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We study the design of voting rules in the metric distortion framework. It is known that any deterministic rule suffers distortion of at least $3$, and that randomized rules can achieve distortion strictly less than $3$, often at the cost…

Computer Science and Game Theory · Computer Science 2026-02-10 Ziyi Cai , D. D. Gao , Prasanna Ramakrishnan , Kangning Wang

This paper introduces a new technique for learning probabilistic models of mass and friction distributions of unknown objects, and performing robust sliding actions by using the learned models. The proposed method is executed in two…

Robotics · Computer Science 2020-08-06 Changkyu Song , Abdeslam Boularias

A succesful method to describe the asymptotic behavior of a discrete time stochastic process governed by some recursive formula is to relate it to the limit sets of a well chosen mean differential equation. Under an attainability condition,…

Probability · Mathematics 2011-01-19 Mathieu Faure , Gregory Roth

This research explores a relatively unexplored area of predicting cryptocurrency staking rewards, offering potential insights to researchers and investors. We investigate two predictive methodologies: a) a straightforward sliding-window…

Statistical Finance · Quantitative Finance 2024-01-23 Sauren Gupta , Apoorva Hathi Katharaki , Yifan Xu , Bhaskar Krishnamachari , Rajarshi Gupta

According to recent empirical studies, the group draw of major sports tournaments can imply a high level of uncertainty, and some lucky teams enjoy an unfair advantage over the other teams. We propose a novel technique to quantify this draw…

Quantitative measures of randomness in games are useful for game design and have implications for gambling law. We treat the outcome of a game as a random variable and derive a closed-form expression and estimator for the variance in the…

Other Statistics · Statistics 2020-09-11 Alex Cloud , Eric Laber

In repeated-game applications where both the collusive and non-collusive outcomes can be supported as equilibria, researchers must resolve underlying selection questions if theory will be used to understand counterfactual policies. One…

General Economics · Economics 2021-01-18 Emanuel Vespa , Taylor Weidman , Alistair J. Wilson

Lotteries are a prevalent form of gambling between a seller and buyers. Designing a lottery requires a model of how buyers make decisions when confronted with uncertain outcomes. Cumulative prospect theory (CPT) is a descriptive model that…

Computer Science and Game Theory · Computer Science 2026-05-20 Shunta Akiyama , Mitsuaki Obara , Yasushi Kawase

Cricket is unarguably one of the most popular sports in the world. Predicting the outcome of a cricket match has become a fundamental problem as we are advancing in the field of machine learning. Multiple researchers have tried to predict…

Artificial Intelligence · Computer Science 2021-08-24 Harsh Mittal , Deepak Rikhari , Jitendra Kumar , Ashutosh Kumar Singh

In this paper we focus on the beneficial role of random strategies in social sciences by means of simple mathematical and computational models. We briefly review recent results obtained by two of us in previous contributions for the case of…

Physics and Society · Physics 2014-05-22 Alessio Emanuele Biondo , Alessandro Pluchino , Andrea Rapisarda

Most analyses of manipulation of voting schemes have adopted two assumptions that greatly diminish their practical import. First, it is usually assumed that the manipulators have full knowledge of the votes of the nonmanipulating agents.…

Computer Science and Game Theory · Computer Science 2012-10-19 Tyler Lu , Pingzhong Tang , Ariel D. Procaccia , Craig Boutilier

Predicting the winner of an election is a favorite problem both for news media pundits and computational social choice theorists. Since it is often infeasible to elicit the preferences of all the voters in a typical prediction scenario, a…

Data Structures and Algorithms · Computer Science 2016-04-21 Arnab Bhattacharyya , Palash Dey

We introduce preferential behavior into the study on statistical mechanics of money circulation. The computer simulation results show that the preferential behavior can lead to power laws on distributions over both holding time and amount…

Physics and Society · Physics 2009-11-11 Ning Ding , Yougui Wang

The systematic biases seen in people's probability judgments are typically taken as evidence that people do not reason about probability using the rules of probability theory, but instead use heuristics which sometimes yield reasonable…

Data Analysis, Statistics and Probability · Physics 2014-05-01 Fintan Costello , Paul Watts

Game theory is the study of tractable games which may be used to model more complex systems. Board games, video games and sports, however, are intractable by design, so "ludological" theories about these games as complex phenomena should be…

Applications · Statistics 2018-11-05 Daniel E. Gilbert , Martin T. Wells

The problem of creating a three-sided dice with the probability of it landing on each of its sides being equal to 1/3 has been around for many years. Various approaches have been attempted, but as different authors achieved at different…

Dynamical Systems · Mathematics 2024-01-09 Anton Gaek , Artem Sukhov

From the standpoint of game theory, dominoes is a game that has not received much attention (specially the variety known as draw). It is usually thought that this game is already solved, given general results in game theory. However, the…

Computer Science and Game Theory · Computer Science 2013-10-28 Eduardo Espinosa-Avila , Francisco Hernandez-Quiroz

In economy, markets are denoted as efficient when it is impossible to systematically generate profits which outperform the average. In the past years, the concept has been tested in other domains such as the growing sports betting market.…

Physics and Society · Physics 2023-03-30 Ralph Stömmer

At the end, the house always wins! This simple truth holds for all public games of chance. Nevertheless, since lotteries have existed, people have tried everything to give luck a helping hand. This article compares objective scientific…

Other Statistics · Statistics 2026-03-27 Ralph Stömmer

Finding a counterfeit coin with the different weight from a set of visually identical coin using a balance, usually a two-armed balance, known as the balance question, is an intersting and inspiring question. Its variants involve…

Information Theory · Computer Science 2020-07-28 Fangqi Li
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