MARCO FRITTELLI

PUBLICATIONS

Selected Publications


F. Biagini, A. Doldi, JP Fouque, M. Frittelli and T. Meyer-Brandis (2020)
Systemic Optimal Risk Transfer Equilibrium,
Mathematics and Financial Economics, (forthcoming).

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F. Biagini, JP Fouque, M. Frittelli and T. Meyer-Brandis (2020)
On fairness of Systemic Risk Measures,
Finance and Stochastics, Vol. 24, pp 513-564.
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F. Biagini, JP Fouque, M. Frittelli and T. Meyer-Brandis (2019)
A Unified Approach to Systemic Risk Measures via Acceptance Sets
Mathematical Finance, Vol. 29,  pp 329-367.

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M. Burzoni, M. Frittelli, Z. Hou, M. Maggis and J. Obloj (2019)
Pointwise Arbitrage Pricing Theory in Discrete Time,
Mathematics of Operation Research, Vol 44/3, pp 1034-1057.
Published online in Articles in Advance 03 April 2019
Pointwise Arbitrage Pricing Theory in Discrete

M. Frittelli and M. Maggis (2018)
Disentangling Price, Risk and Model Risk: Value and Risk Measures, 
Mathematics and Financial Economics, Vol 12/2, pp 219-247.
Published Online Springer Link

M. Burzoni, M. Frittelli, M. Maggis (2017)
Model-free Superhedging Duality,
The Annals of Applied Probabiliy, Vol. 27/3, pp 1452-1477.
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M. Burzoni, M. Frittelli and M. Maggis (2016)
Universal Arbitrage Aggregator in Discrete-time Markets
under Uncertainty,
Finance and Stochastics, Vol 20/1, pp 1-50.
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M. Frittelli, L. Mancini and I. Peri (2016)
Scientific Research Measures,
Journal of the Association for Information Science and Technology, Vol 67, pp 3051-3063 : [PDF]
First and complete version (2013): [PDF]

M. Frittelli and M. Maggis (2014)
Conditionally Evenly Convex Sets and Evenly Quasi-convex Maps,
Journal of Mathematical Analysis and Applications, Vol 413, pp 169-184
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M. Frittelli, M. Maggis and I. Peri (2014)
Risk Measures on P(R) and Value at Risk with Probability/Loss Function
Mathematical Finance, Vol 24/2, pp 442-463.
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M. Frittelli and M. Maggis (2014)
Complete Duality for Quasiconvex Dynamic Risk Measures on modules of the Lp-type,
Statistics and Risk Modeling, Vol 31/1, pp 103-128.
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M. Frittelli and M. Maggis (2011)
Dual Representation of Quasi-convex Conditional Maps,
SIAM J. Financial Math., Vol 2, pp 357-382.
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M. Frittelli and M. Maggis (2011)
Conditional Certainty Equivalent
International Journal of Theoretical and Applied Finance, Vol 14/1, pp. 41-59.
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M. Frittelli and E. Rosazza Gianin (2011)
On the penalty function and on continuity properties of risk measures, 
International Journal of Theoretical and Applied Finance, Vol 14/1, pp. 163-185.
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S. Biagini, M. Frittelli and M. Grasselli (2011)
Indifference price with general semimartingale, 
Mathematical Finance, Vol 21/3, pp. 423-446.
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S. Biagini and M. Frittelli  (2009) 
On the extension of the Namioka-Klee theorem and on the Fatou property for risk measures, 

In: Optimality and risk: modern trends in mathematical finance. The Kabanov Festschrift
Editors: F. Delbaen, M. Rasonyi, Ch. Stricker, pp. 1-29.
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S. Biagini and M. Frittelli  (2008)
A unified framework for utility maximization problems: an Orlicz space approach,
The Annals of Applied Probability, Vol. 18/3, pp. 929-966.
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S. Biagini and M. Frittelli  (2007) 
The supermartingale property of the optimal wealth process for general semimartingale,
Finance and Stochastics, Vol. 11/2, pp. 253-266.
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M. Frittelli (2007)
No Arbitrage and Preferences,
In: Economia matematica e econometria: problemi e prospettive, Istituto Lombardo – Accademia di Scienze e Lettere, LED, pp 181-201.
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M. Frittelli and G. Scandolo (2006)
Risk measures and capital requirements for processes,
Mathematical Finance, Vol. 16/4, pp. 589-613.
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S. Biagini and M. Frittelli  (2005)
Utility maximization in incomplete markets for unbounded processes,
Finance and Stochastics, Vol. 9/4, pp. 493-517.
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M. Frittelli and E. Rosazza Gianin (2005)
Law invariant convex risk measures

Advances in Mathematical Economics
, Vol. 7, pp. 33-46.
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S. Biagini and M. Frittelli (2004)
On the super-replication price of unbounded claims,
 The Annals of Applied Probability, Vol. 14/4, pp. 1970-1991.
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M. Frittelli (2004)
Some remarks on arbitrage and preferences in securities market models
Mathematical Finance, Vol. 14/3, pp. 351-357.
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M. Frittelli and E. Rosazza Gianin (2004)
Dynamic convex risk measures,
New Risk Measures for the 21th Century, G. Szego ed., John Wiley & Sons, pp. 227-248.
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F. Bellini and M. Frittelli (2002)
On the existence of minimax martingale measures
Mathematical Finance,  Vol. 12/1, pp. 1-21.
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M. Frittelli and E. Rosazza Gianin (2002)
Putting order in risk measures
Journal of Banking and Finance, Vol. 26 pp. 1473-1486.
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M. Frittelli (2000)
The minimal entropy martingale measure and the valuation problem in incomplete markets
Mathematical Finance, Vol. 10/1 pp. 39-52.
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M. Frittelli (2000)
Introduction to a theory of value coherent with the no arbitrage principle,
Finance and Stochastics, Vol. 4/3, pp. 275-297.
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M. Frittelli (1997)
Semimartingales and asset pricing under constraints,
Mathematics of Derivative Securities, S. Pliska, M.A.H. Dempster eds., Newton Institute for Mathematical Science, Cambridge University Press, pp. 265-277.
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M. Frittelli 
Così la formula Black e Scholes ha cambiato la storia delle opzioni

Il Sole 24 OREOctober 30, 1997.

M. Frittelli (1996)
Dominated families of martingale, supermartingale and quasimartingale laws
Stochastic Processes and their Applications, Vol. 63, pp. 265-277.
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P. Falbo, M. Frittelli and S. Stefani (1996)
Commodity futures markets and trading strategies opportunities,
Modelling Techniques for Financial Markets and Bank Management, M. Bertocchi and S. Komlosi eds., Physica Verlag, Heidelberg, pp. 48‑64.

M. Frittelli (1996)
Valuation principle in security markets models with frictions,
Contributions in Probability, Carlo Cecchini ed., Forum, pp. 131-139, Udine.

M. Frittelli and P. Lakner (1995)
Arbitrage and free lunch in a general financial market model: the fundamental theorem of asset pricing,
Mathematical Finance, IMA Volumes in Mathematics and Applications, M.H.A Davis, D. Duffie, W. Fleming and S. Shreve eds., Vol. 65, Springer-Verlag, New York, pp.89-94.

M. Frittelli and P. Lakner (1994)
Almost sure characterization of martingales,
Stochastics and Stochastic Reports, Vol. 49, pp. 181-190.
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Selected working papers 


A. Doldi, M. Frittelli (2020)
Entropy Martingale Optimal Transport and Nonlinear Pricing-Hedging Duality,

arXiv:2005.12572
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A. Doldi, M. Frittelli (2019)
Multivariate Systemic Optimal Risk Transfer Equilibrium

arXiv:1912.12226
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S. Biagini, M. Frittelli and M. Grasselli (2008)
Indifference price with general semimartingale, 
Complete version of the paper published on Mathematical Finance, Vol 21/3 (2011).
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S. Biagini and M. Frittelli  (2004) 
A note on the super replication price of unbounded claims,
Technical Report n. 10, Dept. “Matematica per le Decisioni”, Università di Firenze.
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M. Frittelli and E. Rosazza Gianin (2004)
Equivalent formulations of Reasonable Asymptotic Elasticity,
Technical Report n. 12,  Dept. “Matematica per le Decisioni”, University of Florence.
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M. Frittelli (2000)
Optimal solutions to utility maximization and to the dual problem,
Technical Report  #24,  Dept. “Metodi Quantitativi S.E.A.”, University of Milano - Bicocca.
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M. Frittelli (2000)
Representing sublinear risk measures and pricing rules,
Technical Report  #10, Dept. “Metodi Quantitativi S.E.A.”, University of Milano - Bicocca.
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M. Frittelli (2000)
Solution to primal and dual entropy optimization problems,
Technical Report #9, Dept. “Metodi Quantitativi S.E.A.”, University of Milano - Bicocca.
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F. Bellini and M. Frittelli (1997)
Certainty equivalent and no arbitrage: a reconciliation via duality theory,
Technical Report # 139, Dept. “Metodi Quantitativi”, University of Brescia.
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M. Frittelli (1996) - First version.
The minimal entropy martingale measure and the valuation problem in incomplete markets
Technical Report # 20
, Dept. of Mathematics, University of Milano.
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M. Frittelli and P. Lakner (1996)
Counterexamples for the existence of the minimal entropy martingale probability,
Technical Report # 115, Dept. “Metodi Quantitativi”, University of Brescia.
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M. Frittelli (1995)
Minimal entropy criterion for pricing in one period incomplete markets,
Technical Report # 99, Dept. “Metodi Quantitativi”, University of Brescia.
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