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A quantitative check of weak efficiency in US dollar/German mark exchange rates is developed using high frequency data. We show the existence of long term return anomalies. We introduce a technique to measure the available information and…

Disordered Systems and Neural Networks · Physics 2008-12-02 R. Baviera , M. Pasquini , M. Serva , D. Vergni , A. Vulpiani

For some weighted $NP$-complete problems, checking whether a proposed solution is optimal is a non-trivial task. Such is the case for the celebrated traveling salesman problem, or the spin-glass problem in 3 dimensions. In this letter, we…

Statistical Mechanics · Physics 2007-05-23 Henri Orland , Michel Bauer

Advances in computational optimization allow for the organization of large combinatorial markets. We aim for allocations and competitive equilibrium prices, i.e. outcomes that are in the core. The research is motivated by the design of…

Computer Science and Game Theory · Computer Science 2018-07-24 Martin Bichler , Stefan Waldherr

The smart grid vision entails advanced information technology and data analytics to enhance the efficiency, sustainability, and economics of the power grid infrastructure. Aligned to this end, modern statistical learning tools are leveraged…

Machine Learning · Statistics 2015-06-17 Vassilis Kekatos , Yu Zhang , Georgios B. Giannakis

The modelling of financial markets presents a problem which is both theoretically challenging and practically important. The theoretical aspects concern the issue of market efficiency which may even have political implications…

Statistical Mechanics · Physics 2016-08-31 Kirill N. Ilinski , Alexander S. Stepanenko

This paper studies Markov perfect equilibria in a repeated duopoly model where sellers choose algorithms. An algorithm is a mapping from the competitor's price to own price. Once set, algorithms respond quickly. Customers arrive randomly…

Theoretical Economics · Economics 2022-07-04 Rohit Lamba , Sergey Zhuk

In this comment we discuss the problem of reconciling the linear efficiency of price returns with the long-memory of supply and demand. We present new evidence that shows that efficiency is maintained by a liquidity imbalance that co-moves…

Physics and Society · Physics 2008-12-02 J. Doyne Farmer , Austin Gerig , Fabrizio Lillo , Szabolcs Mike

We consider markets consisting of a set of indivisible items, and buyers that have {\em sharp} multi-unit demand. This means that each buyer $i$ wants a specific number $d_i$ of items; a bundle of size less than $d_i$ has no value, while a…

Computer Science and Game Theory · Computer Science 2015-03-13 Ning Chen , Xiaotie Deng , Paul. W. Goldberg , Jinshan Zhang

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

The maximization of submodular functions is an NP-Hard problem for certain subclasses of functions, for which a simple greedy algorithm has been shown to guarantee a solution whose quality is within 1/2 of the optimal. When this algorithm…

Data Structures and Algorithms · Computer Science 2019-01-11 David Grimsman , Mohd. Shabbir Ali , João P. Hespanha , Jason R. Marden

The network pricing problem (NPP) is a bilevel problem, where the leader optimizes its revenue by deciding on the prices of certain arcs in a graph, while expecting the followers (also known as the commodities) to choose a shortest path…

Optimization and Control · Mathematics 2024-01-31 Quang Minh Bui , Margarida Carvalho , José Neto

Prices in financial markets exhibit extreme jumps far more often than can be accounted for by external news. Further, magnitudes of price changes are correlated over long times. These so called stylized facts are quantified by scaling laws…

Trading and Market Microstructure · Quantitative Finance 2016-05-04 Felix Patzelt , Klaus Pawelzik

Market price systems constitute a well-understood class of mechanisms that under certain conditions provide effective decentralization of decision making with minimal communication overhead. In a market-oriented programming approach to…

Artificial Intelligence · Computer Science 2008-02-03 M. P. Wellman

Qualitative numerical planning is classical planning extended with non-negative real variables that can be increased or decreased "qualitatively", i.e., by positive indeterminate amounts. While deterministic planning with numerical…

Artificial Intelligence · Computer Science 2020-11-30 Blai Bonet , Hector Geffner

We prove that the problem of computing an Arrow-Debreu market equilibrium is PPAD-complete even when all traders use additively separable, piecewise-linear and concave utility functions. In fact, our proof shows that this market-equilibrium…

Computational Complexity · Computer Science 2009-04-07 Xi Chen , Decheng Dai , Ye Du , Shang-Hua Teng

Motivated by the prevalence of prediction problems in the economy, we study markets in which firms sell models to a consumer to help improve their prediction. Firms decide whether to enter, choose models to train on their data, and set…

Theoretical Economics · Economics 2025-10-10 Krishna Dasaratha , Juan Ortner , Chengyang Zhu

In this work we introduce the notion of fully incomplete markets. We prove that for these markets the super-replication price coincide with the model free super-replication price. Namely, the knowledge of the model does not reduce the…

Mathematical Finance · Quantitative Finance 2016-09-13 Yan Dolinsky , Ariel Neufeld

This paper addresses a novel data science problem, prescriptive price optimization, which derives the optimal price strategy to maximize future profit/revenue on the basis of massive predictive formulas produced by machine learning. The…

Optimization and Control · Mathematics 2016-05-25 Shinji Ito , Ryohei Fujimaki

We discuss the efficient computation of performance, reliability, and availability measures for Markov chains; these metrics, and the ones obtained by combining them, are often called performability measures. We show that this computational…

Numerical Analysis · Mathematics 2019-10-11 Giulio Masetti , Leonardo Robol

Generalized empirical likelihood and generalized method of moments are well spread methods of resolution of inverse problems in econometrics. Each method defines a specific semiparametric model for which it is possible to calculate…

Statistics Theory · Mathematics 2010-11-24 Paul Rochet