Publications (207)
Emergence of multilevel selection in the prisoner's dilemma game on coevolving random networks
Attila Szolnoki, Matjaz Perc
We study the evolution of cooperation in the prisoner's dilemma game, whereby a coevolutionary rule is introduced that molds the random topology of the interaction network in two w…
From pairwise to group interactions in games of cyclic dominance
Attila Szolnoki, Jeromos Vukov, Matjaz Perc
We study the rock-paper-scissors game in structured populations, where the invasion rates determine individual payoffs that govern the process of strategy change. The traditional v…
Deep Learning Criminal Networks
Haroldo V. Ribeiro, Diego D. Lopes, Arthur A. B. Pessa +6
Recent advances in deep learning methods have enabled researchers to develop and apply algorithms for the analysis and modeling of complex networks. These advances have sparked a s…
Wisdom of groups promotes cooperation in evolutionary social dilemmas
Attila Szolnoki, Zhen Wang, Matjaz Perc
Whether or not to change strategy depends not only on the personal success of each individual, but also on the success of others. Using this as motivation, we study the evolution o…
Grand challenges in social physics: In pursuit of moral behavior
Valerio Capraro, Matjaz Perc
Methods of statistical physics have proven valuable for studying the evolution of cooperation in social dilemma games. However, recent empirical research shows that cooperative beh…
Evolutionary mixed games in structured populations: Cooperation and the benefits of heterogeneity
Marco A. Amaral, Lucas Wardil, Matjaz Perc +1
Evolutionary games on networks traditionally involve the same game at each interaction. Here we depart from this assumption by considering mixed games, where the game played at eac…
Community structure and the evolution of interdisciplinarity in Slovenia's scientific collaboration network
Borut Luzar, Zoran Levnajic, Janez Povh +1
Interaction among the scientific disciplines is of vital importance in modern science. Focusing on the case of Slovenia, we study the dynamics of interdisciplinary sciences from 19…
Imitating emotions instead of strategies in spatial games elevates social welfare
Attila Szolnoki, Neng-Gang Xie, Chao Wang +1
The success of imitation as an evolutionary driving force in spatial games has often been questioned, especially for social dilemmas such as the snowdrift game, where the most prof…
Effects of correlated Gaussian noise on the mean firing rate and correlations of an electrically coupled neuronal network
Xiaojuan Sun, Matjaz Perc, Qishao Lu +1
In this paper, we examine the effects of correlated Gaussian noise on a two-dimensional neuronal network that is locally modeled by the Rulkov map. More precisely, we study the eff…
Interplay between particle trapping and heterogeneity in anomalous diffusion
Haroldo V. Ribeiro, Angel A. Tateishi, Ervin K. Lenzi +2
Heterogeneous media diffusion is often described using position-dependent diffusion coefficients and estimated indirectly through mean squared displacement in experiments. This app…
Evolution of extortion in structured populations
Attila Szolnoki, Matjaz Perc
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 widespre…
The dynamical structure of political corruption networks
Haroldo V. Ribeiro, Luiz G. A. Alves, Alvaro F. Martins +2
Corruptive behaviour in politics limits economic growth, embezzles public funds, and promotes socio-economic inequality in modern democracies. We analyse well-documented political…
Synchronous bursts on scale-free neuronal networks with attractive and repulsive coupling
Qingyun Wang, Guanrong Chen, Matjaz Perc
This paper investigates the dependence of synchronization transitions of bursting oscillations on the information transmission delay over scale-free neuronal networks with attracti…
Effectiveness of conditional punishment for the evolution of public cooperation
Attila Szolnoki, Matjaz Perc
Collective actions, from city marathons to labor strikes, are often mass-driven and subject to the snowball effect. Motivated by this, we study evolutionary advantages of condition…
Impact of critical mass on the evolution of cooperation in spatial public goods games
Attila Szolnoki, Matjaz Perc
We study the evolution of cooperation under the assumption that the collective benefits of group membership can only be harvested if the fraction of cooperators within the group, i…
Rewarding evolutionary fitness with links between populations promotes cooperation
Zhen Wang, Attila Szolnoki, Matjaz Perc
Evolution of cooperation in the prisoner's dilemma and the public goods game is studied, where initially players belong to two independent structured populations. Simultaneously wi…
Vector Centrality in Hypergraphs
Kirill Kovalenko, Miguel Romance, Ekaterina Vasilyeva +9
Identifying the most influential nodes in networked systems is of vital importance to optimize their function and control. Several scalar metrics have been proposed to that effect,…
Evolutionary dynamics of higher-order interactions in social networks
Unai Alvarez-Rodriguez, Federico Battiston, Guilherme Ferraz de Arruda +3
We live and cooperate in networks. However, links in networks only allow for pairwise interactions, thus making the framework suitable for dyadic games, but not for games that are…
If cooperation is likely punish mildly: Insights from economic experiments based on the snowdrift game
Luo-Luo Jiang, Matjaz Perc, Attila Szolnoki
Punishment may deter antisocial behavior. Yet to punish is costly, and the costs often do not offset the gains that are due to elevated levels of cooperation. However, the effectiv…
City size and the spreading of COVID-19 in Brazil
Haroldo V. Ribeiro, Andre S. Sunahara, Jack Sutton +2
The current outbreak of the coronavirus disease 2019 (COVID-19) is an unprecedented example of how fast an infectious disease can spread around the globe (especially in urban areas…
Noise-guided evolution within cyclical interactions
Matjaz Perc, Attila Szolnoki
We study a stochastic predator-prey model on a square lattice, where each of the six species has two superior and two inferior partners. The invasion probabilities between species…
Transitions from chimeras to coherence: An analytical approach by means of the coherent stability function
Sarbendu Rakshit, Zahra Faghani, Fatemeh Parastesh +4
Chimera states have been a vibrant subject of research in the recent past, but the analytical treatment of transitions from chimeras to coherent states remains a challenge. Here we…
Why are there six degrees of separation in a social network?
Ivan Samoylenko, David Aleja, Eva Primo +11
A wealth of evidence shows that real world networks are endowed with the small-world property i.e., that the maximal distance between any two of their nodes scales logarithmically…
Collective influence in evolutionary social dilemmas
Attila Szolnoki, Matjaz Perc
When evolutionary games are contested in structured populations, the degree of each player in the network plays an important role. If they exist, hubs often determine the fate of t…
Binary birth-death dynamics and the expansion of cooperation by means of self-organized growth
Attila Szolnoki, Alberto Antonioni, Marco Tomassini +1
Natural selection favors the more successful individuals. This is the elementary premise that pervades common models of evolution. Under extreme conditions, however, the process ma…
The evolution of trust and trustworthiness
Aanjaneya Kumar, Valerio Capraro, Matjaz Perc
Trust and trustworthiness form the basis for continued social and economic interactions, and they are also fundamental for cooperation, fairness, honesty, and indeed for many other…
Conformity enhances network reciprocity in evolutionary social dilemmas
Attila Szolnoki, Matjaz Perc
The pursuit of highest payoffs in evolutionary social dilemmas is risky and sometimes inferior to conformity. Choosing the most common strategy within the interaction range is safe…
Bipartite structure and dynamics of political corruption networks
Monica V. Prates, Arthur A. B. Pessa, Sebastian Goncalves +2
Political corruption is inherently an affiliation process linking agents to corruption cases; yet it is often studied via one-mode projections that connect co-offenders within the…
Delay-induced multiple stochastic resonances on scale-free neuronal networks
Qingyun Wang, Matjaz Perc, Zhisheng Duan +1
We study the effects of periodic subthreshold pacemaker activity and time-delayed coupling on stochastic resonance over scale-free neuronal networks. As the two extreme options, we…
Characterizing unstructured data with the nearest neighbor permutation entropy
Leonardo G. J. M. Voltarelli, Arthur A. B. Pessa, Luciano Zunino +4
Permutation entropy and its associated frameworks are remarkable examples of physics-inspired techniques adept at processing complex and extensive datasets. Despite substantial pro…
Interdependent network reciprocity in evolutionary games
Zhen Wang, Attila Szolnoki, Matjaz Perc
Besides the structure of interactions within networks, also the interactions between networks are of the outmost importance. We therefore study the outcome of the public goods game…
Statistical physics of human cooperation
Matjaz Perc, Jillian J. Jordan, David G. Rand +3
Extensive cooperation among unrelated individuals is unique to humans, who often sacrifice personal benefits for the common good and work together to achieve what they are unable t…
Cooperation in the spatial prisoner's dilemma game with probabilistic abstention
Marcos Cardinot, Josephine Griffith, Colm O'Riordan +1
Research has shown that the addition of abstention as an option transforms social dilemmas to rock-paper-scissor type games, where defectors dominate cooperators, cooperators domin…
Optimal distribution of incentives for public cooperation in heterogeneous interaction environments
Xiaojie Chen, Matjaz Perc
In the framework of evolutionary games with institutional reciprocity, limited incentives are at disposal for rewarding cooperators and punishing defectors. In the simplest case, i…
Phase diagrams for three-strategy evolutionary prisoner's dilemma games on regular graphs
Attila Szolnoki, Matjaz Perc, Gyorgy Szabo
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 t…
Effects of Stochastic Games on Evolutionary Dynamics in Structured Populations
Yuji Zhang, Minyu Feng, Qin Li +2
Continuously changing environments have a paramount role in the evolution of cooperative behavior. Previous works have shown that the transitions among different games, as the feed…
Decelerated invasion and waning moon patterns in public goods games with delayed distribution
Attila Szolnoki, Matjaz Perc
We study the evolution of cooperation in the spatial public goods game, focusing on the effects that are brought about by the delayed distribution of goods that accumulate in group…
Effects of competition on pattern formation in the rock-paper-scissors game
Luo-Luo Jiang, Tao Zhou, Matjaz Perc +1
We investigate the impact of cyclic competition on pattern formation in the rock-paper-scissors game. By separately considering random and prepared initial conditions, we observe a…
Inheritance patterns in citation networks reveal scientific memes
Tobias Kuhn, Matjaz Perc, Dirk Helbing
Memes are the cultural equivalent of genes that spread across human culture by means of imitation. What makes a meme and what distinguishes it from other forms of information, howe…
Aspiring to the fittest and promotion of cooperation in the prisoner's dilemma game
Zhen Wang, Matjaz Perc
Strategy changes are an essential part of evolutionary games. Here we introduce a simple rule that, depending on the value of a single parameter , influences the selection of pl…
Vortices determine the dynamics of biodiversity in cyclical interactions with protection spillovers
Attila Szolnoki, Matjaz Perc
If rock beats scissors and scissors beat paper, one might assume that rock beats paper too. But this is not the case for intransitive relationships that make up the famous rock-pap…
Stochastic resonance in soft matter systems: combined effects of static and dynamic disorder
Matjaz Perc, Marko Gosak, Samo Kralj
We study the impact of static and dynamic disorder on the phenomenon of stochastic resonance (SR) in a representative soft matter system. Due to their extreme susceptibility to wea…
Degree mixing in multilayer networks impedes the evolution of cooperation
Zhen Wang, Lin Wang, Matjaz Perc
Traditionally, the evolution of cooperation has been studied on single, isolated networks. Yet a player, especially in human societies, will typically be a member of many different…
Charting the life of Billboard hits through memory, turnover, and predictability
Arthur A. B. Pessa, Angelo A. Flores, Matjaz Perc +1
The paper analyzes several decades of Billboard song and album charts to compare how long hits persist, how often they re‑enter the charts, and how predictable their rank trajector…
Evolutionary mechanisms that promote cooperation may not promote social welfare
The Anh Han, Manh Hong Duong, Matjaz Perc
Understanding the emergence of prosocial behaviours among self-interested individuals is an important problem in many scientific disciplines. Various mechanisms have been proposed…
Statistical physics of vaccination
Zhen Wang, Chris T. Bauch, Samit Bhattacharyya +6
Historically, infectious diseases caused considerable damage to human societies, and they continue to do so today. To help reduce their impact, mathematical models of disease trans…
Evolution of emotions on networks leads to the evolution of cooperation in social dilemmas
Attila Szolnoki, Neng-Gang Xie, Ye Ye +1
We show that the resolution of social dilemmas on random graphs and scale-free networks is facilitated by imitating not the strategy of better performing players but rather their e…
Different reactions to adverse neighborhoods in games of cooperation
Chunyan Zhang, Jianlei Zhang, Franz J. Weissing +3
In social dilemmas, cooperation among randomly interacting individuals is often difficult to achieve. The situation changes if interactions take place in a network where the networ…
Sustainable institutionalized punishment requires elimination of second-order free-riders
Matjaz Perc
Although empirical and theoretical studies affirm that punishment can elevate collaborative efforts, its emergence and stability remain elusive. By peer-punishment the sanctioning…
Evolutionary dynamics in the public goods games with switching between punishment and exclusion
Linjie Liu, Shengxian Wang, Xiaojie Chen +1
Pro-social punishment and exclusion are common means to elevate the level of cooperation among unrelated individuals. Indeed, it is worth pointing out that the combined use of thes…
Activation process in excitable systems with multiple noise sources: Large number of units
Igor FranoviÄ, Matjaz Perc, Kristina TodoroviÄ +2
We study the activation process in large assemblies of type II excitable units whose dynamics is influenced by two independent noise terms. The mean-field approach is applied to ex…
Adaptive and bounded investment returns promote cooperation in spatial public goods games
Xiaojie Chen, Yongkui Liu, Yonghui Zhou +2
The public goods game is one of the most famous models for studying the evolution of cooperation in sizable groups. The multiplication factor in this game can characterize the inve…
Complex synchronous behavior in interneuronal networks with delayed inhibitory and fast electrical synapses
Daqing Guo, Qingyun Wang, Matjaz Perc
Networks of fast-spiking interneurons are crucial for the generation of neural oscillations in the brain. Here we study the synchronous behavior of interneuronal networks that are…
Resolving social dilemmas on evolving random networks
Attila Szolnoki, Matjaz Perc
We show that strategy independent adaptations of random interaction networks can induce powerful mechanisms, ranging from the Red Queen to group selection, that promote cooperation…
Competition and cooperation among different punishing strategies in the spatial public goods game
Xiaojie Chen, Attila Szolnoki, Matjaz Perc
Inspired by the fact that people have diverse propensities to punish wrongdoers, we study a spatial public goods game with defectors and different types of punishing cooperators. D…
Chimera states in a multilayer network of coupled and uncoupled neurons
Soumen Majhi, Matjaz Perc, Dibakar Ghosh
We study the emergence of chimera states in a multilayer neuronal network, where one layer is composed of coupled and the other layer of uncoupled neurons. Through the multilayer s…
Activation process in excitable systems with multiple noise sources: One and two interacting units
Igor FranoviÄ, Kristina TodoroviÄ, Matjaz Perc +2
We consider the coaction of two distinct noise sources on the activation process of a single and two interacting excitable units, which are mathematically described by the Fitzhugh…
Strategic commitments shape collective cybersecurity under AI inequality
Adeela Bashir, Zia Ush Shamszaman, Zhao Song +2
The growing integration of AI into cybersecurity is reshaping the balance between attackers and defenders. When access to advanced AI-enabled defence tools is uneven, resource-limi…
Coevolutionary games - a mini review
Matjaz Perc, Attila Szolnoki
Prevalence of cooperation within groups of selfish individuals is puzzling in that it contradicts with the basic premise of natural selection. Favoring players with higher fitness,…
Impact of generalized benefit functions on the evolution of cooperation in spatial public goods games with continuous strategies
Xiaojie Chen, Attila Szolnoki, Matjaz Perc +1
Cooperation and defection may be considered as two extreme responses to a social dilemma. Yet the reality is much less clear-cut. Between the two extremes lies an interval of ambiv…
Evolution of the most common English words and phrases over the centuries
Matjaz Perc
By determining which were the most common English words and phrases since the beginning of the 16th century, we obtain a unique large-scale view of the evolution of written text. W…
Universality of political corruption networks
Alvaro F. Martins, Bruno R. da Cunha, Quentin S. Hanley +3
Corruption crimes demand highly coordinated actions among criminal agents to succeed. But research dedicated to corruption networks is still in its infancy and indeed little is kno…
Time irreversibility and amplitude irreversibility measures for nonequilibrium processes
Wenpo Yao, Jun Wang, Matjaz Perc +4
Time irreversibility, which characterizes nonequilibrium processes, can be measured based on the probabilistic differences between symmetric vectors. To simplify the quantification…
Antisocial pool rewarding does not deter public cooperation
Attila Szolnoki, Matjaz Perc
Rewarding cooperation is in many ways expected behaviour from social players. However, strategies that promote antisocial behaviour are also surprisingly common, not just in human…
Reentrant phase transitions and defensive alliances in social dilemmas with informed strategies
Attila Szolnoki, Matjaz Perc
Knowing the strategy of an opponent in a competitive environment conveys obvious evolutionary advantages. But this information is costly, and the benefit of being informed may not…
Reward and cooperation in the spatial public goods game
Attila Szolnoki, Matjaz Perc
The promise of punishment and reward in promoting public cooperation is debatable. While punishment is traditionally considered more successful than reward, the fact that the cost…
Collective behavior and evolutionary games - An introduction
Matjaz Perc, Paolo Grigolini
This is an introduction to the special issue titled "Collective behavior and evolutionary games" that is in the making at Chaos, Solitons & Fractals. The term collective behavior c…
Role-separating ordering in social dilemmas controlled by topological frustration
Marco A. Amaral, Matjaz Perc, Lucas Wardil +3
"Three is a crowd" is an old proverb that applies as much to social interactions, as it does to frustrated configurations in statistical physics models. Accordingly, social relatio…
Probabilistic sharing solves the problem of costly punishment
Xiaojie Chen, Attila Szolnoki, Matjaz Perc
Cooperators that refuse to participate in sanctioning defectors create the second-order free-rider problem. Such cooperators will not be punished because they contribute to the pub…
Impact of inter-city interactions on disease scaling
Nathalia A. Loureiro, Camilo R. Neto, Jack Sutton +2
Inter-city interactions are critical for the transmission of infectious diseases, yet their effects on the scaling of disease cases remain largely underexplored. Here, we use the c…
Chimera states: Effects of different coupling topologies
Bidesh K. Bera, Soumen Majhi, Dibakar Ghosh +1
Collective behavior among coupled dynamical units can emerge in various forms as a result of different coupling topologies as well as different types of coupling functions. Chimera…
The dynamics of laser droplet generation
Blaz Krese, Matjaz Perc, Edvard Govekar
We propose an experimental setup allowing for the characterization of laser droplet generation in terms of the underlying dynamics, primarily showing that the latter is determinist…
Global synchronization in generalized multilayer higher-order networks
Palash Kumar Pal, Md Sayeed Anwar, Matjaz Perc +1
Networks incorporating higher-order interactions are increasingly recognized for their ability to introduce novel dynamics into various processes, including synchronization. Previo…
History of art paintings through the lens of entropy and complexity
Higor Y. D. Sigaki, Matjaz Perc, Haroldo V. Ribeiro
Art is the ultimate expression of human creativity that is deeply influenced by the philosophy and culture of the corresponding historical epoch. The quantitative analysis of art i…
Evolution of cooperation on scale-free networks subject to error and attack
Matjaz Perc
We study the evolution of cooperation in the prisoner's dilemma and the snowdrift game on scale-free networks that are subjected to intentional and random removal of vertices. We s…
Evolutionary dynamics of group interactions on structured populations: A review
Matjaz Perc, Jesús Gómez-Gardeñes, Attila Szolnoki +2
Interactions among living organisms, from bacteria colonies to human societies, are inherently more complex than interactions among particles and nonliving matter. Group interactio…
Percolation threshold determines the optimal population density for public cooperation
Zhen Wang, Attila Szolnoki, Matjaz Perc
While worldwide census data provide statistical evidence that firmly link the population density with several indicators of social welfare, the precise mechanisms underlying these…
Evolutionary establishment of moral and double moral standards through spatial interactions
Dirk Helbing, Attila Szolnoki, Matjaz Perc +1
Situations where individuals have to contribute to joint efforts or share scarce resources are ubiquitous. Yet, without proper mechanisms to ensure cooperation, the evolutionary pr…
Optimal interdependence between networks for the evolution of cooperation
Zhen Wang, Attila Szolnoki, Matjaz Perc
Recent research has identified interactions between networks as crucial for the outcome of evolutionary games taking place on them. While the consensus is that interdependence does…
Heterogeneous aspirations promote cooperation in the prisoner's dilemma game
Matjaz Perc, Zhen Wang
To be the fittest is central to proliferation in evolutionary games. Individuals thus adopt the strategies of better performing players in the hope of successful reproduction. In s…
Towards effective payoffs in the prisoner's dilemma game on scale-free networks
Attila Szolnoki, Matjaz Perc, Zsuzsa Danku
We study the transition towards effective payoffs in the prisoner's dilemma game on scale-free networks by introducing a normalization parameter guiding the system from accumulated…
Trilobite tridents: hydrodynamic lift and stability mechanisms for queue formation
Hugh A. Trenchard, Carlton E. Brett, Matjaz Perc
The bizarre trident-like cephalic projections of Walliserops trifurcatus have previously been interpreted as sexually selected weapons for intraspecific combat. We propose an alter…
Stability of cooperation under image scoring in group interactions
Heinrich H. Nax, Matjaz Perc, Attila Szolnoki +1
Image scoring sustains cooperation in the repeated two-player prisoner's dilemma through indirect reciprocity, even though defection is the uniquely dominant selfish behaviour in t…
Success-driven distribution of public goods promotes cooperation but preserves defection
Matjaz Perc
Established already in the Biblical times, the Matthew effect stands for the fact that in societies rich tend to get richer and the potent even more powerful. Here we investigate a…
Does strong heterogeneity promote cooperation by group interactions?
Matjaz Perc
Previous research has highlighted the importance of strong heterogeneity for the successful evolution of cooperation in games governed by pairwise interactions. Here we determine t…
Optimal governance and implementation of vaccination programmes to contain the COVID-19 pandemic
Mahendra Piraveenan, Shailendra Sawleshwarkar, Michael Walsh +11
Since the recent introduction of several viable vaccines for SARS-CoV-2, vaccination uptake has become the key factor that will determine our success in containing the COVID-19 pan…
Collective dynamics of stock market efficiency
Luiz G. A. Alves, Higor Y. D. Sigaki, Matjaz Perc +1
Summarized by the efficient market hypothesis, the idea that stock prices fully reflect all available information is always confronted with the behavior of real-world markets. Whil…
A double-edged sword: Benefits and pitfalls of heterogeneous punishment in evolutionary inspection games
Matjaz Perc, Attila Szolnoki
As a simple model for criminal behavior, the traditional two-strategy inspection game yields counterintuitive results that fail to describe empirical data. The latter shows that cr…
Interpretable liquid crystal phase classification via two-by-two ordinal patterns
Leonardo G. J. M. Voltarelli, Natalia Osiecka-Drewniak, Marcin Piwowarczyk +4
Liquid crystal textures encode rich structural information, yet mapping these images to mesophase identity remains challenging because visually similar patterns can arise from dist…
Universal productivity patterns in research careers
Andre S. Sunahara, Matjaz Perc, Haroldo V. Ribeiro
A common expectation is that career productivity peaks rather early and then gradually declines with seniority. But whether this holds true is still an open question. Here we inves…
Mathematical foundations of moral preferences
Valerio Capraro, Matjaz Perc
One-shot anonymous unselfishness in economic games is commonly explained by social preferences, which assume that people care about the monetary payoffs of others. However, during…
Regulation of Irregular Neuronal Firing by Autaptic Transmission
Daqing Guo, Shengdun Wu, Mingming Chen +7
The importance of self-feedback autaptic transmission in modulating spike-time irregularity is still poorly understood. By using a biophysical model that incorporates autaptic coup…
Functional importance of noise in neuronal information processing
Daqing Guo, Matjaz Perc, Tiejun Liu +1
Noise is an inherent part of neuronal dynamics, and thus of the brain. It can be observed in neuronal activity at different spatiotemporal scales, including in neuronal membrane po…
Accuracy in strategy imitations promotes the evolution of fairness in the spatial ultimatum game
Attila Szolnoki, Matjaz Perc, Gyorgy Szabo
Spatial structure has a profound effect on the outcome of evolutionary games. In the ultimatum game, it leads to the dominance of much fairer players than those predicted to evolve…
A novel route to cyclic dominance in voluntary social dilemmas
Hao Guo, Zhao Song, SunÄana GeÄek +6
Cooperation is the backbone of modern human societies, making it a priority to understand how successful cooperation-sustaining mechanisms operate. Cyclic dominance, a non-transiti…
From degree-correlated to payoff-correlated activity for an optimal resolution of social dilemmas
Alberto Aleta, Sandro Meloni, Matjaz Perc +1
An active participation of players in evolutionary games depends on several factors, ranging from personal stakes to the properties of the interaction network. Diverse activity pat…
Solving the collective-risk social dilemma with risky assets in well-mixed and structured populations
Xiaojie Chen, Yanling Zhang, Ting-Zhu Huang +1
In the collective-risk social dilemma, players lose their personal endowments if contributions to the common pool are too small. This fact alone, however, does not always deter sel…
Dynamics on higher-order networks: A review
Soumen Majhi, Matjaz Perc, Dibakar Ghosh
Network science has evolved into an indispensable platform for studying complex systems. But recent research has identified limits of classical networks, where links connect pairs…
Defector-accelerated cooperativeness and punishment in public goods games with mutations
Dirk Helbing, Attila Szolnoki, Matjaz Perc +1
We study the evolution of cooperation in spatial public goods games with four competing strategies: cooperators, defectors, punishing cooperators, and punishing defectors. To explo…
Costly hide and seek pays: Unexpected consequences of deceit in a social dilemma
Attila Szolnoki, Matjaz Perc
Deliberate deceptiveness intended to gain an advantage is commonplace in human and animal societies. In a social dilemma, an individual may only pretend to be a cooperator to elici…