Axiomatic aspects of fair division
Priority areas of development: mathematics
The project has been carried out as part of the HSE Program of Fundamental Studies.
Kalinin N., Shkolnikov M. The number π and summation by SL(2, Z) // Arnold Mathematical Journal. 2017 doi
Bogomolnaia A., Sandomirskiy F., Moulin H., Elena Yanovskaya. Competitive division of a mixed manna / NRU Higher School of Economics. Series EC "Economics". 2017. No. 158.
Gavrilovich M. The unreasonable power of the lifting property in elementary mathematics / arxiv. Series arxiv "math.CT". 2017.
Gavrilovich M. Expressing the statement of the Feit-Thompson theorem with diagrams in the category of finite groups / arxiv. Series math.GR "arxiv". 2017.
Bogomolnaia A., Moulin H., Sandomirskiy F., Yanovskaya E. B. Competitive division of a mixed manna // Econometrica. 2017. Vol. 85. No. 6. P. 1847-1871. doi
Bogomolnaia A., Moulin H., Sandomirskiy F., Yanovskaya E. B. Dividing goods or bads under additive utilities // Social Choice and Welfare. 2017
Katsev I., Arin J. The SD-Prenucleolus for TU-Games: Coalitional Monotonicity and Core Stability, in: Game Theory in Management Accounting. , 2017. P. 301-321. doi
Gavrilovich M., Kreps V. L. Games with incomplete information on both sides and with a public signal on the state of the game, in: Contributions to Game Theory and Management / Ed. by L. A. Petrosyan, N. A. Zenkevich. Vol. 10. St. Petersburg : Graduate School of Management SPbU, 2017. P. 68-78.
Kreps V. L. On Maximal Vector Spaces of Finite Noncooperative Games // International Game Theory Review. 2017 doi
Ivashchenko S., Gupta R. FORECASTING USING A NONLINEAR DSGE MODEL // Journal of Central Banking Theory and Practice. 2017
Ivashchenko S., Gupta R. Near-Rational Expectations: How Far are Surveys from Rationality? // Journal of Economics and Econometrics. 2017. Vol. 60. No. 1. P. 1-27.
Nesterov A. S. Fairness and efficiency in strategy-proof object allocation mechanisms // Journal of Economic Theory . 2017. No. 170. P. 145-168. doi
Sandomirskiy F. On Repeated Zero-Sum Games with Incomplete Information and Asymptotically Bounded Values // Dynamic Games and Applications. 2017. P. 1-19. doi
Kalinin N. Tropical approach to Nagata's conjecture in positive characteristic // Discrete and Computational Geometry. 2017. Vol. 58. No. 1. P. 158-179. doi
Bogomolnaia A. The most ordinally-egalitarian of random voting rules // Journal of Public Economic Theory. 2017 doi