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We generalize the model of Gallice and Monzon (2019) to incorporate a public goods game with groups, position uncertainty, and observational learning. Contributions are simultaneous within groups, but groups play sequentially based on their…

Theoretical Economics · Economics 2026-03-13 Chowdhury Mohammad Sakib Anwar , Jorge Bruno , Renaud Foucart , Sonali SenGupta

Networked public goods games model scenarios in which self-interested agents decide whether or how much to invest in an action that benefits not only themselves, but also their network neighbors. Examples include vaccination, security…

Computer Science and Game Theory · Computer Science 2021-09-03 David Kempe , Sixie Yu , Yevgeniy Vorobeychik

Public goods games study the incentives of individuals to contribute to a public good and their behaviors in equilibria. In this paper, we examine a specific type of public goods game where players are networked and each has binary actions,…

Computer Science and Game Theory · Computer Science 2022-04-04 Sixie Yu , Kai Zhou , P. Jeffrey Brantingham , Yevgeniy Vorobeychik

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

It is a challenging task to reach global cooperation among self-interested agents, which often requires sophisticated design or usage of incentives. For example, we may apply supervisors or referees who are able to detect and punish…

Physics and Society · Physics 2024-12-20 Ting Ling , Zhang Li , Minyu Feng , Attila Szolnoki

We consider a stochastic game of contribution to the common good in which the players have continuous control over the degree of contribution, and we examine the gradualism arising from the free rider effect. This game belongs to the class…

Optimization and Control · Mathematics 2022-07-14 H. Dharma Kwon

Taxation constitutes a fundamental component of modern national economic systems, exerting profound impacts on both societal functioning and governmental operations. In this paper, we employ an interdependent network approach to model the…

Physics and Society · Physics 2026-04-13 Qin Li , Ting Ling , Minyu Feng , Attila Szolnoki

We model a dynamic public good contribution game, where players are (naturally) formed into groups. The groups are exogenously placed in a sequence, with limited information available to players about their groups' position in the sequence.…

Theoretical Economics · Economics 2022-10-18 Chowdhury Mohammad Sakib Anwar , Jorge Bruno , Sonali SenGupta

In the classical Binary Networked Public Goods (BNPG) game, a player can either invest in a public project or decide not to invest. Based on the decisions of all the players, each player receives a reward as per his/her utility function.…

Computer Science and Game Theory · Computer Science 2024-01-03 Arnab Maiti , Palash Dey

This paper proposes a mathematical model for the coevolution of actions and opinions for a population facing a social dilemma. In particular, we assume each person participates in a Public Goods Game (PGG), with their action being to…

Dynamical Systems · Mathematics 2026-04-13 Ella C. Davidson , Lorenzo Zino , Ming Cao , Mengbin Ye

The Optional Public Goods Game is a three-strategy game in which an individual can play as a cooperator or defector or decide not to participate. Despite its simplicity, this model can effectively represent many human social dilemmas, such…

The evolution of cooperation has been a perennial problem in evolutionary biology because cooperation can be undermined by selfish cheaters who gain an advantage in the short run, while compromising the long-term viability of the…

Populations and Evolution · Quantitative Biology 2015-06-10 Arend Hintze , Christoph Adami

In the game of investment in the common good, the free rider problem can delay the stakeholders' actions in the form of a mixed strategy equilibrium. However, it has been recently shown that the mixed strategy equilibria of the stochastic…

Optimization and Control · Mathematics 2022-08-25 Youngsoo Kim , H. Dharma Kwon

Effective enforcement of laws and policies requires expending resources to prevent and detect offenders, as well as appropriate punishment schemes to deter violators. In particular, enforcement of privacy laws and policies in modern…

Computer Science and Game Theory · Computer Science 2013-03-06 Jeremiah Blocki , Nicolas Christin , Anupam Datta , Ariel D. Procaccia , Arunesh Sinha

I present a dynamic, voluntary contribution mechanism, public good game and derive its potential outcomes. In each period, players endogenously determine contribution productivity by engaging in costly investment. The level of contribution…

Econometrics · Economics 2023-03-21 Dmytro Bogatov

Richman games are zero-sum games, where in each turn players bid in order to determine who will play next [Lazarus et al.'99]. We extend the theory to impartial general-sum two player games called \emph{bidding games}, showing the existence…

Computer Science and Game Theory · Computer Science 2018-08-13 Gil Kalai , Reshef Meir , Moshe Tennenholtz

A cooperative player invests effort into a common venture without knowing the partner's intention in advance. But this strategy can be implemented in various ways when a player is involved in different games simultaneously. Interestingly,…

Physics and Society · Physics 2021-07-14 Hsuan-Wei Lee , Colin Cleveland , Attila Szolnoki

We model an electorate voting on the funding of a public good in a two-party system in an evolutionary game theory framework. Voters adopt one of four strategies: Consensus-makers, Gridlockers, Party 1 Zealots, and Party 2 Zealots, which…

Physics and Society · Physics 2026-03-27 Jonathan Engle , Bryce Morsky

The public goods game is a broadly used paradigm for studying the evolution of cooperation in structured populations. According to the basic assumption, the interaction graph determines the connections of a player where the focal actor…

Physics and Society · Physics 2024-04-24 Ju Han , Xiaojie Chen , Attila Szolnoki

According to the public goods game (PGG) protocol, participants decide freely whether they want to contribute to a common pool or not, but the resulting benefit is distributed equally. A conceptually similar dilemma situation may emerge…

Physics and Society · Physics 2022-12-26 Chaoqian Wang , Attila Szolnoki
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