Working Papers
- Implementing Walrasian Equilibrium---the Language of Product-Mix Auctions
- With Paul Klemperer and Edwin Lock
- On Consumer Theory with Indivisible Goods
- With Ravi Jagadeesan, Paul Klemperer and Alex Teytelboym
- Proof that the Strong Substitutes Product-Mix Auction Bidding Language can represent any Substitutes preferences
- With Paul Klemperer
- Choosing in the Dark: Incomplete Preferences, and Climate Policy
- Tropical geometry to analyse demand
- With Paul Klemperer.
- July 2014 draft (prelimilary draft 2012).
- Note: Some parts of this paper have been superceeded by "Understanding Preferences: "Demand Types", and the Existence of Equilibrium with Indivisibilities", see below.
Work in Progress
- Demand Types, Income Effects, and Equilibrium
- With Omer Edhan, Ravi Jagadeesan, Paul Klemperer and Alex Teytelboym
Publications
- Solving Strong-Substitutes Product-Mix Auctions
- With Paul Goldberg, Paul Klemperer and Edwin Lock
- Mathematics of Operations Research, Volume 49, Issue 3, pages 1303-2047 (2024).
- https://doi.org/10.1287/moor.2019.0248
- Strong Substitutes: Structural Properties, and a New Algorithm for Competitive Equilibrium Prices
- With Martin Bichler, Maximilian Fichtl and Paul Klemperer
- Mathematical Programming, Volume 203, pages 611–643, (2024).
- DOI:10.1007/s10107-022-01792-w
- The Equilibrium Existence Duality
- With Ravi Jagadeesan, Paul Klemperer and Alex Teytelboym
- Journal of Political Economy, Volume 131, Number 6, Pages 1440-1476, 2023.
- DOI:10.1086/722935
- Author accepted manuscript, 2022.
- Extended abstract in Proceedings of the 21st ACM Conference on Economics and Computation [EC'20].
- With Paul Klemperer.
- Econometrica, Volume 87, Number 3 (May, 2019) Pages 867-932.
- DOI:10.3982/ECTA13693
- With Yongyang Cai and Karlygash Kuralbayeva.
- Journal of Environmental Economics and Management, 2020, Volume 100, 102235
- DOI:10.1016/j.jeem.2019.05.001
- With Nazmiye Balta-Ozkan.
- International Journal of Hydrogen Energy, Volume 38, Issue 3, Pages 1209–1224, 2013.
- DOI:10.1016/j.ijhydene.2012.11.049
- With R. Hahn, D. Anthoff, L. Cohen, D. Coyle, P. Dasgupta, S. Dietz, D. Frame, G. Heal, C. Hepburn, M. Hoel, C. Kolstad, A. Lange, R. Mendelsohn, K. Nyborg, I. Parry, P. Passell, K. Richards, R. Ritz, T. Schelling, M. Tavoni, A. Ulph, H. Vollebergh, A. Xepapadeas, S. Barrett and J. Hammitt.
- In Climate Change and Common Sense: Essays in Honour of Tom Schelling, R. Hahn and A. Ulph, eds., Oxford University Press, 2012.
- DOI:10.1093/acprof:oso/9780199692873.003.0001
- Journal of the London Mathematical Society, Volume 78, no. 1, 2008. 18 pages
- DOI:10.1112/jlms/jdn014
- With David Swinarski.
- International Mathematics Research Papers, 2008, no. 1. 104 pages.
- DOI:10.1093/imrp/rpn004
If you're interested in my research in geometric invariant theory and the moduli spaces of stable maps, I recommend starting with Ian Morrison's survey article, "GIT Constructions of Moduli Spaces of Stable Curves and Maps", which contains a section on these methods and puts them into context.