**Attila Szolnoki - Publications**

L. Liu, Z. Xiao, X. Chen, A. Szolnoki:

Early exclusion leads to cyclical cooperation in repeated group interactions

*J. R. Soc. Interface*
**19** (2022) 20210755

B.F. de Oliveira, A. Szolnoki:

Competition among alliances of different sizes

*Chaos, Solitons and Fractals*
**157** (2022) 111940

A. Szolnoki, X. Chen:

Tactical cooperation of defectors in a multi-stage public goods game

*Chaos, Solitons and Fractals*
**155** (2022) 111696

H.-W. Lee, C. Cleveland, A. Szolnoki:

Mercenary punishment in structured populations

*Appl. Math. Comput.*
**417** (2022) 126797

W. Sun, L. Liu, X. Chen, A. Szolnoki, V. V. Vasconcelos:

Combination of institutional incentives for cooperative governance of risky commons

D. Bazeia, M. Bongestab, B.F. de Oliveira, A. Szolnoki:

Effects of a pestilent species on the stability of cyclically dominant species

*Chaos, Solitons and Fractals*
**151** (2021) 111255

H.-W. Lee, C. Cleveland, A. Szolnoki:

Small fraction of selective cooperators can elevate general wellbeing significantly

A. Szolnoki, M. Perc:

The self-organizing impact of averaged payoffs on the evolution of cooperation

D. Bazeia, M. J. B. Ferreira, B.F. de Oliveira, A. Szolnoki:

Environment driven oscillation in an off-lattice May-Leonard model

F. Yan, X. Chen, Z.Qiu, A. Szolnoki:

Cooperator driven oscillation in a time-delayed feedback-evolving game

A. Szolnoki, X. Chen:

Cooperation and competition between pair and multi-player social games in spatial populations

B. F. de Oliveira, M.V. de Moraes, D. Bazeia, A. Szolnoki:

Mobility driven coexistence of living organisms

B. F. de Oliveira, A. Szolnoki:

Social dilemmas in off-lattice populations

*Chaos, Solitons and Fractals*
**144** (2021) 110743

D. Bazeia, B. F. de Oliveira, A. Szolnoki:

Breaking unidirectional invasions jeopardizes biodiversity in spatial May-Leonard systems

*Chaos, Solitons and Fractals*
**141** (2020) 110356

A. Szolnoki, B. F. de Oliveira, D. Bazeia:

Pattern formations driven by cyclic interactions: A brief review of recent developments

A. Szolnoki, X. Chen:

Strategy dependent learning activity in cyclic dominant systems

*Chaos, Solitons and Fractals*
**138** (2020) 109935

M. Blahota, I. Blahota, A. Szolnoki:

Equal partners do better in defensive alliances

A. Szolnoki, X. Chen:

Blocking defector invasion by focusing on the most successful partner

*Appl. Math. Comput.*
**385** (2020) 125430

Z. Xiao, X. Chen, A. Szolnoki:

Leaving bads provides better outcome than approaching goods in a social dilemma

A. Szolnoki, X. Chen:

Gradual learning supports cooperation in spatial prisoner's dilemma game

*Chaos, Solitons and Fractals*
**130** (2020) 109447

L. Liu, X. Chen, A. Szolnoki:

Evolutionary dynamics of cooperation in a population with probabilistic corrupt enforcers and violators

*Math. Models Methods Appl. Sci.* **29** (2019) 2127-2149

A. Szolnoki, M. Perc:

Seasonal payoff variations and the evolution of cooperation in social dilemmas

M. Cardinot, C. O'Riordan, J. Griffith, A. Szolnoki:

Mobility restores the mechanism which supports cooperation in the voluntary prisoner's dilemma game

*New. J. Phys.*
**21** (2019) 073038

S. Wang, X. Chen, A. Szolnoki:

Exploring optimal institutional incentives for public cooperation

*Commun. Nonlinear Sci. Numer. Simul.*
**79** (2019) 104914

D. Bazeia, B. F. de Oliveira, A. Szolnoki:

Invasion-controlled pattern formation in a generalized multispecies predator-prey system

Z. Danku, M. Perc, A. Szolnoki:

Knowing the past improves cooperation in the future

N. He, X. Chen, A. Szolnoki:

Central governance based on monitoring and reporting solves the collective-risk social dilemma

*Appl. Math. Comput.*
**347** (2019) 334-341

A. Szolnoki, X. Chen:

Competition and partnership between conformity and payoff-based imitations in social dilemmas

D. Bazeia, B. F. de Oliveira, A. Szolnoki:

Phase transitions in dependence of apex predator decaying ratio in a cyclic dominant system

A. Szolnoki, X. Chen:

Reciprocity-based cooperative phalanx maintained by overconfident players

A. Szolnoki, Z. Danku:

Dynamic-sensitive cooperation in the presence of multiple strategy updating rules

X. Chen, A. Szolnoki:

Punishment and inspection for governing the commons in a feedback-evolving game

*PLoS Comput. Biol.*
**14** (2018) e1006347

Z. Danku, Z. Wang, and A. Szolnoki:

Imitate or innovate: Competition of strategy updating attitudes in spatial social dilemma games

A. Szolnoki, M. Perc:

Evolutionary dynamics of cooperation in neutral populations

A. Szolnoki, X. Chen:

Environmental feedback drives cooperation in spatial social dilemmas

A. Szolnoki, M. Perc:

Second-Order Free-Riding on Antisocial Punishment Restores the Effectiveness of Prosocial Punishment

M. Perc, J. J. Jordan, D. G. Rand, Z. Wang, S. Boccaletti, A. Szolnoki:

Statistical physics of human cooperation

*Physics Reports*
**687** (2017) 1-51

A. Szolnoki, X. Chen:

Alliance formation with exclusion in the spatial public goods game

L. Liu, X. Chen, A. Szolnoki:

Competitions between prosocial exclusions and punishments in finite populations

M. A. Amaral, M. Perc, L. Wardil, A. Szolnoki, E. J. da Silva Júnior, J. K. L. da Silva:

Role-separating ordering in social dilemmas controlled by topological frustration

A. Szolnoki, M. Perc:

Biodiversity in models of cyclic dominance is preserved by heterogeneity in site-specific invasion rates

A. Szolnoki, X. Chen:

Cooperation driven by success-driven group formation

X. Chen, A. Szolnoki:

Individual wealth-based selection supports cooperation in spatial public goods games

A. Szolnoki, M. Perc:

Competition of tolerant strategies in the spatial public goods game

A. Szolnoki, M. Perc:

Zealots tame oscillations in the spatial rock-paper-scissors game

A. Szolnoki, M. Perc:

Collective influence in evolutionary social dilemmas

A. Szolnoki, M. Perc:

Leaders should not be conformists in evolutionary social dilemmas

Z. Wang, A. Szolnoki, M. Perc:

How Much Interconnected Should Networks be for Cooperation to Thrive?

in *Interconnected Networks*
(2016) 125-139

K. Li, A. Szolnoki, R. Cong, L. Wang:

The coevolution of overconfidence and bluffing in the resource competition game

A. Szolnoki, M. Perc:

Vortices determine the dynamics of biodiversity in cyclical interactions with protection spillovers

A. Szolnoki, X. Chen:

Benefits of tolerance in public goods games

A. Szolnoki, M. Perc:

Antisocial pool rewarding does not deter public cooperation

*Proc. R. Soc. B*
**282** (2015) 20151975

X. Chen, A. Szolnoki, M. Perc:

Competition and cooperation among different punishing strategies in the spatial public goods game

H. H. Nax, M.Perc, A. Szolnoki, D. Helbing:

Stability of cooperation under image scoring in group interactions

M.Perc, A. Szolnoki:

A double-edged sword: Benefits and pitfalls of heterogeneous punishment in evolutionary inspection games

A. Szolnoki, M. Perc:

Reentrant phase transitions and defensive alliances in social dilemmas with informed strategies

Z. Wang, L. Wang, A. Szolnoki, M. Perc:

Evolutionary games on multilayer networks: a colloquium

G. Szabó, A. Szolnoki:

Congestion phenomena caused by matching pennies in evolutionary games

A. Szolnoki, M. Perc:

Conformity enhances network reciprocity in evolutionary social dilemmas

*J. R. Soc. Interface*
**12** (2015) 20141299

A. Szolnoki, M. Perc:

Coevolutionary success-driven multigames

A. Szolnoki, M. Perc:

Costly hide and seek pays: Unexpected consequences of deceit in a social dilemma

Z. Wang, A. Szolnoki, M. Perc:

Different perceptions of social dilemmas: Evolutionary multigames in structured populations

A. Szolnoki, M. Mobilia, L.-L. Jiang, B. Szczesny, A. M. Rucklidge, M. Perc:

Cyclic dominance in evolutionary games: A review

*J. R. Soc. Interface*
**11** (2014) 20140735

X. Chen, A. Szolnoki, M. Perc:

Probabilistic sharing solves the problem of costly punishment

A. Szolnoki, M. Perc:

Defection and extortion as unexpected catalysts of unconditional cooperation in structured populations

A. Szolnoki, J. Vukov, M. Perc:

From pairwise to group interactions in games of cyclic dominance

A. Szolnoki:

The power of games

Invited comment on "Climate change governance, cooperation and self-organization" by Pacheco, Vasconcelos and Santos

*Phys. Life Rev.*
**11** (2014) 589-590

Z. Wang, A. Szolnoki, M. Perc:

Self-organization towards optimally interdependent networks by means of coevolution

A. Szolnoki, A. Antonioni, M. Tomassini, M. Perc:

Binary birth-death dynamics and the expansion of cooperation by means of self-organized growth

A. Szolnoki, M. Perc, M. Mobilia:

Facilitators on networks reveal optimal interplay between information exchange and reciprocity

Z. Wang, A. Szolnoki, M. Perc:

Rewarding evolutionary fitness with links between populations promotes cooperation

*J. Theor. Biol.*
**349** (2014) 50-56

A. Szolnoki, M. Perc:

Evolution of extortion in structured populations

A. Szolnoki, M. Perc:

Correlation of Positive and Negative Reciprocity Fails to Confer an Evolutionary Advantage: Phase Transitions to Elementary Strategies

J. Vukov, A. Szolnoki, G. Szabó:

Diverging fluctuations in a spatial five-species cyclic dominance game

Z. Wang, A. Szolnoki, M. Perc:

Optimal interdependence between networks for the evolution of cooperation

A. Szolnoki, M. Perc:

Decelerated invasion and waning-moon patterns in public goods games with delayed distribution

L.-L. Jiang, M. Perc, A. Szolnoki:

If Cooperation is Likely Punish Mildly: Insights from Economic Experiments Based on the Snowdrift Game

A. Szolnoki, M. Perc:

Information sharing promotes prosocial behaviour

A. Szolnoki, N.-G. Xie, Y. Ye, M. Perc:

Evolution of emotions on networks leads to the evolution of cooperation in social dilemmas

Z. Wang, A. Szolnoki, M. Perc:

Interdependent network reciprocity in evolutionary games

A. Szolnoki, M. Perc:

Effectiveness of conditional punishment for the evolution of public cooperation

*J. Theor. Biol.*
**325** (2013) 34-41

M. Perc, J. Gómez-Gardeñes, A. Szolnoki, L.M. Floría, Y. Moreno:

Evolutionary dynamics of group interactions on structured populations: a review

*J. R. Soc. Interface*
**10** (2013) 20120997

G. Szabó, A. Szolnoki, L. Czakó:

Coexistence of fraternity and egoism for spatial social dilemmas

*J. Theor. Biol.*
**317** (2013) 126-132

A. Szolnoki, M. Perc, G. Szabó:

Accuracy in strategy imitations promotes the evolution of fairness in the spatial ultimatum game

X. Chen, A. Szolnoki, M. Perc:

Risk-driven migration and the collective-risk dilemma

A. Szolnoki, M. Perc:

Evolutionary advantages of adaptive rewarding

X. Chen, A. Szolnoki, M. Perc:

Averting group failures in collective-risk social dilemmas

A. Szolnoki, M. Perc, G. Szabó:

Defense Mechanisms of Empathetic Players in the Spatial Ultimatum Game

*Phys. Rev. Lett.*
**109** (2012) 078701

A. Szolnoki, Z. Wang, M. Perc:

Wisdom of groups promotes cooperation in evolutionary social dilemmas

X. Chen, A. Szolnoki, M. Perc, L. Wang:

Impact of generalized benefit functions on the evolution of cooperation in spatial public goods games with continuous strategies

Z. Wang, A. Szolnoki, M. Perc:

If players are sparse social dilemmas are too: Importance of percolation for evolution of cooperation

M. Perc, A. Szolnoki:

Self-organization of punishment in structured populations

G. Szabó, A. Szolnoki:

Selfishness, fraternity, and other-regarding preference in spatial evolutionary games

*J. Theor. Biol.*
**299** (2012) 81-87

Z. Wang, A. Szolnoki, M. Perc:

Percolation threshold determines the optimal population density for public cooperation

A. Szolnoki, M. Perc:

Conditional strategies and the evolution of cooperation in spatial public goods games

Z. Wang, A. Szolnoki, M. Perc:

Evolution of public cooperation on interdependent networks: The impact of biased utility functions

A. Szolnoki, M. Perc:

Group-size effects on the evolution of cooperation in the spatial public goods game

A. Szolnoki, G. Szabó, L. Czakó:

Competition of individual and institutional punishments in spatial public goods games

A. Szolnoki, N.-G. Xie, C. Wang, M. Perc:

Imitating emotions instead of strategies in spatial games elevates social welfare

A. Szolnoki, G. Szabó, M. Perc:

Phase diagrams for the spatial public goods game with pool punishment

A. Szolnoki and M. Perc:

Reward and cooperation in the spatial public goods game

A. Szolnoki, Z. Wang, J. Wang, X. Zhu:

Dynamically generated cyclic dominance in spatial prisoner's dilemma games

G. Szabó, A. Szolnoki, M. Varga, L. Hanusovszky:

Ordering in spatial evolutionary games for pairwise collective strategy updates

D. Helbing, A. Szolnoki, M. Perc, G. Szabó:

Punish, but not too hard: how costly punishment spreads in the spatial public goods game

G. Szabó, A. Szolnoki, and J. Vukov:

Mechanisms Supporting Cooperation for the Evolutionary Prisoner's Dilemma Games

in
*Econophysics and Economics of Games, Social Choices and Quantitative Techniques* (2010) pp.24-31, Springer

D. Helbing, A. Szolnoki, M. Perc, G. Szabó:

Defector-accelerated cooperativeness and punishment in public goods games with mutations

A. Szolnoki and M. Perc:

Impact of critical mass on the evolution of cooperation in spatial public goods games

D. Helbing, A. Szolnoki, M. Perc, G. Szabó:

Evolutionary establishment of moral and double moral standards through spatial interactions

*PLoS Comput. Biol.*
**6** (2010) e1000758

M. Perc and A. Szolnoki:

Coevolutionary games - a mini review

A. Szolnoki, J. Vukov, and G. Szabó:

Selection of noise level in strategy adoption for spatial social dilemmas

A. Szolnoki and M. Perc:

Resolving social dilemmas on evolving random networks

G. Szabó, A. Szolnoki, and J. Vukov:

Selection of dynamical rules in spatial Prisoner's Dilemma games

A. Szolnoki, M. Perc, and G. Szabó:

Phase diagrams for three-strategy evolutionary prisoner's dilemma games on regular graphs

A. Szolnoki and M. Perc:

Emergence of multilevel selection in the prisoner's dilemma game on coevolving random networks

A. Szolnoki, M. Perc, and G. Szabó:

Topology independent impact of noise on cooperation in spatial public goods games

A. Szolnoki, M. Perc, G. Szabó, and H.-U. Stark:

Impact of aging on the evolution of cooperation in the spatial prisoner's dilemma game

A. Szolnoki and M. Perc:

Promoting cooperation in social dilemmas via simple coevolutionary rules

G. Szabó and A. Szolnoki:

Cooperation in spatial prisoner's dilemma with two types of players for increasing number of neighbors

A. Szolnoki, M. Perc, and Z. Danku:

Making new connections towards cooperation in the prisoner's dilemma game

M. Perc, A. Szolnoki, and G. Szabó:

Restricted connections among distinguished players support cooperation

G. Szabó, A. Szolnoki, and I. Borsos:

Self-organizing patterns maintained by competing associations in a six-species predator-prey model

A. Szolnoki and M. Perc:

Coevolution of teaching activity promotes cooperation

A. Szolnoki, M. Perc, and G. Szabó:

Diversity of reproduction rate supports cooperation in the prisoner's dilemma game on complex networks

J. Vukov, G. Szabó, and A. Szolnoki:

Evolutionary Prisoner's Dilemma game on the Newman-Watts networks

A. Szolnoki, M. Perc, and Z. Danku:

Towards effective payoffs in the prisoner's dilemma game on scale-free networks

G. Szabó and A. Szolnoki:

Phase transitions induced by variation of invasion rates in spatial cyclic predator-prey models with four or six species

M. Perc and A. Szolnoki:

Social diversity and promotion of cooperation in the spatial prisoner's dilemma game

G. Szabó, A. Szolnoki, and G. A. Sznaider:

Segregation process and phase transition in cyclic predator-prey models with even number of species

M. Perc and A. Szolnoki:

Noise-guided evolution within cyclical interactions

M. Perc, A. Szolnoki, and G. Szabó:

Cyclical interactions with alliance-specific heterogeneous invasion rates

A. Szolnoki and G. Szabó:

Cooperation enhanced by inhomogeneous activity of teaching for evolutionary Prisoner's dilemma games

*Europhys.
Lett. ***77** (2007) 30004

J. Vukov, G. Szabó, and A. Szolnoki:

Cooperation in noisy case: prisoner's dilemma game on two types of regular random graphs

G. Szabó, J. Vukov, and A. Szolnoki:

Phase diagrams for evolutionary Prisoner's Dilemma game on two-dimensional lattices

G. Ódor and A. Szolnoki:

Cluster mean-field study of the parity-conserving phase transition

A. Szolnoki, G. Szabó, and M. Ravasz:

Three-state Potts model in combination with the rock-scissors-paper game

A. Szolnoki and G. Szabó:

Phase transitions for rock-scissors-paper game on different networks

A. Szolnoki and G. Szabó:

Vertex dynamics during domain growth in three-state models

M. Ravasz, G. Szabó, and A. Szolnoki:

Spreading of families in cyclic predator-prey models

G. Szabó, A. Szolnoki, and R. Izsák:

Rock-scissors-paper game on regular small-world networks

*J.
Phys. A: Math. Gen.* **37** (2004) 2599

A. Szolnoki:

Dynamical mean-field approximation for a diffusive pair contact process

A. Szolnoki:

Dynamical mean-field approximation for pair contact process with a particle source

A. Szolnoki and G. Szabó:

Influence of extended dynamics on phase transitions in a driven lattice gas

G. Szabó and A. Szolnoki:

A three-state cyclic voter model extended with Potts energy

A. Szolnoki:

Kinetic Ising Model with Modified Kawasaki Dynamics: First-order Transition

*AIP
Conf. Proc.* **574** (2001) 144

A. Szolnoki:

Phase transitions in the kinetic Ising model with competing dynamics

A. Szolnoki:

Novel stationary state in a non-equlibrium model with competing dynamics

*Comp.
Phys. Com.* **121** (1999) 742

A. Szolnoki:

Stationary state in a two-temperature model with competing dynamics

A. Szolnoki:

Non-equilibrium phase transition in a two-temperature lattice gas

*J.
Phys. A: Math. Gen.* **30** (1997) 7791

A. Szolnoki, G. Szabó, O. G. Mouritsen:

Anisotropic ordering in a two-temperature lattice gas

G. Szabó, A. Szolnoki, T. Antal, and I. Borsos:

Self-organizing domain structure in a driven lattice gas

G. Ódor and A. Szolnoki:

Directed percolation conjecture for cellular automata is revisited

G. Szabó and A. Szolnoki:

Generalized mean-field study of a driven lattice gas

G. Szabó, A. Szolnoki, and T. Antal,:

Anisotropic polydomain structure in a driven lattice gas with repulsive interaction

G. Szabó, A. Szolnoki, T. Antal, and I. Borsos:

Interface instability in driven lattice gases

A. Szolnoki and G. Szabó:

Breaking of forward-backward symmetry in driven systems

G. Szabó and A. Szolnoki:

Coupled-chain approximation for driven lattice-gas models

G. Szabó, A. Szolnoki, Z. Juhász, G. Ódor:

Enhanced fluctuations in driven lattice gases

G. Szabó, A. Szolnoki, and G. Ódor:

Orientation in a driven lattice gas

G. Szabó, A. Szolnoki, and L. Bodócs:

Correlations induced by transport in a one-dimensional lattice gas

G. Szabó and A. Szolnoki:

Transport driven reorientation in a square lattice gas model

Last modified: March 23, 2022