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Consider an arbitrary set $S$ and an arbitrary function $f : \mathbb{R} \to S$. We think of the domain of $f$ as representing time, and for each $x \in \mathbb{R}$, we think of $f(x)$ as the state of some system at time $x$. Imagine that,…

Logic · Mathematics 2015-08-28 Dvij Bajpai , Daniel J. Velleman

Knowledge acquisition by consumers is a key process in the diffusion of innovations. However, in standard theories of the representative agent, agents do not learn and innovations are adopted instantaneously. Here, we show that in a…

Economics · Quantitative Finance 2018-07-02 Jean-Francois Mercure

When a language model generates text, the selection of individual tokens might lead it down very different reasoning paths, making uncertainty difficult to quantify. In this work, we consider whether reasoning language models represent the…

Computation and Language · Computer Science 2025-11-07 Amir Zur , Atticus Geiger , Ekdeep Singh Lubana , Eric Bigelow

There is a consensus that human and non-human subjects experience temporal distortions in many stages of their perceptual and decision-making systems. Similarly, intertemporal choice research has shown that decision-makers undervalue future…

Neurons and Cognition · Quantitative Biology 2016-05-31 Pedro A. Ortega , Naftali Tishby

We study Markov decision problems where the agent does not know the transition probability function mapping current states and actions to future states. The agent has a prior belief over a set of possible transition functions and updates…

Economics · Quantitative Finance 2018-01-04 Ignacio Esponda , Demian Pouzo

In formal epistemology, group knowledge is often modelled as the knowledge that the group would have, if the agents shared all their individual knowledge. However, this interpretation does not account for relations between agents. In this…

Logic in Computer Science · Computer Science 2024-03-28 Christian Cachin , David Lehnherr , Thomas Studer

Optimization equips engineers and scientists in a variety of fields with the ability to transcribe their problems into a generic formulation and receive optimal solutions with relative ease. Industries ranging from aerospace to robotics…

Artificial Intelligence · Computer Science 2022-12-05 Keivan Shariatmadar , Kaizheng Wang , Calvin R. Hubbard , Hans Hallez , David Moens

We address an ambiguity in identification strategies using difference-in-differences, which are widely applied in empirical research, particularly in economics. The assumption commonly referred to as the "no-anticipation assumption" states…

Methodology · Statistics 2025-09-23 Marco Piccininni , Eric J. Tchetgen Tchetgen , Mats J. Stensrud

Recent work has considered theoretical models for the behavior of agents with specific behavioral biases: rather than making decisions that optimize a given payoff function, the agent behaves inefficiently because its decisions suffer from…

Computer Science and Game Theory · Computer Science 2017-06-06 Jon Kleinberg , Sigal Oren , Manish Raghavan

We propose a game-theoretic framework that incorporates both incomplete information and general ambiguity attitudes on factors external to all players. Our starting point is players' preferences on payoff-distribution vectors, essentially…

Economics · Quantitative Finance 2017-04-04 Jian Yang

We implement nonparametric revealed-preference tests of subjective expected utility theory and its generalizations. We find that a majority of subjects' choices are consistent with the maximization of some utility function. They respond to…

General Economics · Economics 2021-05-04 Federico Echenique , Taisuke Imai , Kota Saito

The effect of undecided agents is studied within populations in an opinion-forming dynamic, varying the number of undecided agents for different proportions of populations in a complete opinion-exchange network. The result is that the…

Physics and Society · Physics 2021-06-23 Victor H. Blanco , Verónica Calderón

Unaided human decision making appears to systematically violate consistency constraints imposed by normative theories; these biases in turn appear to justify the application of formal decision-analytic models. It is argued that both claims…

Artificial Intelligence · Computer Science 2013-04-08 Marvin S. Cohen

There are many ways we can not know. Even in systems that we created ourselves, as, for example, systems in mathematical logic, Go\"edel and Tarski's theorems impose limits on what we can know. As we try to speak of the real world, things…

History and Philosophy of Physics · Physics 2020-06-04 André C. R. Martins

Negation and uncertainty modeling are long-standing tasks in natural language processing. Linguistic theory postulates that expressions of negation and uncertainty are semantically independent from each other and the content they modify.…

Computation and Language · Computer Science 2022-04-04 Jake Vasilakes , Chrysoula Zerva , Makoto Miwa , Sophia Ananiadou

A simple framework for reasoning under uncertainty and intervention is introduced. This is achieved in three steps. First, logic is restated in set-theoretic terms to obtain a framework for reasoning under certainty. Second, this framework…

Statistics Theory · Mathematics 2010-08-18 Pedro A. Ortega

It is shown that absence of arbitrage opportunity in financial markets is a particular case of existence of uncertainty in decision system. Absence of arbitrage opportunity is considered in the sense of the Arrow-Debreu model of financial…

General Finance · Quantitative Finance 2013-07-23 Yaroslav Ivanenko , Illya Pasichnichenko

We study a large economy in which firms cannot compute exact solutions to the non-linear equations that characterize the equilibrium price at which they can sell future output. Instead, firms use polynomial expansions to approximate prices.…

Economics · Quantitative Finance 2016-11-08 Wolfgang Kuhle

We present a risk-aware formalism for evaluating system trajectories in the presence of uncertain interactions between the system and its environment. The proposed formalism supports reasoning under uncertainty and systematically handles…

Systems and Control · Electrical Eng. & Systems 2026-04-28 Tichakorn Wongpiromsarn

In this paper, we propose a novel approach for data-driven decision-making under uncertainty in the presence of contextual information. Given a finite collection of observations of the uncertain parameters and potential explanatory…

Optimization and Control · Mathematics 2021-09-20 Miguel Angel Muñoz , Salvador Pineda , Juan Miguel Morales