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The friendship paradox -- the observation that, on average, one's friends have more friends than oneself -- admits two common formulations depending on whether averaging is performed over edges or over nodes. These two definitions, the…

Physics and Society · Physics 2026-04-22 Sang Hoon Lee

Decisions taken in our everyday lives are based on a wide variety of information so it is generally very difficult to assess what are the strategies that guide us. Stock market therefore provides a rich environment to study how people take…

General Finance · Quantitative Finance 2016-09-28 Mario Gutiérrez-Roig , Carlota Segura , Jordi Duch , Josep Perelló

Recently, we introduced in arXiv:1105.2434 a model for product adoption in social networks with multiple products, where the agents, influenced by their neighbours, can adopt one out of several alternatives. We identify and analyze here…

Computer Science and Game Theory · Computer Science 2013-05-29 Krzysztof R. Apt , Evangelos Markakis , Sunil Simon

We conduct an incentivized experiment on a nationally representative US sample \\ (N=708) to test whether people prefer to avoid ambiguity even when it means choosing dominated options. In contrast to the literature, we find that 55\% of…

Theoretical Economics · Economics 2022-11-22 Brian Jabarian , Simon Lazarus

We study a repeated information design problem faced by an informed sender who tries to influence the behavior of a self-interested receiver. We consider settings where the receiver faces a sequential decision making (SDM) problem. At each…

Machine Learning · Computer Science 2022-09-09 Martino Bernasconi , Matteo Castiglioni , Alberto Marchesi , Nicola Gatti , Francesco Trovo

In this paper, we provide theoretical and empirical estimates for the likelihood of a negative participation paradox under instant runoff voting in three-candidate elections. We determine the probability of the paradox and related…

Physics and Society · Physics 2024-10-24 David McCune , Jennifer Wilson

Moores Paradox is a test case for any formal theory of belief. In Knowledge and Belief, Hintikka developed a multimodal logic for statements that express sentences containing the epistemic notions of knowledge and belief. His account…

Logic in Computer Science · Computer Science 2020-06-23 Andrés Páez

Riddles are concise linguistic puzzles that describe an object or idea through indirect, figurative, or playful clues. They are a longstanding form of creative expression, requiring the solver to interpret hints, recognize patterns, and…

Computation and Language · Computer Science 2026-01-28 Niharika Sri Parasa , Chaitali Diwan , Srinath Srinivasa

The Parrondo's paradox is a counterintuitive phenomenon where individually-losing strategies can be combined in producing a winning expectation. In this paper, the issues surrounding the Parrondo's paradox are investigated. The focus is…

Computer Science and Game Theory · Computer Science 2014-03-24 Jian-Jun Shu , Qi-Wen Wang

When a student is asked to perform a given task, her subjective estimate of the difficulty of that task has a strong influence on her performance. There exists a rich literature on the impact of perceived task difficulty on performance and…

Human-Computer Interaction · Computer Science 2022-01-14 Yitzhak Spielberg , Amos Azaria

Motivated by certain applications from physics, biochemistry, economics, and computer science, in which the objects under investigation are not accessible because of various limitations, we propose a trial-and-error model to examine…

Computational Complexity · Computer Science 2013-04-19 Xiaohui Bei , Ning Chen , Shengyu Zhang

Riddle-solving requires advanced reasoning skills, pushing LLMs to engage in abstract thinking and creative problem-solving, often revealing limitations in their cognitive abilities. In this paper, we examine the riddle-solving capabilities…

Computation and Language · Computer Science 2024-12-18 Ioannis Panagiotopoulos , Giorgos Filandrianos , Maria Lymperaiou , Giorgos Stamou

The remaining travel time of a plane shortens with every minute that passes from its departure, and a flame diminishes a candle with every second it burns. Such everyday occurrences bias us to think that processes which have already begun…

Statistical Mechanics · Physics 2023-04-12 Arnab Pal , Sarah Kostinski , Shlomi Reuveni

Given two sources of evidence about a latent variable, one can combine the information from both by multiplying the likelihoods of each piece of evidence. However, when one or both of the observation models are misspecified, the…

Machine Learning · Computer Science 2021-03-24 Dmitrii Krasheninnikov , Rohin Shah , Herke van Hoof

Humanity has been fascinated by the pursuit of fortune since time immemorial, and many successful outcomes benefit from strokes of luck. But success is subject to complexity, uncertainty, and change - and at times becoming increasingly…

General Economics · Economics 2019-04-19 Didier Sornette , Spencer Wheatley , Peter Cauwels

The frog model starts with one active particle at the root of a graph and some number of dormant particles at all nonroot vertices. Active particles follow independent random paths, waking all inactive particles they encounter. We prove…

Probability · Mathematics 2019-09-25 Tobias Johnson , Matthew Junge

We study an ensemble of individuals playing the two games of the so-called Parrondo paradox. In our study, players are allowed to choose the game to be played by the whole ensemble in each turn. The choice cannot conform to the preferences…

Physics and Society · Physics 2016-08-10 J. M. R. Parrondo , L. Dinis , E. García-Toraño , B. Sotillo

Observational data about human behavior is often heterogeneous, i.e., generated by subgroups within the population under study that vary in size and behavior. Heterogeneity predisposes analysis to Simpson's paradox, whereby the trends…

Social and Information Networks · Computer Science 2022-12-16 Kristina Lerman

We consider an observational learning model with exogenous public payoff shock. We show that confounded learning doesn't arise for almost all private signals and almost all shocks, even if players have sufficiently divergent preferences.

Theoretical Economics · Economics 2021-06-16 Xuanye Wang

Bertrand's paradox is a famous problem of probability theory, pointing to a possible inconsistency in Laplace's principle of insufficient reason. In this article we show that Bertrand's paradox contains two different problems: an "easy"…

History and Philosophy of Physics · Physics 2015-10-19 Diederik Aerts , Massimiliano Sassoli de Bianchi