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We study the behavior of simple models for financial markets with widely spread frequency either in the trading activity of agents or in the occurrence of basic events. The generic picture of a phase transition between information efficient…

Statistical Mechanics · Physics 2009-11-07 Matteo Marsili , Maurizio Piai

We study information elicitation in cost-function-based combinatorial prediction markets when the market maker's utility for information decreases over time. In the sudden revelation setting, it is known that some piece of information will…

Computer Science and Game Theory · Computer Science 2014-07-31 Miroslav Dudík , Rafael Frongillo , Jennifer Wortman Vaughan

We consider the problem of utility maximization for small traders on incomplete financial markets. As opposed to most of the papers dealing with this subject, the investors' trading strategies we allow underly constraints described by…

Probability · Mathematics 2008-12-10 Ying Hu , Peter Imkeller , Matthias Muller

Risk-neutral pricing dictates that the discounted derivative price is a martingale in a measure equivalent to the economic measure. The residual ambiguity for incomplete markets is here resolved by minimising the entropy of the price…

Mathematical Finance · Quantitative Finance 2020-07-01 Paul McCloud

We examine the dynamics of informational efficiency in a market with asymmetrically informed, boundedly rational traders who adaptively learn optimal strategies using simple multiarmed bandit (MAB) algorithms. The strategies available to…

Theoretical Economics · Economics 2024-11-11 Aleksei Pastushkov

A seller offers an asset in a decentralised market. Buyers have private signals about their common value. I study whether the market becomes allocatively more efficient with (i) more buyers, (ii) better-informed buyers. Both increase the…

Theoretical Economics · Economics 2025-08-04 D. Carlos Akkar

Information is replicable in that it can be simultaneously consumed and sold to others. We study how resale affects a decentralized market for information. We show that even if the initial seller is an informational monopolist, she captures…

Computer Science and Game Theory · Computer Science 2022-12-06 S. Nageeb Ali , Ayal Chen-Zion , Erik Lillethun

I prove that if markets are weak-form efficient, meaning current prices fully reflect all information available in past prices, then P = NP, meaning every computational problem whose solution can be verified in polynomial time can also be…

General Finance · Quantitative Finance 2010-05-14 Philip Maymin

No-arbitrage asset pricing characterizes valuation through the existence of equivalent martingale measures relative to a filtration and a class of admissible trading strategies. In practice, pricing is performed across multiple asset…

Mathematical Finance · Quantitative Finance 2026-01-21 Alejandro Rodriguez Dominguez

Since the 1960s, the question whether markets are efficient or not is controversially discussed. One reason for the difficulty to overcome the controversy is the lack of a universal, but also precise, quantitative definition of efficiency…

General Finance · Quantitative Finance 2018-12-10 Roland Rothenstein

Prediction markets are powerful tools to elicit and aggregate beliefs from strategic agents. However, in current prediction markets, agents may exhaust the social welfare by competing to be the first to update the market. We initiate the…

Computer Science and Game Theory · Computer Science 2021-03-09 Grant Schoenebeck , Chenkai Yu , Fang-Yi Yu

We consider a viable market model. Suppose that new information arrives at the market. We are interested in modeling the market reaction facing to the change of information. In particular we seek for the limit on the intensity of…

Probability · Mathematics 2012-07-09 Shiqi Song

Before the massive spread of computer technology, information was far from complex. The development of technology shifted the paradigm: from individuals who faced scarce and costly information to individuals who face massive amounts of…

Statistical Finance · Quantitative Finance 2020-10-26 Giuseppe Pernagallo , Benedetto Torrisi

Resource-constrained systems are prevalent in communications. Such a system is composed of many components but only some of them can be allocated with resources such as time slots. According to the amount of information about the system,…

Information Theory · Computer Science 2014-04-02 Albert Y. S. Lam , Yanhui Geng , Victor O. K. Li

Empirical evidence suggests that even the most competitive markets are not strictly efficient. Price histories can be used to predict near future returns with a probability better than random chance. Many markets can be considered as {\it…

Statistical Mechanics · Physics 2009-10-31 Yi-Cheng Zhang

This paper presents a stochastic model for discrete-time trading in financial markets where trading costs are given by convex cost functions and portfolios are constrained by convex sets. The model does not assume the existence of a cash…

Pricing of Securities · Quantitative Finance 2010-06-24 Teemu Pennanen

We develop a stochastic equilibrium model for an electricity market with asymmetric renewable energy forecasts. In our setting, market participants optimize their profits using public information about a conditional expectation of energy…

Optimization and Control · Mathematics 2020-05-26 Vladimir Dvorkin , Jalal Kazempour , Pierre Pinson

We consider the pricing problem facing a seller of a contingent claim. We assume that this seller has some general level of partial information, and that he is not allowed to sell short in certain assets. This pricing problem, which is our…

Mathematical Finance · Quantitative Finance 2019-02-28 Kristina Rognlien Dahl

The efficient market hypothesis (EMH) famously stated that prices fully reflect the information available to traders. This critically depends on the transfer of information into prices through trading strategies. Traders optimise their…

Mathematical Finance · Quantitative Finance 2025-01-14 Paolo Barucca , Flaviano Morone

We consider the mean-variance hedging problem under partial information in the case where the flow of observable events does not contain the full information on the underlying asset price process. We introduce a martingale equation of a new…

Pricing of Securities · Quantitative Finance 2008-12-02 M. Mania , R. Tevzadze , T. Toronjadze