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Experiments on the ultimatum game have revealed that humans are remarkably fond of fair play. When asked to share an amount of money, unfair offers are rare and their acceptance rate small. While empathy and spatiality may lead to the…

Physics and Society · Physics 2012-08-20 Attila Szolnoki , Matjaz Perc , Gyorgy Szabo

In this work we present an analysis of a spatially non homogeneous ultimatum game. By considering different underlying topologies as substrates on top of which the game takes place we obtain nontrivial behaviors for the evolution of the…

Adaptation and Self-Organizing Systems · Physics 2009-11-13 M. N. Kuperman , S. Risau Gusman

The ultimatum game has been a prominent paradigm in studying the evolution of fairness. It predicts that responders should accept any nonzero offer and proposers should offer the smallest possible amount according to orthodox game theory.…

Computer Science and Game Theory · Computer Science 2019-02-13 Yanling Zhang , Jian Liu , Aming Li

Institutions and investors face the constant challenge of making accurate decisions and predictions regarding how best they should distribute their endowments. The problem of achieving an optimal outcome at minimal cost has been extensively…

Multiagent Systems · Computer Science 2021-02-09 Theodor Cimpeanu , Cedric Perret , The Anh Han

Asymmetric evolutionary games, such as the Ultimatum Game, provide keys to understanding the emergence of fairness in social species. Building on this framework, we explore the evolution of social value systems and the operational role that…

Physics and Society · Physics 2025-05-13 Hana Krakovská , Rudolf Hanel

Spatial structure is known to have an impact on the evolution of cooperation, and so it has been intensively studied during recent years. Previous work has shown the relevance of some features, such as the synchronicity of the updating, the…

Populations and Evolution · Quantitative Biology 2009-11-07 Carlos P. Roca , José A. Cuesta , Angel Sánchez

Repeated interactions are ubiquitous and known to promote social behaviour. While research often focuses on cooperation in the Prisoner's Dilemma, experimental evidence suggests repeated interactions also foster fairness. This study…

Adaptation and Self-Organizing Systems · Physics 2026-04-07 Prosanta Mandal , Arunava Patra , Sagar Chakraborty

The Ultimatum Game (UG) is an economic game where two players (proposer and responder) decide how to split a certain amount of money. While traditional economic theories based on rational decision making predict that the proposer should…

Physics and Society · Physics 2017-04-06 Genki Ichinose , Hiroki Sayama

Behavioral experiments on the Ultimatum Game have shown that we human beings have remarkable preference in fair play, contradicting the predictions by the game theory. Most of the existing models seeking for explanations, however, strictly…

Populations and Evolution · Quantitative Biology 2022-12-07 Guozhong Zheng , Jiqiang Zhang , Rizhou Liang , Lin Ma , Li Chen

The evolution of fairness in dyadic relationships has been studied using ultimatum games. However, human fairness is not limited to two-person situations and universal egalitarianism among group members is widely observed. In this study, we…

Physics and Society · Physics 2017-07-25 Hirofumi Takesue , Akira Ozawa , So Morikawa

The promotion of cooperation on spatial lattices is an important issue in evolutionary game theory. This effect clearly depends on the update rule: it diminishes with stochastic imitative rules whereas it increases with unconditional…

Populations and Evolution · Quantitative Biology 2009-11-07 Carlos P. Roca , José A. Cuesta , Angel Sánchez

We introduce and study an evolutionary complementarity game where in each round a player of population 1 is paired with a member of population 2. The game is symmetric, and each player tries to obtain an advantageous deal, but when one of…

Adaptation and Self-Organizing Systems · Physics 2015-06-26 Juergen Jost , Wei Li

Allocation games are zero-sum games that model the distribution of resources among multiple agents. In this paper, we explore the interplay between an \textit{subjective identity} and its impact on notions of fairness in allocation. The…

Computer Science and Game Theory · Computer Science 2024-07-08 Janvi Chhabra , Jayati Deshmukh , Arpitha Malavalli , Karthik Sama , Srinath Srinivasa

Extortion strategies can dominate any opponent in an iterated prisoner's dilemma game. But if players are able to adopt the strategies performing better, extortion becomes widespread and evolutionary unstable. It may sometimes act as a…

Physics and Society · Physics 2014-02-17 Attila Szolnoki , Matjaz Perc

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

Understanding the evolution of human social systems requires flexible formalisms for the emergence of institutions. Although game theory is normally used to model interactions individually, larger spaces of games can be helpful for modeling…

Physics and Society · Physics 2021-08-12 Seth Frey , Curtis Atkisson

Evolutionary $2 \times 2$ games are studied with players located on a square lattice. During the evolution the randomly chosen neighboring players try to maximize their collective income by adopting a random strategy pair with a probability…

Populations and Evolution · Quantitative Biology 2010-08-23 Gyorgy Szabo , Attila Szolnoki , Melinda Varga , Livia Hanusovszky

In games with a large number of players where players may have overlapping objectives, the analysis of stable outcomes typically depends on player types. A special case is when a large part of the player population consists of imitation…

Computer Science and Game Theory · Computer Science 2010-06-18 Soumya Paul , R. Ramanujam

Studying strategy update rules in the framework of evolutionary game theory, one can differentiate between imitation processes and aspiration-driven dynamics. In the former case, individuals imitate the strategy of a more successful peer.…

Populations and Evolution · Quantitative Biology 2014-03-06 Jinming Du , Bin Wu , Philipp M. Altrock , Long Wang

We address the problem of how cooperative (altruistic-like) behavior arises in natural and social systems by analyzing an ultimatum game in complex networks. Specifically, three types of players are considered: (a) empathetic, whose…

Physics and Society · Physics 2009-12-18 Roberta Sinatra , Jaime Iranzo , Jesús Gómez-Gardeñes , Luis M. Floría , Vito Latora , Yamir Moreno
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