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Gender diversity spillovers and token women on boards.
Gender diversity spillovers and token women on boards.
Shadows of public eye
working paper with Joanna Tyrowicz and Siri Terjesen
Hubert Drażkowski
FAME|GRAPE, Warsaw University of Technology
Poznań University of Economics
September 2022
Gender diversity spillovers and token women on boards.
Gender diversity spillovers and token women on boards.
Do women help women? Mechanisms of diversity spillovers
Gender diversity: non-executive roles ⇒ executive roles
Matsa and Miller (2011) Matsa and Miller (2013)
Gender diversity spillovers and token women on boards.
Gender diversity spillovers and token women on boards.
Do women help women? Mechanisms of diversity spillovers
Gender diversity: non-executive roles ⇒ executive roles
Matsa and Miller (2011) Matsa and Miller (2013)
Public firms = public scrutiny
(⇒ reputation cost of denying diversity)
Gender diversity spillovers and token women on boards.
Gender diversity spillovers and token women on boards.
Do women help women? Mechanisms of diversity spillovers
Gender diversity: non-executive roles ⇒ executive roles
Matsa and Miller (2011) Matsa and Miller (2013)
Public firms = public scrutiny
(⇒ reputation cost of denying diversity)
In public firms: helpless if token
Gender diversity spillovers and token women on boards.
Gender diversity spillovers and token women on boards.
Do women help women? Mechanisms of diversity spillovers
Gender diversity: non-executive roles ⇒ executive roles
Matsa and Miller (2011) Matsa and Miller (2013)
Public firms = public scrutiny
(⇒ reputation cost of denying diversity)
In public firms: helpless if token
In non-public firms: no public eye at all
Gender diversity spillovers and token women on boards.
Gender diversity spillovers and token women on boards.
Do women help women? Mechanisms of diversity spillovers
Gender diversity: non-executive roles ⇒ executive roles
Matsa and Miller (2011) Matsa and Miller (2013)
Public firms = public scrutiny
(⇒ reputation cost of denying diversity)
In public firms: helpless if token
In non-public firms: no public eye at all
Gender diversity spillovers and token women on boards.
Gender diversity spillovers and token women on boards.
Do women help women? Mechanisms of diversity spillovers
Gender diversity: non-executive roles ⇒ executive roles
Matsa and Miller (2011) Matsa and Miller (2013)
Public firms = public scrutiny
(⇒ reputation cost of denying diversity)
In public firms: helpless if token
In non-public firms: no public eye at all
What we do?
1 Go beyond stock-listed firms (novel data)
2 Explore data from 1985 onwards (novel gender identification)
3 Do women help women in corporate Europe? (novel specification)
Gender diversity spillovers and token women on boards.
Gender diversity spillovers and token women on boards.
What we know
Managers more likely hire same gender people ... in Germany
Bossler et al. (2020)
Gender diversity spillovers and token women on boards.
Gender diversity spillovers and token women on boards.
What we know
Managers more likely hire same gender people ... in Germany
Bossler et al. (2020)
Women in supervisory roles ⇒ women in executive roles in under public scrutiny firms
eg. Matsa and Miller (2013) Matsa and Miller (2011)
Gender diversity spillovers and token women on boards.
Gender diversity spillovers and token women on boards.
What we know
Managers more likely hire same gender people ... in Germany
Bossler et al. (2020)
Women in supervisory roles ⇒ women in executive roles in under public scrutiny firms
eg. Matsa and Miller (2013) Matsa and Miller (2011)
We know that women on boards are token ... in Denmark
Smith and Parrotta (2018)
Gender diversity spillovers and token women on boards.
Gender diversity spillovers and token women on boards.
Our contribution
Data: Orbis (3 079 262 firms)
Registry data: 1985s - 2020 of 30 European countries
Board members: public and non public Data details
Gender diversity spillovers and token women on boards.
Gender diversity spillovers and token women on boards.
Our contribution
Data: Orbis (3 079 262 firms)
Registry data: 1985s - 2020 of 30 European countries
Board members: public and non public Data details
Identification
Gender based on linguistic rules
Board positions extracted from word parsing Identification
Gender diversity spillovers and token women on boards.
Gender diversity spillovers and token women on boards.
Our contribution
Data: Orbis (3 079 262 firms)
Registry data: 1985s - 2020 of 30 European countries
Board members: public and non public Data details
Identification
Gender based on linguistic rules
Board positions extracted from word parsing Identification
Specification: separating mechanisms
Tokenism, public scrutiny, board compositions in a panel regression Formula
Gender diversity spillovers and token women on boards.
Gender diversity spillovers and token women on boards.
No spillovers
Linear probability 1(femaleMB
t )
model
1(femaleOB
t−1) -.000638***
NOT listedt
listedt #1(femaleOB
t−1)
Observations 16 598 209
Firms 3 079 262
Clustered SE Yes
Fixed effects Firm
Gender diversity spillovers and token women on boards.
Gender diversity spillovers and token women on boards.
No spillovers when no public eye
Linear probability 1(femaleMB
t )
model
1(femaleOB
t−1) -.00638*** .1305***
NOT listedt .039***
NOT listedt #1(femaleOB
t−1) -.1387***
Observations 16 598 209
Firms 3 079 262
Clustered SE Yes
Fixed effects Firm
Gender diversity spillovers and token women on boards.
Gender diversity spillovers and token women on boards.
No spillovers
Linear probability 1(femaleMB
t ) 1(femaleMB
t == 1)
model 1(femaleMB
t−1 == 0)
1(femaleOB
t−1) -.00638*** .1305*** -.0036***
NOT listedt .039***
NOT listedt #1(femaleOB
t−1) -.1387***
Observations 16 598 209 13 236 551
Firms 3 079 262 2 721 726
Clustered SE Yes Yes
Fixed effects Firm Firm
Gender diversity spillovers and token women on boards.
Gender diversity spillovers and token women on boards.
No spillovers when no public eye
Linear probability 1(femaleMB
t ) 1(femaleMB
t == 1)
model 1(femaleMB
t−1 == 0)
1(femaleOB
t−1) -.00638*** .1305*** -.0036*** .09821***
NOT listedt .039*** .0109
NOT listedt #1(femaleOB
t−1) -.1387*** -.1034***
Observations 16 598 209 13 236 551
Firms 3 079 262 2 721 726
Clustered SE Yes Yes
Fixed effects Firm Firm
Gender diversity spillovers and token women on boards.
Gender diversity spillovers and token women on boards.
No spillovers when token
Linear probability 1(femaleMB
t ) 1(femaleMB
t == 1) 1(femaleMB
t )
model 1(femaleMB
t−1 == 0)
1(femaleOB
t−1 <= 1) -.0063*** .1305*** -.0036*** .0982*** -.0031***
NOT listedt .039*** .0109
NOT listedt #1(femaleOB
t−1) -.1387*** -.1034***
Observations 16 598 209 13 236 551 16 598 209
Firms 3 079 262 2 721 726 3 079 262
Clustered SE Yes Yes Yes
Fixed effects Firm Firm Firm
Gender diversity spillovers and token women on boards.
Gender diversity spillovers and token women on boards.
One women ⇒ token
Linear probability 1(femaleMB
t ) 1(femaleMB
t == 1) 1(femaleMB
t )
model 1(femaleMB
t−1 == 0)
1(femaleOB
t−1 ≤ 1) -.0063*** .1305*** -.0036*** .0982*** -.0031*** -.0341***
NOT listedt .039*** .0109 -.0267***
NOT listedt #1(femaleOB
t−1 ≤ 1) -.1387*** -.1034*** .031***
Observations 16 598 209 13 236 551 16 598 209
Firms 3 079 262 2 721 726 3 079 262
Clustered SE Yes Yes Yes
Fixed effects Firm Firm Firm
Gender diversity spillovers and token women on boards.
Gender diversity spillovers and token women on boards.
Conclusions
Women help women?
1 No public scrutiny ⇒ no help
Gender diversity spillovers and token women on boards.
Gender diversity spillovers and token women on boards.
Conclusions
Women help women?
1 No public scrutiny ⇒ no help
2 One women ⇒ token
Gender diversity spillovers and token women on boards.
Gender diversity spillovers and token women on boards.
Conclusions
Women help women?
1 No public scrutiny ⇒ no help
2 One women ⇒ token
3 Spillovers under the public eye ⇒ not if token
Gender diversity spillovers and token women on boards.
Gender diversity spillovers and token women on boards.
Conclusions
Women help women?
1 No public scrutiny ⇒ no help
2 One women ⇒ token
3 Spillovers under the public eye ⇒ not if token
4 Similar mechanism for a first women
Gender diversity spillovers and token women on boards.
Gender diversity spillovers and token women on boards.
Conclusions
Women help women?
1 No public scrutiny ⇒ no help
2 One women ⇒ token
3 Spillovers under the public eye ⇒ not if token
4 Similar mechanism for a first women
Gender diversity spillovers and token women on boards.
Gender diversity spillovers and token women on boards.
Conclusions
Women help women?
1 No public scrutiny ⇒ no help
2 One women ⇒ token
3 Spillovers under the public eye ⇒ not if token
4 Similar mechanism for a first women
Extensions
Time trends
Country weights
Top managers pipeline
Gender diversity spillovers and token women on boards.
Gender diversity spillovers and token women on boards.
Questions or suggestions?
Thank you!
w: grape.org.pl
t: grape org
f: grape.org
e: hubertmarek.drazek[at]gmail.com
Gender diversity spillovers and token women on boards.
Gender diversity spillovers and token women on boards.
Bibliography
Bossler, M., A. Mosthaf, and T. Schank (2020). Are female managers more likely to hire more
female managers? evidence from germany. ILR Review 73(3), 676–704.
Matsa, D. A. and A. R. Miller (2011). Chipping away at the glass ceiling: Gender spillovers in
corporate leadership. American Economic Review 101(3), 635–39.
Matsa, D. A. and A. R. Miller (2013). A female style in corporate leadership? evidence from
quotas. American Economic Journal: Applied Economics 5(3), 136–69.
Smith, N. and P. Parrotta (2018). Why so few women on boards of directors? empirical
evidence from danish companies in 1998–2010. Journal of Business Ethics 147(2), 445–467.
Gender diversity spillovers and token women on boards.
Gender diversity spillovers and token women on boards.
Data details
Figure: Firms from the sample in years
Back
Gender diversity spillovers and token women on boards.
Gender diversity spillovers and token women on boards.
Identification details
People → People gender
Back
Gender diversity spillovers and token women on boards.
Gender diversity spillovers and token women on boards.
Identification details
People → People gender
People gender → BD
Back
Gender diversity spillovers and token women on boards.
Gender diversity spillovers and token women on boards.
Identification details
People → People gender
People gender → BD
MB ∪ SB ⊂ BD
Back
Gender diversity spillovers and token women on boards.
Gender diversity spillovers and token women on boards.
Identification details
People → People gender
People gender → BD
MB ∪ SB ⊂ BD
OB = BD − MB
Back
Gender diversity spillovers and token women on boards.
Gender diversity spillovers and token women on boards.
Identification details
People → People gender
People gender → BD
MB ∪ SB ⊂ BD
OB = BD − MB
⇒ lower bound on absolute value of coefficients
Back
Gender diversity spillovers and token women on boards.
Gender diversity spillovers and token women on boards.
Specification details
Outcome
1(femaleMB
t )
1(femaleMB
t == 1, femaleMB
t−1 == 0)
1 1(femaleOB
t−1)
Back
Gender diversity spillovers and token women on boards.
Gender diversity spillovers and token women on boards.
Specification details
Outcome
1(femaleMB
t )
1(femaleMB
t == 1, femaleMB
t−1 == 0)
1 1(femaleOB
t−1)
2 1(femaleOB
t−1) + NOTlistedt + NOTlistedt#1(femaleOB
t−1)
Back
Gender diversity spillovers and token women on boards.
Gender diversity spillovers and token women on boards.
Specification details
Outcome
1(femaleMB
t )
1(femaleMB
t == 1, femaleMB
t−1 == 0)
1 1(femaleOB
t−1)
2 1(femaleOB
t−1) + NOTlistedt + NOTlistedt#1(femaleOB
t−1)
3 1(femaleOB
t−1 ≤ 1)
Back
Gender diversity spillovers and token women on boards.
Gender diversity spillovers and token women on boards.
Specification details
Outcome
1(femaleMB
t )
1(femaleMB
t == 1, femaleMB
t−1 == 0)
1 1(femaleOB
t−1)
2 1(femaleOB
t−1) + NOTlistedt + NOTlistedt#1(femaleOB
t−1)
3 1(femaleOB
t−1 ≤ 1)
4 1(femaleOB
t−1 ≤ 1) + NOTlistedt + NOTlistedt#1(femaleOB
t−1 ≤ 1)
Back
Gender diversity spillovers and token women on boards.

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Gender spillovers Poznan conference slides

  • 1. Gender diversity spillovers and token women on boards. Gender diversity spillovers and token women on boards. Shadows of public eye working paper with Joanna Tyrowicz and Siri Terjesen Hubert Drażkowski FAME|GRAPE, Warsaw University of Technology Poznań University of Economics September 2022 Gender diversity spillovers and token women on boards.
  • 2. Gender diversity spillovers and token women on boards. Do women help women? Mechanisms of diversity spillovers Gender diversity: non-executive roles ⇒ executive roles Matsa and Miller (2011) Matsa and Miller (2013) Gender diversity spillovers and token women on boards.
  • 3. Gender diversity spillovers and token women on boards. Do women help women? Mechanisms of diversity spillovers Gender diversity: non-executive roles ⇒ executive roles Matsa and Miller (2011) Matsa and Miller (2013) Public firms = public scrutiny (⇒ reputation cost of denying diversity) Gender diversity spillovers and token women on boards.
  • 4. Gender diversity spillovers and token women on boards. Do women help women? Mechanisms of diversity spillovers Gender diversity: non-executive roles ⇒ executive roles Matsa and Miller (2011) Matsa and Miller (2013) Public firms = public scrutiny (⇒ reputation cost of denying diversity) In public firms: helpless if token Gender diversity spillovers and token women on boards.
  • 5. Gender diversity spillovers and token women on boards. Do women help women? Mechanisms of diversity spillovers Gender diversity: non-executive roles ⇒ executive roles Matsa and Miller (2011) Matsa and Miller (2013) Public firms = public scrutiny (⇒ reputation cost of denying diversity) In public firms: helpless if token In non-public firms: no public eye at all Gender diversity spillovers and token women on boards.
  • 6. Gender diversity spillovers and token women on boards. Do women help women? Mechanisms of diversity spillovers Gender diversity: non-executive roles ⇒ executive roles Matsa and Miller (2011) Matsa and Miller (2013) Public firms = public scrutiny (⇒ reputation cost of denying diversity) In public firms: helpless if token In non-public firms: no public eye at all Gender diversity spillovers and token women on boards.
  • 7. Gender diversity spillovers and token women on boards. Do women help women? Mechanisms of diversity spillovers Gender diversity: non-executive roles ⇒ executive roles Matsa and Miller (2011) Matsa and Miller (2013) Public firms = public scrutiny (⇒ reputation cost of denying diversity) In public firms: helpless if token In non-public firms: no public eye at all What we do? 1 Go beyond stock-listed firms (novel data) 2 Explore data from 1985 onwards (novel gender identification) 3 Do women help women in corporate Europe? (novel specification) Gender diversity spillovers and token women on boards.
  • 8. Gender diversity spillovers and token women on boards. What we know Managers more likely hire same gender people ... in Germany Bossler et al. (2020) Gender diversity spillovers and token women on boards.
  • 9. Gender diversity spillovers and token women on boards. What we know Managers more likely hire same gender people ... in Germany Bossler et al. (2020) Women in supervisory roles ⇒ women in executive roles in under public scrutiny firms eg. Matsa and Miller (2013) Matsa and Miller (2011) Gender diversity spillovers and token women on boards.
  • 10. Gender diversity spillovers and token women on boards. What we know Managers more likely hire same gender people ... in Germany Bossler et al. (2020) Women in supervisory roles ⇒ women in executive roles in under public scrutiny firms eg. Matsa and Miller (2013) Matsa and Miller (2011) We know that women on boards are token ... in Denmark Smith and Parrotta (2018) Gender diversity spillovers and token women on boards.
  • 11. Gender diversity spillovers and token women on boards. Our contribution Data: Orbis (3 079 262 firms) Registry data: 1985s - 2020 of 30 European countries Board members: public and non public Data details Gender diversity spillovers and token women on boards.
  • 12. Gender diversity spillovers and token women on boards. Our contribution Data: Orbis (3 079 262 firms) Registry data: 1985s - 2020 of 30 European countries Board members: public and non public Data details Identification Gender based on linguistic rules Board positions extracted from word parsing Identification Gender diversity spillovers and token women on boards.
  • 13. Gender diversity spillovers and token women on boards. Our contribution Data: Orbis (3 079 262 firms) Registry data: 1985s - 2020 of 30 European countries Board members: public and non public Data details Identification Gender based on linguistic rules Board positions extracted from word parsing Identification Specification: separating mechanisms Tokenism, public scrutiny, board compositions in a panel regression Formula Gender diversity spillovers and token women on boards.
  • 14. Gender diversity spillovers and token women on boards. No spillovers Linear probability 1(femaleMB t ) model 1(femaleOB t−1) -.000638*** NOT listedt listedt #1(femaleOB t−1) Observations 16 598 209 Firms 3 079 262 Clustered SE Yes Fixed effects Firm Gender diversity spillovers and token women on boards.
  • 15. Gender diversity spillovers and token women on boards. No spillovers when no public eye Linear probability 1(femaleMB t ) model 1(femaleOB t−1) -.00638*** .1305*** NOT listedt .039*** NOT listedt #1(femaleOB t−1) -.1387*** Observations 16 598 209 Firms 3 079 262 Clustered SE Yes Fixed effects Firm Gender diversity spillovers and token women on boards.
  • 16. Gender diversity spillovers and token women on boards. No spillovers Linear probability 1(femaleMB t ) 1(femaleMB t == 1) model 1(femaleMB t−1 == 0) 1(femaleOB t−1) -.00638*** .1305*** -.0036*** NOT listedt .039*** NOT listedt #1(femaleOB t−1) -.1387*** Observations 16 598 209 13 236 551 Firms 3 079 262 2 721 726 Clustered SE Yes Yes Fixed effects Firm Firm Gender diversity spillovers and token women on boards.
  • 17. Gender diversity spillovers and token women on boards. No spillovers when no public eye Linear probability 1(femaleMB t ) 1(femaleMB t == 1) model 1(femaleMB t−1 == 0) 1(femaleOB t−1) -.00638*** .1305*** -.0036*** .09821*** NOT listedt .039*** .0109 NOT listedt #1(femaleOB t−1) -.1387*** -.1034*** Observations 16 598 209 13 236 551 Firms 3 079 262 2 721 726 Clustered SE Yes Yes Fixed effects Firm Firm Gender diversity spillovers and token women on boards.
  • 18. Gender diversity spillovers and token women on boards. No spillovers when token Linear probability 1(femaleMB t ) 1(femaleMB t == 1) 1(femaleMB t ) model 1(femaleMB t−1 == 0) 1(femaleOB t−1 <= 1) -.0063*** .1305*** -.0036*** .0982*** -.0031*** NOT listedt .039*** .0109 NOT listedt #1(femaleOB t−1) -.1387*** -.1034*** Observations 16 598 209 13 236 551 16 598 209 Firms 3 079 262 2 721 726 3 079 262 Clustered SE Yes Yes Yes Fixed effects Firm Firm Firm Gender diversity spillovers and token women on boards.
  • 19. Gender diversity spillovers and token women on boards. One women ⇒ token Linear probability 1(femaleMB t ) 1(femaleMB t == 1) 1(femaleMB t ) model 1(femaleMB t−1 == 0) 1(femaleOB t−1 ≤ 1) -.0063*** .1305*** -.0036*** .0982*** -.0031*** -.0341*** NOT listedt .039*** .0109 -.0267*** NOT listedt #1(femaleOB t−1 ≤ 1) -.1387*** -.1034*** .031*** Observations 16 598 209 13 236 551 16 598 209 Firms 3 079 262 2 721 726 3 079 262 Clustered SE Yes Yes Yes Fixed effects Firm Firm Firm Gender diversity spillovers and token women on boards.
  • 20. Gender diversity spillovers and token women on boards. Conclusions Women help women? 1 No public scrutiny ⇒ no help Gender diversity spillovers and token women on boards.
  • 21. Gender diversity spillovers and token women on boards. Conclusions Women help women? 1 No public scrutiny ⇒ no help 2 One women ⇒ token Gender diversity spillovers and token women on boards.
  • 22. Gender diversity spillovers and token women on boards. Conclusions Women help women? 1 No public scrutiny ⇒ no help 2 One women ⇒ token 3 Spillovers under the public eye ⇒ not if token Gender diversity spillovers and token women on boards.
  • 23. Gender diversity spillovers and token women on boards. Conclusions Women help women? 1 No public scrutiny ⇒ no help 2 One women ⇒ token 3 Spillovers under the public eye ⇒ not if token 4 Similar mechanism for a first women Gender diversity spillovers and token women on boards.
  • 24. Gender diversity spillovers and token women on boards. Conclusions Women help women? 1 No public scrutiny ⇒ no help 2 One women ⇒ token 3 Spillovers under the public eye ⇒ not if token 4 Similar mechanism for a first women Gender diversity spillovers and token women on boards.
  • 25. Gender diversity spillovers and token women on boards. Conclusions Women help women? 1 No public scrutiny ⇒ no help 2 One women ⇒ token 3 Spillovers under the public eye ⇒ not if token 4 Similar mechanism for a first women Extensions Time trends Country weights Top managers pipeline Gender diversity spillovers and token women on boards.
  • 26. Gender diversity spillovers and token women on boards. Questions or suggestions? Thank you! w: grape.org.pl t: grape org f: grape.org e: hubertmarek.drazek[at]gmail.com Gender diversity spillovers and token women on boards.
  • 27. Gender diversity spillovers and token women on boards. Bibliography Bossler, M., A. Mosthaf, and T. Schank (2020). Are female managers more likely to hire more female managers? evidence from germany. ILR Review 73(3), 676–704. Matsa, D. A. and A. R. Miller (2011). Chipping away at the glass ceiling: Gender spillovers in corporate leadership. American Economic Review 101(3), 635–39. Matsa, D. A. and A. R. Miller (2013). A female style in corporate leadership? evidence from quotas. American Economic Journal: Applied Economics 5(3), 136–69. Smith, N. and P. Parrotta (2018). Why so few women on boards of directors? empirical evidence from danish companies in 1998–2010. Journal of Business Ethics 147(2), 445–467. Gender diversity spillovers and token women on boards.
  • 28. Gender diversity spillovers and token women on boards. Data details Figure: Firms from the sample in years Back Gender diversity spillovers and token women on boards.
  • 29. Gender diversity spillovers and token women on boards. Identification details People → People gender Back Gender diversity spillovers and token women on boards.
  • 30. Gender diversity spillovers and token women on boards. Identification details People → People gender People gender → BD Back Gender diversity spillovers and token women on boards.
  • 31. Gender diversity spillovers and token women on boards. Identification details People → People gender People gender → BD MB ∪ SB ⊂ BD Back Gender diversity spillovers and token women on boards.
  • 32. Gender diversity spillovers and token women on boards. Identification details People → People gender People gender → BD MB ∪ SB ⊂ BD OB = BD − MB Back Gender diversity spillovers and token women on boards.
  • 33. Gender diversity spillovers and token women on boards. Identification details People → People gender People gender → BD MB ∪ SB ⊂ BD OB = BD − MB ⇒ lower bound on absolute value of coefficients Back Gender diversity spillovers and token women on boards.
  • 34. Gender diversity spillovers and token women on boards. Specification details Outcome 1(femaleMB t ) 1(femaleMB t == 1, femaleMB t−1 == 0) 1 1(femaleOB t−1) Back Gender diversity spillovers and token women on boards.
  • 35. Gender diversity spillovers and token women on boards. Specification details Outcome 1(femaleMB t ) 1(femaleMB t == 1, femaleMB t−1 == 0) 1 1(femaleOB t−1) 2 1(femaleOB t−1) + NOTlistedt + NOTlistedt#1(femaleOB t−1) Back Gender diversity spillovers and token women on boards.
  • 36. Gender diversity spillovers and token women on boards. Specification details Outcome 1(femaleMB t ) 1(femaleMB t == 1, femaleMB t−1 == 0) 1 1(femaleOB t−1) 2 1(femaleOB t−1) + NOTlistedt + NOTlistedt#1(femaleOB t−1) 3 1(femaleOB t−1 ≤ 1) Back Gender diversity spillovers and token women on boards.
  • 37. Gender diversity spillovers and token women on boards. Specification details Outcome 1(femaleMB t ) 1(femaleMB t == 1, femaleMB t−1 == 0) 1 1(femaleOB t−1) 2 1(femaleOB t−1) + NOTlistedt + NOTlistedt#1(femaleOB t−1) 3 1(femaleOB t−1 ≤ 1) 4 1(femaleOB t−1 ≤ 1) + NOTlistedt + NOTlistedt#1(femaleOB t−1 ≤ 1) Back Gender diversity spillovers and token women on boards.