Anne G. Balter, Johannes M. Schumacher, Nikolaus Schweizer. Decision under ambiguity, composed optimization, and quantal response equilibria. August 2024.
ssrn.com/abstract=4914802
Anne G. Balter, Johannes M. Schumacher, Nikolaus Schweizer. Solving maxmin optimization problems via population games. Final version, February 2024. To appear in Journal of Optimization Theory and Applications.
https://rdcu.be/dB4Lt (prepublication, open access)
Anne G. Balter, Johannes M. Schumacher, Nikolaus Schweizer. Dynamical stability of Nash equilibria in tester games. Revised version, March 2023. Original title: Dynamic stability in population games derived from social decision problems, October 2022.
ssrn.com/abstract=4264872
J.M. Schumacher. Utilitarian versus neutralitarian design of endowment fund policies. Scandinavian Actuarial Journal 2022(8) (2022), 718-748.
doi.org/10.1080/03461238.2022.2025892 (open access)
J.M. Schumacher, P.V. Reddy, J.C. Engwerda. Jump equilibria in public-good differential games with a single state variable. Dynamic Games and Applications 12 (2022), 784-812.
https://rdcu.be/cE79d (open access)
J.M. Schumacher. Ex-ante estate division under strong Pareto efficiency. Mathematical Social Sciences 113 (2021), 10-24.
http://ssrn.com/abstract=3168679 (final revised version)
J.M. Schumacher. A note on Gollier's model for a collective pension fund. Journal of Pension Economics and Finance 20 (2021), 187-211.
https://doi.org/10.1017/S1474747220000013 (open access)
J.M. Schumacher, Introduction to Financial Derivatives. Modeling, Pricing and Hedging. Open Press TiU, September 2020. Free download from www.openpresstiu.org/catalog. Also available in paperback.
P.V. Reddy, J.M. Schumacher, J.C. Engwerda. Analysis of optimal control problems for hybrid systems with one state variable. SIAM Journal on Control and Optimization 58(6) (2020), 3262-3292.
http://ssrn.com/abstract=3424771 (final revised version)
J.M. Schumacher. Efficiency of institutional spending and investment rules. Scandinavian Actuarial Journal 2020(5) 2020, 454-476.
https://doi.org/10.1080/03461238.2019.1685589 (open access)
Hans Schumacher. Een objectieve opslag op de rekenrente is mogelijk met een derivaatmodel. Economisch Statistische Berichten 104(4780) (2019), 595-597.
esb.nu/esb/20055935/een-objectieve-opslag-op-de-rekenrente-is-mogelijk-met-een-derivaatmodel
J.M. Schumacher. Linear versus nonlinear allocation rules in risk sharing under financial fairness. ASTIN Bulletin 48(3) (2018), 995-1024.
http://ssrn.com/abstract=2892760 (final revised version)
J.M. Schumacher. A multi-objective interpretation of optimal transport. Journal of Optimization Theory and Applications 176(1) (2018), 94-119.
https://arxiv.org/pdf/1703.00289.pdf (final revised version)
J.M. Schumacher. Distortion risk measures, ROC curves, and distortion divergence. Statistics & Risk Modeling 35(1-2) (2018), 35-50.
http://ssrn.com/abstract=2956334 (final revised version)
S.H.J.T. Timmermans, J.M. Schumacher, E.H.M. Ponds. A multi-objective decision framework for lifecycle investment. Revised version, September 2017.
http://ssrn.com/abstract=3038803
J. Pazdera, J.M. Schumacher, B.J.M. Werker. The composite iteration algorithm for finding efficient and financially fair risk-sharing rules. Journal of Mathematical Economics 72 (2017), 122-133.
https://ssrn.com/abstract=2393288 (final revised version)
Selected publications, partly motivated by reprint requests.
Arjan van der Schaft, Hans Schumacher
An Introduction to Hybrid Dynamical Systems, 2nd ed. (2024)
The first edition of this book was published by Springer in the year 2000. Publishing rights for the second and further editions have now been returned to the authors by Springer, enabling the web publication of the present corrected version of the book.
Hailong Bao, Eduard H.M. Ponds, Johannes M. Schumacher
Multi-period risk sharing under financial fairness
Insurance: Mathematics and Economics 72 (2017), 49-66
M.K. Camlibel, J.M. Schumacher
Linear passive systems and maximal monotone mappings
Mathematical Programming Ser. B 157 (2016), 397-420
J.C. Engwerda, B. Roorda, J.M. Schumacher
Hedging in Interval Models
pp. 27-86 in: Pierre Bernhard, Jacob C. Engwerda, Berend Roorda, J.M. Schumacher, Vassili Kolokoltsov, Patrick Saint-Pierre, Jean-Pierre Aubin, The Interval Market Model in Mathematical Finance: Game-Theoretic Methods, Birkhäuser, New York, 2013
F.L.J. Kerkhof, B. Melenberg, J.M. Schumacher
Model risk and capital reserves
Journal of Banking and Finance 34 (2010), 267-279
R. Dai, J.M. Schumacher
Welfare analysis of conditional indexation schemes from a two-reference-point perspective
Journal of Pension Economics and Finance 8 (2009), 321-350
J.M. Schumacher
Time-scaling symmetry and Zeno solutions
Automatica 45 (2009), 1237-1242
A. Bemporad, M.K. Camlibel, W.P.M.H. Heemels, A.J. van der Schaft, J.M. Schumacher, B. De Schutter. Further switched systems. In: J. Lunze, F. Lamnabhi-Lagarrigue (eds.), Handbook of Hybrid Systems Control. Theory, Tools, Applications. Cambridge University Press, Cambridge, UK, 2009, pp. 139-192.
S.J. Berridge, J.M. Schumacher
An irregular grid approach for pricing high-dimensional American options
Journal of Computational and Applied Mathematics 222 (2008), 94-111
B. Roorda, J.M. Schumacher, J.C. Engwerda
Coherent acceptability measures in multiperiod models
Mathematical Finance 15 (2005), 589-612
J.M. Schumacher
Control and financial engineering
In: J. Rosenthal, D.S. Gilliam (eds.), Mathematical Systems Theory in Biology, Communications, Computation and Finance. Springer, New York, 2003, pp. 345-374.
This is an extended version of an invited presentation given at the 15th International Symposium on the Mathematical Theory of Networks and Systems held at the University of Notre Dame (MTNS 2002). The text aims to introduce mathematical finance to an audience accustomed to the problem formulations and the methods of deterministic control theory.
W.P.M.H. Heemels, M.K. Camlibel, J.M. Schumacher
On the dynamic analysis of piecewise-linear networks
IEEE Transactions on Circuits and Systems. I: Fundamental Theory and Applications 43 (2002), 315-327
A.J. van der Schaft, J.M. Schumacher
Compositionality issues in discrete, continuous, and hybrid systems
International Journal of Robust and Nonlinear Control 11 (2001), 417-434
M.K. Camlibel, J.M. Schumacher
On the Zeno behavior of linear complementarity systems
Proc. 40th IEEE Conference on Decision and Control (CDC 2001), Orlando, FL, USA, Dec. 4-7, 2001, pp. 346-351
W.P.M.H. Heemels, J.M. Schumacher, S. Weiland
Linear complementarity systems
SIAM Journal on Applied Mathematics 60 (2000), 1234-1269
W.P.M.H. Heemels, J.M. Schumacher, S. Weiland
Applications of complementarity systems
In: Proc. European Control Conference 1999 (ECC 99),
Karslruhe, August 31 - September 3, 1999
A.J. van der Schaft, J.M. Schumacher
Complementarity modeling of hybrid systems
IEEE Transactions on Automatic Control AC-43 (1998), 483-490
U. Helmke, J. Rosenthal, J.M. Schumacher
A controllability test for general first-order representations
Automatica 33 (1997), 193-201
C. Heij, J.M. Schumacher, B. Hanzon, C. Praagman (eds.)
System Dynamics in Economic and Financial Models
Wiley, Chichester, 1997
A.H.W. Geerts, J.M. Schumacher
Impulsive-smooth behavior in multimode systems. Part I: State-space and polynomial representations
Automatica 32 (1996), 747-758
A.H.W. Geerts, J.M. Schumacher
Impulsive-smooth behavior in multimode systems. Part II: Minimality and equivalence
Automatica 32 (1996), 819-832
J. Rosenthal, J.M. Schumacher, E.V. York
On behaviors and convolutional codes
IEEE Transactions on Information Theory IT-42 (1996), 1881-1891
M.S. Ravi, J. Rosenthal, J.M. Schumacher
System equivalences and canonical forms from a behavioral point of view
In: Proc. 34th IEEE Conf. Dec. Contr. (New Orleans, Dec. 1995), IEEE Press, Piscataway, NJ, 484-489
J.M. Schumacher
System-theoretic trends in econometrics
In: A.C. Antoulas (ed.), Mathematical System Theory: The Influence of R.E. Kalman, Springer, Berlin, 1991, 559-578
This paper includes some comments on cointegration, in particular on the Granger Representation Theorem.
J.M. Schumacher
Another look at the Brayton-Moser network equations
In: M.A. Kaashoek, J.H. van Schuppen, A.C.M. Ran (eds.), Realization and Modelling in System Theory (Proc. MTNS-89, Vol. I), Birkhäuser, Boston, 1990, 117-124
J.M. Schumacher
Transformations of linear systems under external equivalence
Linear Algebra and its Applications 102 (1988), 1-34
J.M. Schumacher
Analytic methods for the modeling of flexible structures
In: A. Bensoussan, J.L. Lions (eds.), Analysis and Optimization of Systems. Proceedings of the 8th International Conference on Analysis and Optimization of Systems, Antibes, June 1988. Lect. Notes in Contr. Inform. Sci. 111, Springer, Berlin, 1988, 461-471
J.M. Schumacher
Residue formulas for meromorphic matrices
In: C.I. Byrnes, A. Lindquist (eds.), Computational and Combinatorial Methods in Systems Theory, North-Holland, Amsterdam, 1986, 97-112
H. Nijmeijer, J.M. Schumacher
On the inherent integration structure of nonlinear systems
IMA Journal on Mathematical Control and Information 2 (1985), 87-107
J.M. Schumacher
A geometric approach to the singular filtering problem
IEEE Transactions on Automatic Control AC-30 (1985), 1075-1081
J.M. Schumacher
Almost stabilizability subspaces and high gain feedback
IEEE Transactions on Automatic Control AC-29 (1984), 620-628
H. Aling, J.M. Schumacher
A nine-fold canonical decomposition for linear systems
International Journal of Control 39 (1984), 779-805
J.M. Schumacher
The role of the dissipation matrix in singular optimal control
Systems & Control Letters 2 (1983), 262-266