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Models of continuous opinion dynamics under bounded confidence show a sharp transition between a consensus and a polarization phase at a critical global bound of confidence. In this paper, heterogeneous bounds of confidence are studied. The…

Physics and Society · Physics 2010-12-07 Jan Lorenz

Hardin introduced the notorious concept of "tragedy of the commons". Worrying about the consequences of human overpopulation on the planet, he discussed "hard problems": problems with no technical solutions, that can only be addressed by…

Digital Libraries · Computer Science 2024-04-10 Mathilde Noual

I think that the main reason why we do not understand the general principles of how knowledge works (and probably also the reason why we have not yet designed and built efficient machines capable of artificial intelligence), is not the…

Artificial Intelligence · Computer Science 2014-04-21 Devis Pantano

We study incentive design when multiple principals simultaneously design mechanisms for their respective teams in environments with strategic spillovers. In this environment, each principal's set of incentive-compatible mechanisms--those…

Theoretical Economics · Economics 2026-05-11 Brian Roberson

Cooperation among self-interested players in a social dilemma is fragile and easily interrupted by mistakes. In this work, we study the repeated $n$-person public-goods game and search for a strategy that forms a cooperative Nash…

Populations and Evolution · Quantitative Biology 2018-04-20 Yohsuke Murase , Seung Ki Baek

According to evolutionary game theory, cooperation in public goods games is eliminated by free-riders, yet in nature, cooperation is ubiquitous. Artificial models resolve this contradiction via the mechanism of network reciprocity. However,…

Computer Science and Game Theory · Computer Science 2016-05-10 Steve Miller , Joshua Knowles

Collective cooperation drives the dynamics of many natural, social, and economic phenomena, making understanding the evolution of cooperation with evolutionary game theory a central question of modern science. Although human interactions…

Physics and Society · Physics 2024-04-12 Yao Meng , Alex McAvoy , Aming Li

This paper introduces a framework for finite non-cooperative games where each player faces a globally uncertain parameter with no common prior. Every player chooses both a mixed strategy and projects an emergent subjective prior to the…

Theoretical Economics · Economics 2025-03-05 Jozsef Konczer

Since Alan Turing envisioned Artificial Intelligence (AI) [1], a major driving force behind technical progress has been competition with human cognition. Historical milestones have been frequently associated with computers matching or…

Kaplan and Montague have showed that certain intuitive axioms for a first-order theory of knowledge, formalized as a predicate, are jointly inconsistent. Their arguments rely on self-referential formulas. I offer a consistent first-order…

Logic · Mathematics 2023-04-21 Paul Gorbow

The notion that economies should normally be in equilibrium is by now well-established; equally well-established is that economies are almost never precisely in equilibrium. Using a very general formulation, we show that under dynamics that…

General Finance · Quantitative Finance 2012-02-28 Eric Kemp-Benedict

Story generation, namely generating a reasonable story from a leading context, is an important but challenging task. In spite of the success in modeling fluency and local coherence, existing neural language generation models (e.g., GPT-2)…

Computation and Language · Computer Science 2020-01-16 Jian Guan , Fei Huang , Zhihao Zhao , Xiaoyan Zhu , Minlie Huang

Simpson's paradox is an obstacle to establishing a probabilistic association between two events $a_1$ and $a_2$, given the third (lurking) random variable $B$. We focus on scenarios when the random variables $A$ (which combines $a_1$,…

Methodology · Statistics 2024-07-23 A. Hovhannisyan , A. E. Allahverdyan

In repeated games, cooperation is possible in equilibrium only if players are sufficiently patient, and long-term gains from cooperation outweigh short-term gains from deviation. What happens if the players have incomplete information…

Economics · Quantitative Finance 2019-01-23 Cy Maor , Eilon Solan

Game theory is the standard tool used to model strategic interactions in evolutionary biology and social science. Traditional game theory studies the equilibria of simple games. But is traditional game theory applicable if the game is…

Chaotic Dynamics · Physics 2011-09-22 Tobias Galla , J. Doyne Farmer

Social consensus is important for society. Sometimes the success of society depends on a consensus (e.g. the decision to pay taxes or to commit to the constitution). Examples for continuous opinion dynamics are discussions about tax rates…

Physics and Society · Physics 2008-03-06 Jan Lorenz

Artificial intelligence (AI) has made significant strides in recent years, yet it continues to struggle with a fundamental aspect of cognition present in all animals: common sense. Current AI systems, including those designed for complex…

Artificial Intelligence · Computer Science 2025-01-14 Hugo Latapie

Autonomous systems that operate in a shared environment with people need to be able to follow the rules of the society they occupy. While laws are unique for one society, different people and institutions may use different rules to guide…

Artificial Intelligence · Computer Science 2022-09-15 Ana Ozaki , Anum Rehman , Philip Turk , Marija Slavkovik

We introduce a solution concept for extensive-form games of incomplete information in which players need not assign likelihoods to what they do not know about the game. This is embedded in a model in which players can hold multiple priors.…

Theoretical Economics · Economics 2021-09-03 Karl Schlag , Andriy Zapechelnyuk

Statistical mechanics has proven to be able to capture the fundamental rules underlying phenomena of social aggregation and opinion dynamics, well studied in disciplines like sociology and psychology. This approach is based on the…

Physics and Society · Physics 2017-03-09 Daniele Vilone , Timoteo Carletti , Franco Bagnoli , Andrea Guazzini
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