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We consider a discrete-time robust utility maximisation with semistatic strategies, and the associated indifference prices of exotic options. For this purpose, we introduce a robust form of convex integral functionals on the space of…

Functional Analysis · Mathematics 2024-03-01 Keita Owari

This paper studies convex duality in optimal investment and contingent claim valuation in markets where traded assets may be subject to nonlinear trading costs and portfolio constraints. Under fairly general conditions, the dual expressions…

Mathematical Finance · Quantitative Finance 2016-03-10 Teemu Pennanen , Ari-Pekka Perkkiö

Recent results, establishing evidence of intractability for such restrictive utility functions as additively separable, piecewise-linear and concave, under both Fisher and Arrow-Debreu market models, have prompted the question of whether we…

Computer Science and Game Theory · Computer Science 2010-10-21 Vijay V. Vazirani

We study the power and limitations of posted prices in multi-unit markets, where agents arrive sequentially in an arbitrary order. We prove upper and lower bounds on the largest fraction of the optimal social welfare that can be guaranteed…

Computer Science and Game Theory · Computer Science 2020-02-18 Tomer Ezra , Michal Feldman , Tim Roughgarden , Warut Suksompong

Financial markets based on L\'evy processes are typically incomplete and option prices depend on risk attitudes of individual agents. In this context, the notion of utility indifference price has gained popularity in the academic circles.…

Pricing of Securities · Quantitative Finance 2015-02-24 Clément Ménassé , Peter Tankov

Prediction markets are long known for prediction accuracy. This study systematically explores the fundamental properties of prediction markets, addressing questions about their information aggregation process and the factors contributing to…

Trading and Market Microstructure · Quantitative Finance 2023-11-10 Dian Yu , Jianjun Gao , Weiping Wu , Zizhuo Wang

This paper considers exponential utility indifference pricing for a multidimensional non-traded assets model, and provides two linear approximations for the utility indifference price. The key tool is a probabilistic representation for the…

Portfolio Management · Quantitative Finance 2014-04-01 Vicky Henderson , Gechun Liang

We study utility indifference prices and optimal purchasing quantities for a contingent claim, in an incomplete semi-martingale market, in the presence of vanishing hedging errors and/or risk aversion. Assuming that the average indifference…

Mathematical Finance · Quantitative Finance 2016-09-23 Michail Anthropelos , Scott Robertson , Konstantinos Spiliopoulos

The products of weak values of quantum observables are shown to be of value in deriving quantum uncertainty and complementarity relations, for both weak and strong measurement statistics. First, a 'product representation formula' allows the…

Quantum Physics · Physics 2016-06-08 Michael J. W. Hall , Arun Kumar Pati , Junde Wu

We develop a nonparametric approach to identify and estimate consumer preferences and unobserved heterogeneity under nonlinear price schedules. Leveraging variation across multiple price schedules, we show that both the utility function and…

Econometrics · Economics 2026-04-29 Samuele Centorrino , Frédérique Fève , Jean-Pierre Florens

Recent literature in the last Maximum Entropy workshop introduced an analogy between cumulative probability distributions and normalized utility functions. Based on this analogy, a utility density function can de defined as the derivative…

Artificial Intelligence · Computer Science 2009-11-10 Ali E. Abbas

In the context of an incomplete market with a Brownian filtration and a fixed finite time horizon, this paper proves that for general dynamic convex risk measures, the buyer's and seller's risk indifference prices of a contingent claim are…

Pricing of Securities · Quantitative Finance 2010-09-08 Xavier De Scheemaekere

We study utility indifference prices and optimal purchasing quantities for a non-traded contingent claim in an incomplete semi-martingale market with vanishing hedging errors. We make connections with the theory of large deviations. We…

Probability · Mathematics 2016-02-12 Scott Robertson , Konstantinos Spiliopoulos

In environments with increasing uncertainty, such as smart grid applications based on renewable energy, planning can benefit from incorporating forecasts about the uncertainty and from systematically evaluating the utility of the forecast…

Optimization and Control · Mathematics 2015-03-16 Konstantinos Gatsis , Ufuk Topcu , George J. Pappas

We consider a package assignment problem with multiple units of indivisible items. The seller can specify preferences over partitions of their supply between buyers as packaging costs. We propose incremental costs together with a graph that…

Theoretical Economics · Economics 2025-07-08 Simon Finster

Stability of the utility maximization problem with random endowment and indifference prices is studied for a sequence of financial markets in an incomplete Brownian setting. Our novelty lies in the nonequivalence of markets, in which the…

Portfolio Management · Quantitative Finance 2015-06-25 Kim Weston

Recovering and distinguishing between the strict-preference, indifference and/or indecisiveness parts of a decision maker's preferences is a challenging task but also important for testing theory and conducting welfare analysis. This paper…

Theoretical Economics · Economics 2025-09-15 Georgios Gerasimou

We study a continuous-time expected utility maximization problem in which the investor at maturity receives the value of a contingent claim in addition to the investment payoff from the financial market. The investor knows nothing about the…

Mathematical Finance · Quantitative Finance 2023-07-17 Yunhong Li , Zuo Quan Xu , Xun Yu Zhou

We construct an utility-based dynamic asset pricing model for a limit order market. The price is nonlinear in volume and subject to market impact. We solve an optimal hedging problem under the market impact and derive the dynamics of the…

Pricing of Securities · Quantitative Finance 2014-10-31 Masaaki Fukasawa

The sum-utility maximization problem is known to be important in the energy systems literature. The conventional assumption to address this problem is that the utility is concave. But for some key applications, such an assumption is not…

Computer Science and Game Theory · Computer Science 2021-12-07 Chao Zhang , Samson Lasaulce , Li Wang , Lucas Saludjian , H. Vincent Poor