific	
  $me.	
  
• In	
  some	
  sense	
  parsimonious
7
Why	
  agent-­‐based	
  modeling?
• Diversifies toolkit of economics: Complements DSGE
and econometric models. Also microfounded

• Time is ripe: increased computer power, Big Data,
behavioral knowledge. Never let a crisis go to waste.

• Hasn’t really been tried yet -- crude estimates:

– econometric models: 30,000 person-years

– DSGE models: 20,000 person-years

– agent-based models: 500 person-years

• Successes elsewhere: Traffic, epidemiology, defense

• Examples of successes in economics: 

– Endogenous explanations of clustered volatility and heavy
tails; firm size; neighborhood choice
8
Advantages
• Can faithfully represent real institutions

• Easily captures instabilities, feedback, nonlinearities,
heterogeneity, network structure,...

• Shocks can be modeled endogenously

• Easy to do policy testing

• Easy to incorporate behavioral knowledge

• Can calibrate modules independently using micro
data -- much stronger test of models!

– In some sense between theory and econometrics

• ABMs synthesize knowledge: 

– Possible to understand what is not understood
9
Challenges
• Little prior art 

• Developing appropriate abstractions 

– What to include, what to omit?

– How to keep model simple yet realistic?

• Micro-data to calibrate decision rules?

• Data censoring problems

• Realistic agent-based models are complicated.

• No theoretical foundation

Cautionary tale of weather forecasting
10
Formula$ng	
  decision	
  rules	
  
• Make	
  something	
  up	
  
• Take	
  from	
  behavioral	
  literature	
  
• Perform	
  experiments	
  in	
  context	
  of	
  ABM	
  
• Interview	
  domain	
  experts	
  
• Calibrate	
  against	
  microdata	
  
• Learning	
  and	
  selec$on	
  
!
(ABM	
  can	
  respond	
  to	
  Lucas	
  cri$que)
11
Model	
  of	
  leveraged	
  value	
  investors
• Collaborators:	
  	
  Sebas$an	
  Poledna,	
  Stefan	
  
Thurner,	
  John	
  Geanakoplos
12
Evolu$onary	
  view	
  of	
  key	
  $me	
  series
13
0
20
40
60
80
Wh
(t)
0
20
40
60
80
t
(t)
2004 2005 2006 2007 2008 2009 2010 20112012
0
20
40
60
80
^VIX
1
= 5
2
= 10
3
= 15
4
= 20
5
= 25
6
= 30
7
= 35
8
= 40
9
= 45
10
= 50
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5
x 10
4
0
0.5
1
1.5
2
t
p(t)
(a)
(b)
(c)
Defaults	
  under	
  diverse	
  	
  
regulatory	
  regimes
14
1 5 10 15 20
0
0.02
0.04
0.06
0.08
0.1
0.12
max
<probabilityoffundfailure>
(a)
unreg.
basel
perfect. h.
Is	
  it	
  possible	
  to	
  make	
  a	
  quan$ta$ve	
  
ABM	
  that	
  can	
  be	
  used	
  as	
  a	
  $me	
  
series	
  model?
(and	
  therefore	
  can	
  compete	
  with	
  DSGE)
15
Housing	
  model	
  project
• Senior	
  collaborators:	
  	
  Rob	
  Axtell,	
  John	
  
Geanakoplos,	
  Peter	
  Howik	
  
• Junior	
  collaborators:	
  Ernesto	
  Carella,	
  Ben	
  
Conlee,	
  Jon	
  Goldstein,	
  Makhew	
  Hendrey,	
  
Philip	
  Kalikman	
  
• Funded	
  by	
  INET	
  three	
  years	
  ago	
  for	
  $375,000.
16
Agent-­‐based	
  model	
  of	
  housing	
  market
• Goal:	
  	
  condi$onal	
  forecasts	
  and	
  policy	
  analysis	
  
• Simula$on	
  at	
  level	
  of	
  individual	
  households	
  
• Exogenous	
  variables:	
  demographics,	
  interest	
  
rates,	
  lending	
  policy,	
  housing	
  supply.	
  
• Predicted	
  variables:	
  	
  prices,	
  inventory,	
  default	
  
• 16	
  Data	
  sets:	
  	
  Census,	
  mortgages	
  (Core	
  Logic),tax	
  
returns	
  (IRS),	
  real	
  estate	
  records	
  (MLA),	
  ...	
  	
  
• Current	
  goal:	
  	
  Model	
  Washington	
  DC	
  metro	
  area	
  
• Future	
  goal:	
  	
  All	
  metro	
  areas	
  in	
  US	
  
17
Module	
  examples
• Desired	
  expenditure	
  model	
  
– buyers’	
  desired	
  home	
  price	
  as	
  a	
  func$on	
  of	
  household	
  
income	
  and	
  wealth	
  
• Seller’s	
  pricing	
  model	
  
– seller’s	
  offering	
  price	
  as	
  a	
  func$on	
  of	
  home	
  quality,	
  
$me	
  on	
  market,	
  and	
  total	
  inventory	
  
• Buyer-­‐seller	
  matching	
  algorithm	
  
– links	
  buyers	
  and	
  sellers	
  to	
  make	
  transac$ons	
  
• Household	
  wealth	
  dynamics	
  
– models	
  consump$on	
  and	
  savings	
  
• Loan	
  approval	
  
– qualifies	
  buyers	
  for	
  loans	
  based	
  on	
  income,	
  wealth;	
  
must	
  match	
  issued	
  mortgages
18
Housing	
  model	
  algorithm
At	
  each	
  $me	
  step:	
  
• Input	
  changes	
  to	
  exogenous	
  variables	
  
• Update	
  state	
  of	
  households	
  
– income,	
  consump$on,	
  wealth,	
  foreclosures,	
  ...	
  
• Buyers:	
  	
  	
  
– Who?	
  	
  Price	
  range?	
  	
  Loan	
  approval,	
  terms?	
  
• Sellers:	
  	
  	
  
– Who?	
  	
  Offering	
  price?	
  	
  Price	
  updates?	
  
• Match	
  buyers	
  and	
  sellers	
  
– Compute	
  transac$ons	
  and	
  prices
19
Tentative conclusion: Lending policy is dominant cause of
housing bubble in Washington DC.
• Complete	
  agent-­‐based	
  model	
  of	
  economy	
  
• Agents:	
  	
  Households,	
  firms,	
  banks,	
  mutual	
  funds,	
  
central	
  banks.	
  	
  Both	
  financial	
  and	
  macro.	
  
• Goals:	
  
– 	
  tool	
  for	
  policy	
  decision	
  making	
  
– series	
  of	
  models	
  of	
  increasing	
  complexity	
  
– create	
  standard	
  sopware	
  library	
  	
  
– Be	
  useful	
  for	
  central	
  banks
CRISISComplexity Research Initiative
for Systemic InstabilitieS
EUROPEAN
COMMISSION
21
Mark	
  2
22
CRISIS	
  schema$c
Produc$on	
  sector
• Input-­‐output	
  economy	
  
– firms	
  are	
  myopic	
  profit	
  maximizers	
  that	
  use	
  
heuris$cs	
  to	
  set	
  price	
  and	
  quan$ty	
  of	
  produc$on	
  
– variable	
  labor	
  supply	
  
– finance	
  produc$on	
  via	
  mixture	
  of	
  credit	
  and	
  equity	
  
– input-­‐output	
  structure	
  mimicking	
  real	
  economy	
  
• For	
  comparison	
  have	
  simpler	
  alterna$ves,	
  e.g.	
  fixed	
  
labor	
  Cobb	
  Douglas,	
  exogenous	
  dividends.
23
Financial	
  sector
• Banks	
  	
  
– take	
  deposits	
  from	
  firms	
  and	
  households,	
  lend	
  to	
  
firms,	
  buy	
  and	
  sell	
  shares,	
  interbank	
  market.	
  
– Investment	
  strategies:	
  trend	
  following,	
  fundamental	
  
Central	
  bank	
  
– conven$onal	
  and	
  unconven$onal	
  policy	
  opera$ons	
  
– interest	
  rate	
  can	
  be	
  formed	
  endogenously	
  
• Firms	
  
– borrow	
  from	
  banks	
  to	
  fund	
  produc$on	
  
• Adding:	
  	
  mortgages,	
  shadow	
  banking,	
  mutual	
  funds,	
  …
24
Effect	
  of	
  pro-­‐cyclical	
  leverage
25
Unconven$onal	
  policy	
  opera$ons:	
  
purchase	
  &	
  assump$on,	
  bailout,	
  bail	
  in
26
Bail-­‐in	
  is	
  better	
  for	
  GDP	
  than	
  bailout
3
7
Conclusions
• We	
  have	
  lots	
  of	
  work	
  to	
  do	
  to	
  make	
  models	
  that	
  can	
  
seriously	
  compete	
  with	
  DSGE	
  
• Should	
  be	
  possible	
  to	
  make	
  model	
  with	
  rich	
  
ins$tu$onal	
  structure,	
  calibrated	
  to	
  real	
  world	
  
• Capability	
  to	
  put	
  an	
  economy	
  in	
  current	
  state	
  of	
  a	
  real	
  
economy,	
  make	
  condi$onal	
  forecasts	
  
• Economic	
  models	
  of	
  future	
  will	
  be	
  ABM,	
  but	
  when?	
  
• Chicken-­‐egg	
  problem	
  to	
  get	
  ABM	
  off	
  the	
  ground	
  
• Economics	
  needs	
  more	
  diversity!
28
Design	
  philosophy
• As	
  simple	
  as	
  possible	
  (but	
  no	
  more)	
  
• Design	
  model	
  around	
  available	
  data	
  
• Fit	
  modules	
  and	
  agent	
  behaviors	
  independently	
  from	
  
target	
  data,	
  using	
  several	
  different	
  methods:	
  
– micro-­‐data	
  for	
  calibra$on	
  and	
  tes$ng	
  
– consult	
  domain	
  experts	
  for	
  behavioral	
  hypotheses	
  
– adap$ve	
  op$miza$on	
  to	
  cope	
  with	
  Lucas	
  cri$que	
  
– economic	
  experiments	
  
• Systema$cally	
  explore	
  model	
  sensi$vi$es	
  
• Plug	
  and	
  play	
  
• Standardized	
  interfaces	
  
• Industrial	
  code,	
  sopware	
  standards,	
  open	
  source
29

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2014.05.19 - OECD-ECLAC Workshop_Session 2_Doyne FARMER

  • 1. The Challenge of Agent-based Modeling in Economics ! OECD! Paris, May 19, 2014 J.  Doyne  Farmer   Ins$tute  for  New  Economic  Thinking  at  the  Oxford  Mar$n  School   Mathema0cal  Ins0tute,  Oxford  University   External  professor,  Santa  Fe  Ins$tute
 Feb.  24,  2014
  • 2. My  Instruc$ons     (what  I  am  supposed  to  cover) • Challenges  of  applying  agent-­‐based  modeling   • Promising  new  areas  of  applica$on   • How  will  ABM  evolve  in  the  future? 2
  • 3. What  is  an  agent-­‐based  model? • A  computer  simulation  of  a  system  of   interacting  heterogeneous  agents   – e.g.  households,  firms,  banks,  mutual  funds,   government,  central  bank   • Agent  decision  rules  can  be:   – behavioral  or  rational   – hard-­‐wired  or  evolving  under  learning  as   agents  attempt  to  maximize  utility 2
  • 4. Paul  Krugman’s  view  of agent-­‐based  modeling     ! “Oh, and about RogerDoyne Farmer (sorry, Roger!) and Santa Fe and complexity and all that: I was one of the people who got all excited about the possibility of getting somewhere with very detailed agent-based models — but that was 20 years ago. And after all this time, it’s all still manifestos and promises of great things one of these days.” ! Paul Krugman, Nov. 30, 2010, in response to an article about INET housing project in WSJ. 4
  • 5. Why  isn’t  ABM  the   mainstay  of  economics? • Math  culture  is  deeply  rooted   – papers  scored  too  much  on  math  vs.  science   – disdain  and  distrust  of  simula$on   – fascina$on  with  ra$onality  and  op$mality   • ABM  is  a  fringe  ac$vity,  hasn’t  delivered  home   runs  needed  to  enter  establishment   – chicken/egg  problem     • Lucas  cri$que 5
  • 6. Lucas   Cri$que • Recession  of  70’s.    “Keynesian”  econometric  models.   • Phillips  curve:    Rising  prices  ~  rising  employment   • Following  Keynesians,  Fed  inflated  money  supply   • Result:    Inflation,  high  unemployment  =  stagflation   • Problem:    People  can  think   • Conclusion:    Macro  economic  models  must  incorporate   human  reasoning   • Solution:    Dynamic  Stochastic  General  Eq.  models 6
  • 7. Advantages  of  DSGE • “Micro-­‐founded”  (unlike  econometric  models)   – can  be  used  for  policy  analysis.   • Time  series  models   – ini$alizable  in  current  state  of  the  world,  can  make   condi$onal  forecasts   • Describe  a  specific  economy  at  a  specific  $me.   • In  some  sense  parsimonious 7
  • 8. Why  agent-­‐based  modeling? • Diversifies toolkit of economics: Complements DSGE and econometric models. Also microfounded • Time is ripe: increased computer power, Big Data, behavioral knowledge. Never let a crisis go to waste. • Hasn’t really been tried yet -- crude estimates: – econometric models: 30,000 person-years – DSGE models: 20,000 person-years – agent-based models: 500 person-years • Successes elsewhere: Traffic, epidemiology, defense • Examples of successes in economics: – Endogenous explanations of clustered volatility and heavy tails; firm size; neighborhood choice 8
  • 9. Advantages • Can faithfully represent real institutions • Easily captures instabilities, feedback, nonlinearities, heterogeneity, network structure,... • Shocks can be modeled endogenously • Easy to do policy testing • Easy to incorporate behavioral knowledge • Can calibrate modules independently using micro data -- much stronger test of models! – In some sense between theory and econometrics • ABMs synthesize knowledge: – Possible to understand what is not understood 9
  • 10. Challenges • Little prior art • Developing appropriate abstractions – What to include, what to omit? – How to keep model simple yet realistic? • Micro-data to calibrate decision rules? • Data censoring problems • Realistic agent-based models are complicated. • No theoretical foundation Cautionary tale of weather forecasting 10
  • 11. Formula$ng  decision  rules   • Make  something  up   • Take  from  behavioral  literature   • Perform  experiments  in  context  of  ABM   • Interview  domain  experts   • Calibrate  against  microdata   • Learning  and  selec$on   ! (ABM  can  respond  to  Lucas  cri$que) 11
  • 12. Model  of  leveraged  value  investors • Collaborators:    Sebas$an  Poledna,  Stefan   Thurner,  John  Geanakoplos 12
  • 13. Evolu$onary  view  of  key  $me  series 13 0 20 40 60 80 Wh (t) 0 20 40 60 80 t (t) 2004 2005 2006 2007 2008 2009 2010 20112012 0 20 40 60 80 ^VIX 1 = 5 2 = 10 3 = 15 4 = 20 5 = 25 6 = 30 7 = 35 8 = 40 9 = 45 10 = 50 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 x 10 4 0 0.5 1 1.5 2 t p(t) (a) (b) (c)
  • 14. Defaults  under  diverse     regulatory  regimes 14 1 5 10 15 20 0 0.02 0.04 0.06 0.08 0.1 0.12 max <probabilityoffundfailure> (a) unreg. basel perfect. h.
  • 15. Is  it  possible  to  make  a  quan$ta$ve   ABM  that  can  be  used  as  a  $me   series  model? (and  therefore  can  compete  with  DSGE) 15
  • 16. Housing  model  project • Senior  collaborators:    Rob  Axtell,  John   Geanakoplos,  Peter  Howik   • Junior  collaborators:  Ernesto  Carella,  Ben   Conlee,  Jon  Goldstein,  Makhew  Hendrey,   Philip  Kalikman   • Funded  by  INET  three  years  ago  for  $375,000. 16
  • 17. Agent-­‐based  model  of  housing  market • Goal:    condi$onal  forecasts  and  policy  analysis   • Simula$on  at  level  of  individual  households   • Exogenous  variables:  demographics,  interest   rates,  lending  policy,  housing  supply.   • Predicted  variables:    prices,  inventory,  default   • 16  Data  sets:    Census,  mortgages  (Core  Logic),tax   returns  (IRS),  real  estate  records  (MLA),  ...     • Current  goal:    Model  Washington  DC  metro  area   • Future  goal:    All  metro  areas  in  US   17
  • 18. Module  examples • Desired  expenditure  model   – buyers’  desired  home  price  as  a  func$on  of  household   income  and  wealth   • Seller’s  pricing  model   – seller’s  offering  price  as  a  func$on  of  home  quality,   $me  on  market,  and  total  inventory   • Buyer-­‐seller  matching  algorithm   – links  buyers  and  sellers  to  make  transac$ons   • Household  wealth  dynamics   – models  consump$on  and  savings   • Loan  approval   – qualifies  buyers  for  loans  based  on  income,  wealth;   must  match  issued  mortgages 18
  • 19. Housing  model  algorithm At  each  $me  step:   • Input  changes  to  exogenous  variables   • Update  state  of  households   – income,  consump$on,  wealth,  foreclosures,  ...   • Buyers:       – Who?    Price  range?    Loan  approval,  terms?   • Sellers:       – Who?    Offering  price?    Price  updates?   • Match  buyers  and  sellers   – Compute  transac$ons  and  prices 19
  • 20. Tentative conclusion: Lending policy is dominant cause of housing bubble in Washington DC.
  • 21. • Complete  agent-­‐based  model  of  economy   • Agents:    Households,  firms,  banks,  mutual  funds,   central  banks.    Both  financial  and  macro.   • Goals:   –  tool  for  policy  decision  making   – series  of  models  of  increasing  complexity   – create  standard  sopware  library     – Be  useful  for  central  banks CRISISComplexity Research Initiative for Systemic InstabilitieS EUROPEAN COMMISSION 21
  • 23. Produc$on  sector • Input-­‐output  economy   – firms  are  myopic  profit  maximizers  that  use   heuris$cs  to  set  price  and  quan$ty  of  produc$on   – variable  labor  supply   – finance  produc$on  via  mixture  of  credit  and  equity   – input-­‐output  structure  mimicking  real  economy   • For  comparison  have  simpler  alterna$ves,  e.g.  fixed   labor  Cobb  Douglas,  exogenous  dividends. 23
  • 24. Financial  sector • Banks     – take  deposits  from  firms  and  households,  lend  to   firms,  buy  and  sell  shares,  interbank  market.   – Investment  strategies:  trend  following,  fundamental   Central  bank   – conven$onal  and  unconven$onal  policy  opera$ons   – interest  rate  can  be  formed  endogenously   • Firms   – borrow  from  banks  to  fund  produc$on   • Adding:    mortgages,  shadow  banking,  mutual  funds,  … 24
  • 26. Unconven$onal  policy  opera$ons:   purchase  &  assump$on,  bailout,  bail  in 26
  • 27. Bail-­‐in  is  better  for  GDP  than  bailout 3 7
  • 28. Conclusions • We  have  lots  of  work  to  do  to  make  models  that  can   seriously  compete  with  DSGE   • Should  be  possible  to  make  model  with  rich   ins$tu$onal  structure,  calibrated  to  real  world   • Capability  to  put  an  economy  in  current  state  of  a  real   economy,  make  condi$onal  forecasts   • Economic  models  of  future  will  be  ABM,  but  when?   • Chicken-­‐egg  problem  to  get  ABM  off  the  ground   • Economics  needs  more  diversity! 28
  • 29. Design  philosophy • As  simple  as  possible  (but  no  more)   • Design  model  around  available  data   • Fit  modules  and  agent  behaviors  independently  from   target  data,  using  several  different  methods:   – micro-­‐data  for  calibra$on  and  tes$ng   – consult  domain  experts  for  behavioral  hypotheses   – adap$ve  op$miza$on  to  cope  with  Lucas  cri$que   – economic  experiments   • Systema$cally  explore  model  sensi$vi$es   • Plug  and  play   • Standardized  interfaces   • Industrial  code,  sopware  standards,  open  source 29