Knesset 17.07.2018 Zvi lotker talk on The mathematics of gender
•Download as PPTX, PDF•
1 like•139 views
I presented a model I am very proud of on mathematical models of the glass ceiling in the Knesset (joint work with Chen Avin BGU, Claire Mathieu ENS, David Peleg Weizmann, Yvonne-Anne Pignolet IBB Zurich, Barbara Keller ETHZ, Hadassa Daltrophe BGU, Yinon Nahum Weizmann). The conorance Was interesting
Recommended
Recommended
More Related Content
Similar to Knesset 17.07.2018 Zvi lotker talk on The mathematics of gender
Similar to Knesset 17.07.2018 Zvi lotker talk on The mathematics of gender (20)
More from Zvi Lotker
Recently uploaded
Recently uploaded (20)
Knesset 17.07.2018 Zvi lotker talk on The mathematics of gender
- 1. The mathematics of gender Prof. Zvi Lotker(1,2) (1) Ben-Gurion University (2) Bar Ilan University
- 3. What math has to contribute to gender?
- 4. What math has to contribute to gender? The Tribes’ argument Philosophers Politicians
- 5. The unseen argument What math has to contribute to gender?
- 6. Minimal argument What math has to contribute to gender?
- 8. Models for social networks • Graphs 𝑮 𝟏, 𝑮 𝟐, 𝑮 𝟑 … where 𝑮 𝒕+𝟏 is derived from 𝑮 𝒕 • How? Vertex/edge arrival events • Probabilistic Model
- 9. Preferential attachment • Proposed by [Price ‘76] and [Barabási ,Albert ‘99] to explain Power Law. 9 “The rich get richer” • Dynamic, randomized joining process • Rule: a new site attaches itself to each site with probability proportional to its degree and the and depend no the colors
- 10. Definition [Federal glass ceiling commission, 1995]: “The unseen, yet unbreachable barrier that keeps minorities and women from rising to the upper rungs of the corporate ladder, regardless of their qualifications or achievements” The glass ceiling effect Our motivating question: What prevents women from reaching the stars? Disclaimer: Potential solutions are left for future study…
- 11. Individualsno. Power level How does it look? The glass ceiling effect
- 12. How does it look?Individualsno. Power level The glass ceiling effect
- 13. A. Possible causes for inequality The model considers 1. Minority 2. Homophily 3. The Rich Get Richer One other possible cause: 4. Leaky pipeline Individualsno. Power level
- 14. Another possible cause for inequality 3. Leaky pipeline: Members of the red population may quit work (or take extended vacations) at a higher rate than members of the blue population Thanks to David Peleg for the Slide
- 15. Leaky pipeline in STEM [USA 2010 statistics] Students 51% Male 49% Female Graduates 54% Male 46% Female First Ph.D. post 56% Male 44% Female Next level positions 63% Male 37% Female Highest level 80% Male 20% Female Thanks to David Peleg for the Slide
- 16. Interpretation To break the glass ceiling: One should ensure 𝓡minority ⋅ 𝓡leakage ⋅ 𝓡homophily ≥ 1 or 𝑟 𝑏 ⋅ 𝑞 𝑅 𝑞 𝐵 ⋅ 𝜌 𝐵 1−𝜌 𝑅 𝜌 𝑅 1−𝜌 𝐵 ≥ 1 Increase women entrance rate Increase women activity rate Reduce bias against women Thanks to David Peleg for the Slide
- 17. Conclusion • 1 We saw two explanations for the glass ceiling • 2 We have a formula that measures whether there is a glass ceiling or not • 𝓡minority ⋅ 𝓡leakage ⋅ 𝓡homophily ≥ 1 • 3 Equality will increase if both parents go on maternity leave • 4 Equality will increase if everyone went out of retirement at the same age • Equality would increase if there were more collaborations