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An unconventional approach for optimal stopping under model ambiguity is introduced. Besides ambiguity itself, we take into account how ambiguity-averse an agent is. This inclusion of ambiguity attitude, via an $\alpha$-maxmin nonlinear…

Mathematical Finance · Quantitative Finance 2021-07-15 Yu-Jui Huang , Xiang Yu

Understanding and predicting the behavior of large-scale multi-agents in games remains a fundamental challenge in multi-agent systems. This paper examines the role of heterogeneity in equilibrium formation by analyzing how smooth…

Computer Science and Game Theory · Computer Science 2025-07-24 Die Hu , Shuyue Hu , Chunjiang Mu , Shiqi Fan , Chen Chu , Jinzhuo Liu , Zhen Wang

Gallice and Monz\'on (2019) present a natural environment that sustains full co-operation in one-shot social dilemmas among a finite number of self-interested agents. They demonstrate that in a sequential public goods game, where agents…

General Economics · Economics 2026-03-13 Chowdhury Mohammad Sakib Anwar , Konstantinos Georgalos

In certain parliamentary democracies, there are two major parties that move in and out of power every few elections, and a third minority party that essentially never governs. We present a simple model to account for this phenomenon, in…

Physics and Society · Physics 2009-03-09 D. Volovik , M. Mobilia , S. Redner

TheMinority Game (MG) has become a paradigm to probe complex social and economical phenomena where adaptive agents compete for a limited resource, and it finds applications in statistical and nonlinear physics as well. In the traditional MG…

Adaptation and Self-Organizing Systems · Physics 2012-04-16 Zi-Gang Huang , Ji-Qiang Zhang , Jia-Qi Dong , Liang Huang , Ying-Cheng Lai

This paper proposes normative criteria for voting rules under uncertainty about individual preferences. The criteria emphasize the importance of responsiveness, i.e., the probability that the social outcome coincides with the realized…

Theoretical Economics · Economics 2025-07-31 Satoshi Nakada , Shmuel Nitzan , Takashi Ui

In the standard Minority Game, players use historical minority choices as the sole public information to pick one out of the two alternatives. However, publishing historical minority choices is not the only way to present global system…

Physics and Society · Physics 2009-11-11 H. F. Chau , F. K. Chow , K. H. Ho , W. C. Man

Evolutionary game theory has proven to be an elegant framework providing many fruitful insights in population dynamics and human behaviour. Here, we focus on the aspect of behavioural plasticity and its effect on the evolution of…

Populations and Evolution · Quantitative Biology 2020-09-29 M. Kleshnina , K. Kaveh , K. Chatterjee

A key question concerning collective decisions is whether a social system can settle on the best available option when some members learn from others instead of evaluating the options on their own. This question is challenging to study, and…

Physics and Society · Physics 2021-08-24 Vicky Chuqiao Yang , Mirta Galesic , Harvey McGuinness , Ani Harutyunyan

There is a growing need for discrete choice models that account for the complex nature of human choices, escaping traditional behavioral assumptions such as the transitivity of pairwise preferences. Recently, several parametric models of…

Machine Learning · Computer Science 2018-10-12 Rahul Makhijani

We consider a version of large population games whose players compete for resources using strategies with adaptable preferences. The system efficiency is measured by the variance of the decisions. In the regime where the system can be…

Condensed Matter · Physics 2009-11-10 K. Y. Michael Wong , S. W. Lim , Peixun Luo

We consider a version of large population games whose agents compete for resources using strategies with adaptable preferences. Diversity among the agents reduces their maladpative behavior. We find interesting scaling relations with…

Condensed Matter · Physics 2007-05-23 K. Y. Michael Wong , S. W. Lim , Zhuo Gao

In many areas of engineering and sciences, decision rules and control strategies are usually designed based on nominal values of relevant system parameters. To ensure that a control strategy or decision rule will work properly when the…

Probability · Mathematics 2020-06-16 Xinjia Chen

Proportional representation (PR) is a fundamental principle of many democracies world-wide which employ PR-based voting rules to elect their representatives. The normative properties of these voting rules however, are often only understood…

Computer Science and Game Theory · Computer Science 2018-01-30 Barton E. Lee

We investigate the dynamics of the choice of an active strategy in the minority game. A history distribution is introduced as an analytical tool to study the asymmetry between the two choices offered to the agents. Its properties are…

adap-org · Physics 2009-10-31 R. D'Hulst , G. J. Rodgers

A broad current application of algorithms is in formal and quantitative measures of murky concepts -- like merit -- to make decisions. When people strategically respond to these sorts of evaluations in order to gain favorable decision…

Computers and Society · Computer Science 2023-10-06 Benjamin Laufer , Jon Kleinberg , Karen Levy , Helen Nissenbaum

The notion of \emph{policy regret} in online learning is a well defined? performance measure for the common scenario of adaptive adversaries, which more traditional quantities such as external regret do not take into account. We revisit the…

Machine Learning · Computer Science 2020-03-24 Raman Arora , Michael Dinitz , Teodor V. Marinov , Mehryar Mohri

Different voters behave differently, different governments make different decisions, or different organizations are ruled differently. Many research questions important to political scientists concern choice behavior, which involves dealing…

Methodology · Statistics 2020-11-06 Gerhard Tutz , Ingrid Mauerer

The major finding, of this article, is an ensemble method, but more exactly, a novel, better ranked voting system (and other variations of it), that aims to solve the problem of finding the best candidate to represent the voters. We have…

Artificial Intelligence · Computer Science 2021-10-15 Gabriel-Claudiu Grama

Minority game is a model of heterogeneous players who think inductively. In this game, each player chooses one out of two alternatives every turn and those who end up in the minority side wins. It is instructive to extend the minority game…

Statistical Mechanics · Physics 2007-05-23 F. K. Chow , H. F. Chau