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Given that the assumption of perfect rationality is rarely met in the real world, we explore a graded notion of rationality in socioecological systems of networked actors. We parametrize an actors' rationality via their place in a social…

Physics and Society · Physics 2017-05-15 Sabin Roman , Markus Brede

We consider a multi-player non-zero-sum turn-based game (abbreviated as multi-player game) on a finite directed graph. A secure equilibrium (SE) is a strategy profile in which no player has the incentive to deviate from the strategy because…

Computer Science and Game Theory · Computer Science 2025-09-03 Hiroki Mizuno , Yoshiaki Takata , Hiroyuki Seki

In both finance and economics, quantitative models are usually studied as isolated mathematical objects --- most often defined by very strong simplifying assumptions concerning rationality, efficiency and the existence of disequilibrium…

General Finance · Quantitative Finance 2010-10-04 Harbir Lamba

Experimental economics has repeatedly demonstrated that the Nash equilibrium makes inaccurate predictions for a vast set of games. Instead, several alternative theoretical concepts predict behavior that is much more in tune with observed…

General Finance · Quantitative Finance 2015-03-17 Christian Hilbe

We propose a new mean-field game model with two states to study synchronization phenomena, and we provide a comprehensive characterization of stationary and dynamic equilibria along with their stability properties. The game undergoes a…

Optimization and Control · Mathematics 2024-08-21 Felix Höfer , H. Mete Soner

We study cautious reasoning in finite sequential games played by agents with perfect recall. Our contribution lies in formulating a definition of prudent rationalizability (Heifetz et al. 2021, BEJTE) as an iterative reduction procedure of…

Computer Science and Game Theory · Computer Science 2025-12-01 Nicodemo De Vito

Social norms are stable behavioral patterns that emerge endogenously within economic systems through repeated interactions among agents. In online market economies, such norms -- like fair exposure, sustained participation, and balanced…

Machine Learning · Computer Science 2026-03-06 Xiangning Yu , Qirui Mi , Xiao Xue , Haoxuan Li , Yiwei Shi , Xiaowei Liu , Mengyue Yang

In decentralized stochastic control (or stochastic team theory) and game theory, if there is a pre-defined order in a system in which agents act, the system is called \textit{sequential}, otherwise it is non-sequential. Much of the…

Optimization and Control · Mathematics 2025-08-05 Omar Mrani-Zentar , Ryan Simpson , Serdar Yüksel

Decomposition methods are often used for producing counterfactual predictions in non-strategic settings. When the outcome of interest arises from a game-theoretic setting where agents are better off by deviating from their strategies after…

Econometrics · Economics 2024-07-03 Nathan Canen , Kyungchul Song

We study Bayesian coordination games where agents receive noisy private information over the game's payoffs, and over each others' actions. If private information over actions is of low quality, equilibrium uniqueness obtains in a manner…

General Economics · Economics 2021-11-23 Dominik Grafenhofer , Wolfgang Kuhle

Game theory has been widely applied to many areas including economics, biology and social sciences. However, it is still challenging to quantify the global stability and global dynamics of the game theory. We developed a landscape and flux…

Populations and Evolution · Quantitative Biology 2018-09-05 Li Xu , Jin Wang

Frequent violations of fair principles in real-life settings raise the fundamental question of whether such principles can guarantee the existence of a self-enforcing equilibrium in a free economy. We show that elementary principles of…

Theoretical Economics · Economics 2021-07-28 Ghislain H. Demeze-Jouatsa , Roland Pongou , Jean-Baptiste Tondji

In an earlier experiment, participants played a perfect information game against a computer, which was programmed to deviate often from its backward induction strategy right at the beginning of the game. Participants knew that in each game,…

Computer Science and Game Theory · Computer Science 2017-07-28 Sujata Ghosh , Aviad Heifetz , Rineke Verbrugge , Harmen de Weerd

Conventional noncooperative game theory hypothesizes that the joint strategy of a set of players in a game must satisfy an "equilibrium concept". All other joint strategies are considered impossible; the only issue is what equilibrium…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 David H. Wolpert

Understanding how biological organisms make decisions is of fundamental importance in understanding behavior. Such an understanding within evolutionary game theory so far has been sought by appealing to bounded rationality. Here, we present…

Populations and Evolution · Quantitative Biology 2025-12-16 Mohammad Salahshour

We consider a simple model of rational agents competing in a single product market described by simple linear demand curve. Contrary to accepted economic theory, the agents' production levels synchronise in the absence of conscious…

Adaptation and Self-Organizing Systems · Physics 2008-12-02 Russell K. Standish , Steve Keen

Network economics is the study of a rich class of equilibrium problems that occur in the real world, from traffic management to supply chains and two-sided online marketplaces. In this paper we explore causal inference in network economics,…

Optimization and Control · Mathematics 2021-09-24 Sridhar Mahadevan

What is the emergent long-run equilibrium of a society where many interacting agents bet on the optimal energy to put in place in order to climb on the Bandwagon? In this paper we study the collective behavior of a large population of…

Optimization and Control · Mathematics 2018-04-23 Paolo Dai Pra , Elena Sartori , Marco Tolotti

We introduce a new paradigm for game theory -- Bayesian satisfaction. This novel approach is a synthesis of the idea of Bayesian rationality introduced by Aumann, and satisfaction games. The concept of Bayesian rationality for which, in…

Computer Science and Game Theory · Computer Science 2023-07-26 Langford White , Oskar Rynkiewicz , Duong Nguyen , Hung Nguyen

Consider a set of agents who play a network game repeatedly. Agents may not know the network. They may even be unaware that they are interacting with other agents in a network. Possibly, they just understand that their payoffs depend on an…

Theoretical Economics · Economics 2022-07-26 Pierpaolo Battigalli , Fabrizio Panebianco , Paolo Pin