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We study a modified prisoner's dilemma game taking place on two-dimensional disordered square lattices. The players are pure strategists and can either cooperate or defect with their immediate neighbors. In the generations each player…

Physics and Society · Physics 2007-05-23 Zhi-Xi Wu , Xin-Jian Xu , Zi-Gang Huang , Sheng-Jun Wang , Ying-Hai Wang

Consider a market where a seller owns an item for sale and a buyer wants to purchase it. Each player has private information, known as their type. It can be costly and difficult for the players to reach an agreement through direct…

Computer Science and Game Theory · Computer Science 2024-10-29 Zhikang Fan , Weiran Shen

This paper explores the use of Generative Pre-trained Transformers (GPT) in strategic game experiments, specifically the ultimatum game and the prisoner's dilemma. I designed prompts and architectures to enable GPT to understand the game…

General Economics · Economics 2023-12-12 Fulin Guo

Incentive mechanism is crucial for federated learning (FL) when rational clients do not have the same interests in the global model as the server. However, due to system heterogeneity and limited budget, it is generally impractical for the…

Computer Science and Game Theory · Computer Science 2023-04-18 Bing Luo , Yutong Feng , Shiqiang Wang , Jianwei Huang , Leandros Tassiulas

Evolutionary prisoner's dilemma games are studied with players located on square lattice and random regular graphs defining four neighbors for each one. The players follow one of the three strategies: tit-for-tat, unconditional cooperation,…

Physics and Society · Physics 2009-11-13 Attila Szolnoki , Matjaz Perc , Gyorgy Szabo

We consider two-player iterated survival games in which players may switch from a more cooperative behavior to a less cooperative one at some step of the game. Payoffs are survival probabilities and lone individuals have to finish the game…

Populations and Evolution · Quantitative Biology 2021-02-18 Olivier Salagnac , John Wakeley

Trusting others and reciprocating the received trust with trustworthy actions are fundaments of economic and social interactions. The trust game (TG) is widely used for studying trust and trustworthiness and entails a sequential interaction…

Physics and Society · Physics 2024-02-19 Ik Soo Lim , Naoki Masuda

We have studied an evolutionary game with spatially arranged players who can choose one of the two strategies (named cooperation and defection for social dilemmas) when playing with their neighbors. In addition to the application of the…

Physics and Society · Physics 2013-01-03 Gyorgy Szabo , Attila Szolnoki , Lilla Czako

The finitely repeated Prisoners' Dilemma is a good illustration of the discrepancy between the strategic behaviour suggested by a game-theoretic analysis and the behaviour often observed among human players, where cooperation is maintained…

Populations and Evolution · Quantitative Biology 2013-01-10 Kristian Lindgren , Vilhelm Verendel

In Stackelberg security games when information about the attacker's payoffs is uncertain, algorithms have been proposed to learn the optimal defender commitment by interacting with the attacker and observing their best responses. In this…

Computer Science and Game Theory · Computer Science 2019-11-01 Jiarui Gan , Qingyu Guo , Long Tran-Thanh , Bo An , Michael Wooldridge

Iterated Prisoner's Dilemma(IPD) is a well-known benchmark for studying the long term behaviors of rational agents, such as how cooperation can emerge among selfish and unrelated agents that need to co-exist over long term. Many well-known…

Computer Science and Game Theory · Computer Science 2017-12-19 Shiheng Wang , Fangzhen Lin

Commitment devices are powerful tools that can influence and incentivise certain behaviours by linking them to rewards or punishments. These devices are particularly useful in decision-making, as they can steer individuals towards specific…

Computer Science and Game Theory · Computer Science 2023-12-11 Maria Alejandra Ramirez , Yoav Kolumbus , Rosemarie Nagel , David Wolpert , Jürgen Jost

The prisoner's dilemma describes a conflict between a pair of players, in which defection is a dominant strategy whereas cooperation is collectively optimal. The iterated version of the dilemma has been extensively studied to understand the…

Populations and Evolution · Quantitative Biology 2017-10-02 Seung Ki Baek , Su Do Yi , Hyeong-Chai Jeong

Iterated coopetitive games capture the situation when one must efficiently balance between cooperation and competition with the other agents over time in order to win the game (e.g., to become the player with highest total utility).…

Computer Science and Game Theory · Computer Science 2022-03-11 Shivakumar Mahesh , Nicholas Bishop , Le Cong Dinh , Long Tran-Thanh

Cooperative behavior, where one individual incurs a cost to help another, is a wide spread phenomenon. Here we study direct reciprocity in the context of the alternating Prisoner's Dilemma. We consider all strategies that can be implemented…

Populations and Evolution · Quantitative Biology 2014-03-05 Benjamin M. Zagorsky , Johannes G. Reiter , Krishnendu Chatterjee , Martin A. Nowak

We study the optimal allocation of prizes in rank-order tournaments with loss averse agents. Prize sharing becomes increasingly optimal with loss aversion because more equitable prizes reduce the marginal psychological cost of anticipated…

Theoretical Economics · Economics 2024-11-05 Dmitry Ryvkin , Qin Wu

We introduce leave-one-out unfairness, which characterizes how likely a model's prediction for an individual will change due to the inclusion or removal of a single other person in the model's training data. Leave-one-out unfairness appeals…

Machine Learning · Computer Science 2021-07-22 Emily Black , Matt Fredrikson

Negotiation is a process where agents aim to work through disputes and maximize their surplus. As the use of deep reinforcement learning in bargaining games is unexplored, this paper evaluates its ability to exploit, adapt, and cooperate to…

Multiagent Systems · Computer Science 2020-02-19 Ho-Chun Herbert Chang

Continuous-time game dynamics are typically first order systems where payoffs determine the growth rate of the players' strategy shares. In this paper, we investigate what happens beyond first order by viewing payoffs as higher order forces…

Optimization and Control · Mathematics 2013-08-01 Rida Laraki , Panayotis Mertikopoulos

Empirical evidence shows that human behaviour often deviates from game-theoretical rationality. For instance, humans may hold unrealistic expectations about future outcomes. As the evolutionary roots of such biases remain unclear, we…

Multiagent Systems · Computer Science 2025-08-29 Marco Saponara , Elias Fernandez Domingos , Jorge M. Pacheco , Tom Lenaerts
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