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Algorithmic Mechanism Design attempts to marry computation and incentives, mainly by leveraging monetary transfers between designer and selfish agents involved. This is principally because in absence of money, very little can be done to…

Computer Science and Game Theory · Computer Science 2013-10-02 Dimitris Fotakis , Piotr Krysta , Carmine Ventre

In this paper we introduce a new approach to model-free path-dependent option pricing. We first introduce a general duality result for linear optimisation problems over signed measures introduced in [3] and show how the the problem of…

Pricing of Securities · Quantitative Finance 2015-01-16 Raphael Hauser , Sergey Shahverdyan

An investor with constant relative risk aversion and an infinite planning horizon trades a risky and a safe asset with constant investment opportunities, in the presence of small transaction costs and a binding exogenous portfolio…

Portfolio Management · Quantitative Finance 2013-01-09 Johannes Muhle-Karbe , Ren Liu

We present a methodology for representing probabilistic relationships in a general-equilibrium economic model. Specifically, we define a precise mapping from a Bayesian network with binary nodes to a market price system where consumers and…

Computer Science and Game Theory · Computer Science 2013-02-18 David M. Pennock , Michael P. Wellman

We study an American option pricing problem with liquidity risks and transaction fees. As endogenous transaction costs, liquidity risks of the underlying asset are modeled by a mean-reverting process. Transaction fees are exogenous…

Mathematical Finance · Quantitative Finance 2025-09-08 Dong Yan , Xin-Jie Huang , Guiyuan Ma , Xin-Jiang He

This paper studies the equilibrium price of an asset that is traded in continuous time between N agents who have heterogeneous beliefs about the state process underlying the asset's payoff. We propose a tractable model where agents maximize…

Mathematical Finance · Quantitative Finance 2020-03-26 Johannes Muhle-Karbe , Marcel Nutz , Xiaowei Tan

Decentralized exchanges using automated market makers create arbitrage opportunities with centralized exchanges, where gas fees and transaction ordering are critical. Existing models largely overlook competition among arbitrageurs, despite…

Mathematical Finance · Quantitative Finance 2026-02-27 Xue Dong He , Chen Yang , Yutian Zhou

We study superhedging of contingent claims with physical delivery in a discrete-time market model with convex transaction costs. Our model extends Kabanov's currency market model by allowing for nonlinear illiquidity effects. We show that…

Pricing of Securities · Quantitative Finance 2008-12-02 Teemu Pennanen , Irina Penner

We consider a generic market model with a single stock and with random volatility. We assume that there is a number of tradable options for that stock with different strike prices. The paper states the problem of finding a pricing rule that…

Probability · Mathematics 2008-12-02 Nikolai Dokuchaev

We study the most famous example of a large financial market: the Arbitrage Pricing Model, where investors can trade in a one-period setting with countably many assets admitting a factor structure. We consider the problem of maximising…

Portfolio Management · Quantitative Finance 2020-10-06 Laurence Carassus , Miklos Rasonyi

It is known from previous work of the authors that non-negative arbitrage free price processes in finance can be described in terms of filtered likelihood processes of statistical experiments and vice versa. The present paper summarizes and…

Probability · Mathematics 2014-08-27 Arnold Janssen , Martin Tietje

I construct a novel random double auction as a robust bilateral trading mechanism for a profit-maximizing intermediary who facilitates trade between a buyer and a seller. It works as follows. The intermediary publicly commits to charging a…

Theoretical Economics · Economics 2022-05-11 Wanchang Zhang

We consider arbitrage free valuation of European options in Black-Scholes and Merton markets, where the general structure of the market is known, however the specific parameters are not known. In order to reflect this subjective uncertainty…

Mathematical Finance · Quantitative Finance 2017-01-13 Hanno Gottschalk , Elpida Nizami , Marius Schubert

Recently, incomplete-market techniques have been used to develop a model applicable to credit default swaps (CDSs) with results obtained that are quite different from those obtained using the market-standard model. This article makes use of…

Pricing of Securities · Quantitative Finance 2014-03-11 Michael B. Walker

Motivated by the practical challenge in monitoring the performance of a large number of algorithmic trading orders, this paper provides a methodology that leads to automatic discovery of the causes that lie behind a poor trading…

Trading and Market Microstructure · Quantitative Finance 2013-03-04 Robert Azencott , Arjun Beri , Yutheeka Gadhyan , Nicolas Joseph , Charles-Albert Lehalle , Matthew Rowley

The objective of this paper is to provide a comprehensive study no-arbitrage pricing of financial derivatives in the presence of funding costs, the counterparty credit risk and market frictions affecting the trading mechanism, such as…

Mathematical Finance · Quantitative Finance 2018-04-11 Tomasz R. Bielecki , Igor Cialenco , Marek Rutkowski

For utility maximization problems under proportional transaction costs, it has been observed that the original market with transaction costs can sometimes be replaced by a frictionless "shadow market" that yields the same optimal strategy…

Portfolio Management · Quantitative Finance 2013-01-09 Giuseppe Benedetti , Luciano Campi , Jan Kallsen , Johannes Muhle-Karbe

In this study, we consider the asset pricing under model uncertainty with discrete time and states structure. For the single-period securities model, we give a novel definition of arbitrage under a family of probability, and explore of its…

Mathematical Finance · Quantitative Finance 2025-12-25 Shuzhen Yang , Wenqing Zhang

We reconsider the microeconomic foundations of financial economics. Motivated by the importance of Knightian Uncertainty in markets, we present a model that does not carry any probabilistic structure ex ante, yet is based on a common order.…

Economics · Quantitative Finance 2021-01-25 Matteo Burzoni , Frank Riedel , H. Mete Soner

Randomized higher-order computation can be seen as being captured by a lambda calculus endowed with a single algebraic operation, namely a construct for binary probabilistic choice. What matters about such computations is the probability of…

Logic in Computer Science · Computer Science 2020-12-24 Ugo Dal Lago , Claudia Faggian , Simona Ronchi Della Rocca
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