Universität Bonn

Trimester Program: "Stochastic Dynamics in Economics and Finance"


May 2 - August 23, 2013

Organizers: R. Amir, I. V. Evstigneev, K. R. Schenk-Hoppé

Description: The trimester program offered a unique framework for research in the area of stochastic dynamics in economics and finance. It combined modern mathematics (probability, optimization, game theory, control, dynamical systems) with innovative modeling approaches in the social sciences. A central theme was the development of new models of market dynamics and equilibrium going beyond the classical Walrasian equilibrium paradigm and relying upon recent advances in strategic (game-theoretic) analysis, along with behavioral and evolutionary principles.

Associated Events: Four workshops contributed to the realization of the research program:

  • 27-29 May 2013
    Stochastic Optimization: Models and Algorithms
    Organizers: Jofré, Rockafellar and Ziemba
  • 17-20 June 2013
    Stochastic Dynamic Games with Applications in Economics and Finance
    Organizers: Amir, Kifer, Riedel and Vieille
  • 15-18 July 2013
    Evolutionary Dynamics and Market Behavior
    Organizers: Hofbauer and Sorin
  • 19-22 August 2013
    Modeling Market Dynamics and Equilibrium: New Challenges, New Horizons
    Organizers: Evstigneev and Schenk-Hoppé
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© Tyche, Goddess of Chance and Fortune. Courtesy of Tatjana Heinz

Publications

No. Author(s) Title Preprint Publication
2013b01 Lensberg, T.; Schenk-Hoppé, K. R. Hedging without sweat: a genetic programming approach 1305.6762 Quantitative Finance Letters, 1(1) (2013), 41–46.
https://doi.org/10.1080/21649502.2013.813166
2013b02 Ladley, D.; Lensberg, T.; Palczewski, J.; Schenk-Hoppé, K. R. Fragmentation and stability of markets ssrn.2304450 J of Econ. Behavior & Organization. 119 (2015), 466-481.
https://doi.org/10.1016/j.jebo.2015.09.013
2013b03 De Angelis, T.; Ferrari, G. A stochastic partially reversible investment problem on a finite time-horizon: free-boundary analysis 1303.6189 Stochastic Process. Appl. 124(12) (2014), 4080–4119.
https://doi.org/10.1016/j.spa.2014.07.008
2013b04 Ferrari, G. On an integral equation for the free-boundary of stochastic, irreversible investment problems 1211.0412 Ann. Appl. Probab. 25(1) (2015), 150–176.
https://doi.org/10.1214/13-AAP991
2013b05 Khan, M. A.; Rath, K. P.; Sun, Y.; Yu, H. Strategic uncertainty and the ex post Nash property in large games   Theor. Econ. 10(1) (2015), 103–129.
https://doi.org/10.3982/TE1492
2013b06 Khan, M. A.; Schlee, E. On Lionel McKenzie's 1957 intrusion into 20th-century demand theory ssrn.2326551 Canadian Journal of Economics. 49(2) (2016), 589 – 636.
https://doi.org/10.1111/caje.12207
2013b07 Khan, M. A.; Sagara, N. The bang-bang, purification and convexity principles in infinite dimensions: additional characterizations of the saturation property   Set-Valued Var. Anal. 22(4) (2014), 721–746.
https://doi.org/10.1007/s11228-014-0282-7
2013b08 Bogachev, L. V.; Zeindler, D. Asymptotic statistics of cycles in surrogate-spatial permutations 1309.7986 Comm. Math. Phys. 334(1) (2015), 39–116.
https://doi.org/10.1007/s00220-014-2110-1
2013b09 Davis, M. H.A.; Lleo, S. Risk-sensitive investment management   Adv. S. on Statistical Sci. & Appl. Proba. 19 (2014).
https://doi.org/10.1142/9026
2013b10 Davis, M. H.A.; Lleo, S. Jump-diffusion asset–liability management via risk-sensitive control   OR Spectrum. 37(3) (2015), 655–675.
https://doi.org/10.1007/s00291-014-0371-x
2013b11 Lleo, S.; Ziemba, W. T. Does the bond-stock earning yield differential model predict equity market corrections better than high P/E models? ssrn.2296836  Financial Markets, Institutions & Instruments. 26(2) (2017), 61 – 123.
https://doi.org/10.1111/fmii.12080
2013b12 Kim, W. C.; Fabozzi, F. J.; Cheridito, P.; Fox, C. Controlling portfolio skewness and kurtosis without directly optimizing third and fourth moments   Econom. Lett. 122(2) (2014), 154–158.
https://doi.org/10.1016/j.econlet.2013.11.024
2013b13 Backhoff Veraguas, J. D.; Fontbona; J. Robust utility maximization without model compactness 1405.0251 SIAM J. Financial Math. 7(1) (2016), 70–103.
https://doi.org/10.1137/140985718
2013b14 Backhoff Veraguas, J. D.; Silva Álvarez, F. J. Sensitivity results in stochastic optimal control: a Lagrangian perspective 1404.0586 ESAIM Control Optim. Calc. Var. 23(1) (2017), 39–70.
https://doi.org/10.1051/cocv/2015039
2013b15 Kim, W. C.; Lee, J. H. Characteristics of robust portfolios in a varied asset universe   Quantitative Finance Letters. 1(1) (2013), 21–29.
http://dx.doi.org/10.1080/21649502.2013.812718
2013b16 Föllmer, H. Spatial risk measures and their local specification: the locally law-invariant case   Stat. Risk Model. 31(1) (2014), 79–101.
https://doi.org/10.1515/strm-2013-5001
2013b17 He, W.; Sun, X. On the diffuseness of incomplete information game 1307.5271 J. Math. Econom. 54 (2014), 131–137.
https://doi.org/10.1016/j.jmateco.2014.01.004
2013b18 Bensoussan, A.; Frehse, J.; Yam, P. Mean field games and mean field type control theory   Springer. (2013).
https://doi.org/10.1007/978-1-4614-8508-7
2013b19 Bensoussan, A.; Frehse, J.; Yam, P. The master equation in mean field theory 1404.4150 J. Math. Pures Appl. 103(6) (2015), 1441–1474.
https://doi.org/10.1016/j.matpur.2014.11.005
2013b20 Bensoussan, A.; Siu, C. C.; Yam, S. C. P.; Yang, H. A class of non-zero-sum stochastic differential investment and reinsurance games   Automatica J. 50(8) (2014), 2025–2037.
https://doi.org/10.1016/j.automatica.2014.05.033
2013b21 Bensoussan, A.; Chau, M.; Yam, P. Mean field games with a dominating player 1404.4148 Appl. Math. Optim. 74(1) (2016), 91–128.
https://doi.org/10.1007/s00245-015-9309-1
2013b22 Shiryaev, A.N.; Zhitlukhin, M.V.; Ziemba, W.T. Land and stock bubbles, crashes and exit strategies In Japan circa 1990 and in 2013 ssrn.2346236 Quant. Finance. 15(9) (2015), 1449–1469.
https://doi.org/10.1080/14697688.2014.989897
2013b23 De Angelis, T.; Ferrari, G.; Moriarty, J. A non-convex singular stochastic control problem and its related optimal stopping boundaries 1405.2442 SIAM J. Control Optim. 53(3) (2015), 1199–1223.
https://doi.org/10.1137/14096801X
2013b24 Hörner, J.; Klein, N.; Rady, S. Strongly symmetric equilibria in bandit games pdf Cowles Foundation. 2364 (2014).
https://elischolar.library.yale.edu/cowles-discussion-paper-series/2364
2013b25 Elmiger, S. Can CRRA preferences explain CAPM-anomalies in the cross-section of stock returns? ssrn.2312273  Swiss Finance Institute Research Paper. (2013), 13-43.
https://doi.org/10.5167/uzh-93699
2013b26 Palczewski, J.; Stettner, Ł. Infinite horizon stopping problems with (nearly) total reward criteria 1401.6905 Stochastic Process. Appl. 124(12) (2014), 3887–3920.
https://doi.org/10.1016/j.spa.2014.07.009
2013b27 Moriarty, J.; Palczewski, J. American call options for power system balancing ssrn.2508258  
2013b28 V'yugin, V. Log-optimal portfolio selection using the Blackwell approachability theorem 1410.5996  
2013b29 Lensberg, T.; Schenk-Hoppé, K. R.; Ladley, D. Costs and benefits of financial regulation: Short-selling bans and transaction taxes   Journal of Banking & Finance. 51 (2015), 103-118.
https://doi.org/10.1016/j.jbankfin.2014.10.014
2013b30 Palczewski, J.; Poulsen, R.; Schenk-Hoppé, K. R.; Wang, H. Dynamic portfolio optimization with transaction costs and state-dependent drift   European J. Oper. Res. 243(3) (2015), 921–931.
https://doi.org/10.1016/j.ejor.2014.12.040
2013b31 Amir, R.; Evstigneev, I. V. On Zermelo's theorem 1610.07160 J. Dyn. Games. 4(3) (2017), 191–194.
https://doi.org/10.3934/jdg.2017011
2013b32 Mertikopoulos, P.; Sandholm, W. H. Riemannian game dynamics 1603.09173 J. Econom. Theory. 177 (2018), 315–364.
https://doi.org/10.1016/j.jet.2018.06.002
2013b33 Steg, J-H. Symmetric equilibria in stochastic timing games 1507.04797  
2013b34 Ziliotto, B. Zero-sum repeated games: counterexamples to the existence of the asymptotic value and the conjecture maxmin = lim vn 1305.4778 Ann. Probab. 44(2) (2016), 1107–1133.
https://doi.org/10.1214/14-AOP997
2013b35 Graewe, P.; Horst, U.; Qiu, J. A non-Markovian liquidation problem and backward SPDEs with singular terminal conditions 1309.0461 SIAM J. Control Optim. 53(2) (2015), 690–711.
https://doi.org/10.1137/130944084
2013b36 Graewe, P.; Horst, U.; Séré, E. Smooth solutions to portfolio liquidation problems under price-sensitive market impact 1309.0474 Stochastic Process. Appl. 128(3) (2018), 979–1006.
https://doi.org/10.1016/j.spa.2017.06.013
2013b37 Mertikopoulos, P.; Kwon, J. A continuous-time approach to online optimization 1401.6956 J. Dyn. Games. 4(2) (2017), 125–148.
https://doi.org/10.3934/jdg.2017008
2013b38 Mertikopoulos, P.; Sandholm, W. H. Learning in games via reinforcement and regularization 1407.6267 Math. Oper. Res. 41(4) (2016), 1297–1324.
https://doi.org/10.1287/moor.2016.0778
2013b39 Davis, M. H.A. Verification of internal risk measure estimates 1410.4382 Stat. Risk Model. 33(3-4) (2016), 67–93.
https://doi.org/10.1515/strm-2015-0007
2013b40 Bravo, M.; Mertikopoulos, P. On the robustness of learning in games with stochastically perturbed payoff observations 1412.6565 Games Econom. Behav. 103 (2017), 41–66.
https://doi.org/10.1016/j.geb.2016.06.004
2013b41 Belkina, T.; Luo, S. Asymptotic investment behaviors under a jump-diffusion risk process 1502.02286 N. Am. Actuar. J. 21(1) (2017), 36–62.
https://doi.org/10.1080/10920277.2016.1246252

Participants

Name Affiliation
Husnain Fateh Ahmad University of Iowa
Gohar Aleksanyan Instituto Superior Tecnico IST
Beth Allen University of Minnesota
Rabah Amir University of Iowa
Stefan Ankirchner Universität Bonn
Nikhil Atreya NHH
Natalie Attard University of Malta
Julio Daniel Backhoff Humboldt Universität zu Berlin
Erik Jan Balder University of Utrecht
Tatiana Belkina Central Economics and Mathematics Institute RAS
Nina Bobkova Universität Bonn
Leonid Bogachev University of Leeds
Luciano de Castro Northwestern University
Yifan Dai University of Iowa
Mark Davis Imperial College London
Tiziano De Angelis The University of Manchester
Amogh Deshpande University of Warwick
Omer Edhan University of Manchester
Sabine Elmiger University of Zürich
Igor Evstigneev University of Manchester
Giorgio Ferrari Universität Bielefeld
Sjur Didrik Flåm University of Bergen
Joaquin Fontbona Universidad de Chile
James C. L. Fung University of Leeds
Hans Föllmer Humboldt Universität zu Berlin
Adriana Gama-Velazquez University of Iowa
Pavel Gapeev London School of Economics
Olga Gorelkina Toulouse School of Economics
Ani Guerdjikova University of Cergy-Pontoise
V. Matthias Gundlach Technische Hochschule Mittelhessen
Alexander Gushchin Moscow State University
Peter J. Hammond University of Warwick
Wei He National University of Singapore
Thorsten Hens University of Zurich
Josef Hofbauer Universität Wien
Ulrich Horst Humboldt-Universität Berlin
Sang Hu The Chinese University of Hong Kong
Johannes Hörner Yale University
Alejandro Jofré University of Chile
Grigory Kabatyanskiy Institute for Information Transmission Problems RAS
Mohammed Ali Khan John Hopkins University
Yurii Khomskii University of Vienna
Yuri Kifer The Hebrew University
Woo Chang Kim Korea Advanced Institute of Science and Technology
Yerkin Kitapbayev The University of Manchester
Malgorzata Knauff Warsaw School of Economics
Alexander Kolesnikov Higher School of Economics
Leonidas Koutsougeras University of Manchester
Joon Kwon Université Pierre et Marie Curie - Paris 6
Hans Terje Lensberg Norwegian School of Economics
Xiaoxi Li Pierre et Marie Curie (Paris 6)
Gechun Liang King's College London
Sebastien Lleo Reims Management School
Juan Pablo Maldonado Lopez Université Pierre et Marie Curie - Paris 6
John Moriarty University of Manchester
Alexey Muravlev Steklov Mathematical Institute
Miquel Oliu Barton Université Pierre et Marie Curie - Paris 6
Ekaterina Palamarchuk Central Economics and Mathematics Institute of RAS
Jan Palczewski University of Leeds
Marilyn Pease University of Iowa
Goran Peskir University of Manchester
Shi Qiu The University of Manchester
Sven Rady Universität Bonn
Frank Riedel Bielefeld University
R.Tyrrell Rockafellar University of Washington
Neofytos Rodosthenous London School of Economics and Political Science
Klaus Reiner Schenk-Hoppé University of Leeds
Albert Shiryaev Steklov Mathematical Institute Academy of Sciences of Russia
Francisco José Silva Université de Limoges
Anastasiia Sokko University of Zurich
Sylvain Sorin Université Pierre et Marie Curie - Paris 6
Yeneng Sun National University of Singapore
Xiang Sun National University of Singapore
Tymon Tatur Universität Bonn
Alexander Veretennikov University of Leeds
Nicolas Vieille HEC Paris
Vladimir Viyugin Institute for Information Transmission Problems
Tongya Wang The University of Leeds
Katarzyna Werner University of Manchester
Jan Werner University of Minnesota
Roger Wets University of California at Davis
Le Xu National University of Singapore
Zibo Xu Stockholm School of Economics
Phillip Sheung Chi Yam The Chinese University of Hong Kong
Yongchao Zhang Shanghai University of Finance and Economics
Mikhail Zhitlukhin The University of Manchester
Shengchao Zhuang The Chinese University of Hong Kong
William T. Ziemba University of British Columbia
Bruno Ziliotto Université Toulouse 1

This list does not include people who only participated in the workshops.

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