Attila Szolnoki - Publications


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

Context-sensitive norm enforcement reduces sanctioning costs in spatial public goods games

Appl. Math. Comput. 508 (2026) 129626 pdf pdf


J. Han, B. Pi, X. Chen, A. Szolnoki:

Public goods cooperation via group interaction with opponent selection

Chaos, Solitons and Fractals 199 (2025) 116821 pdf pdf


L. Wang, S. Hua, Y. Liu, Z. Lu, L. Zhang, L. Liu, A. Szolnoki:

Strategic competition in informal risk-sharing mechanisms versus collective index insurance

J. R. Soc. Interface 22 (2025) 20250163 pdf pdf


H. Yue, X. Xiong, M. Feng, A. Szolnoki:

Dynamic evolution of cooperation based on adaptive reputation threshold and game transition

Chaos, Solitons and Fractals 199 (2025) 116693 pdf pdf


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

Evolutionary Dynamics of Population Games With an Aspiration-Based Learning Rule

IEEE Trans. Neural Netw. Learn. Syst. 36 (2025) 8387-8400 pdf pdf


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

Evolutionary dynamics in state-feedback public goods games with peer punishment

Chaos 35 (2025) 043138 pdf pdf


K. Xie, A. Szolnoki:

Reputation in public goods cooperation under double 𝑄-learning protocol

Chaos, Solitons and Fractals 196 (2025) 116398 pdf pdf


J. Luo, D. Lin, X. Chen, A. Szolnoki:

Evolutionary dynamics of continuous public goods games in structured populations

Chaos 35 (2025) 043115 pdf pdf


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

Coevolutionary dynamics of feedback-evolving games in structured populations

Chaos, Solitons and Fractals 193 (2025) 116070 pdf pdf


L.-L. Jiang, Y.-M. Li, W.-J. Li, A. Szolnoki:

Combined effect of incentives and coupling in multigames in two-layer networks

J. Phys.: Complex. 6 (2025) 015003 pdf pdf


T. Ling, Z. Li, M. Feng, A. Szolnoki:

Supervised cooperation on interdependent public goods games

Appl. Math. Comput. 492 (2025) 129249 pdf pdf


H. Yue, X. Xiong, M. Feng, A. Szolnoki:

Coevolution of relationship-driven cooperation under recommendation protocol on multiplex networks

Chaos, Solitons and Fractals 190 (2025) 115753 pdf pdf


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

Evolutionary dynamics of any multiplayer game on regular graphs

Nat. Commun. 15 (2024) 5349 pdf pdf


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

Suppressing defection by increasing temptation: The impact of smart cooperators on a social dilemma situation

Appl. Math. Comput. 479 (2024) 128864 pdf pdf


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

Nash Equilibrium in Macro-Task Crowdsourcing Systems With Collective-Effort-Dependent Rewarding

IEEE Trans. Netw. Sci. Eng. 11 (2024) 2689-2702 pdf pdf


C. Wang, A. Szolnoki:

Competition between self- and other-regarding preferences in resolving social dilemmas

New J. Phys. 26 (2024) 053018 pdf pdf


A. Szolnoki, X. Chen:

When faster rotation is harmful: The competition of alliances with inner blocking mechanism

Phys. Rev. Res. 6 (2024) 023087 pdf pdf


K. Feng, S. Han, M. Feng, A. Szolnoki:

An evolutionary game with reputation-based imitation-mutation dynamics

Appl. Math. Comput. 472 (2024) 128618 pdf pdf


J. Han, X. Chen, A. Szolnoki:

When selection pays: Structured public goods game with a generalized interaction mode

Chaos 34 (2024) 033124 pdf pdf


X. Xiong, Z. Zeng, M. Feng, A. Szolnoki:

Coevolution of relationship and interaction in cooperative dynamical multiplex networks

Chaos 34 (2024) 023118 pdf pdf


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

Supporting punishment via taxation in a structured population

Chaos, Solitons and Fractals 178 (2024) 114385 pdf pdf


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

State-Dependent Optimal Incentive Allocation Protocols for Cooperation in Public Goods Games on Regular Networks

IEEE Trans. Netw. Sci. Eng. 10 (2023) 3975-3988 pdf pdf


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

Evolution of cooperation driven by sampling reward

J. Phys. Complexity 4 (2023) 045003 pdf pdf


C. Liu, K. Lu, X. Chen, A. Szolnoki:

Game-theoretical approach for task allocation problems with constraints

Appl. Math. Comput. 458 (2023) 128251 pdf pdf


C. Wang, W. Zhu, A. Szolnoki:

When greediness and self-confidence meet in a social dilemma

Physica A 625 (2023) 129033 pdf pdf


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

Restoring spatial cooperation with myopic agents in a three-strategy social dilemma

Appl. Math. Comput. 458 (2023) 128226 pdf pdf


C. Wang, W. Zhu, A. Szolnoki:

The conflict between self-interaction and updating passivity in the evolution of cooperation

Chaos, Solitons and Fractals 173 (2023) 113667 pdf pdf


A. Szolnoki, X. Chen:

Emerging solutions from the battle of defensive alliances

Sci. Rep. 13 (2023) 8472 pdf pdf


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

Coevolutionary dynamics via adaptive feedback in collective-risk social dilemma game

eLife 12 (2023) e82954 pdf pdf


C. Wang, A. Szolnoki:

Inertia in spatial public goods games under weak selection

Appl. Math. Comput. 449 (2023) 127941 pdf pdf


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

Evolution of cooperation driven by sampling punishment

Phys. Lett. A 475 (2023) 128879 pdf pdf


C. Wang, A. Szolnoki:

Evolution of cooperation under a generalized death-birth process

Phys. Rev. E 107 (2023) 024303 pdf pdf


S. Wang, X. Chen, Z. Xiao, A. Szolnoki, V. V. Vasconcelos:

Optimization of institutional incentives for cooperation in structured populations

J. R. Soc. Interface 20 (2023) 20220653 pdf pdf


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

Group-size dependent synergy in heterogeneous populations

Chaos, Solitons and Fractals 167 (2023) 113055 pdf pdf


A. Szolnoki, M. Perc:

Oppressed species can form a winning pair in a multi-species ecosystem

Appl. Math. Comput. 438 (2023) 127568 pdf pdf


J. Park, X. Chen, A. Szolnoki:

Competition of alliances in a cyclically dominant eight-species population

Chaos, Solitons and Fractals 166 (2023) 113004 pdf pdf


C. Wang, A. Szolnoki:

A reversed form of public goods game: equivalence and difference

New J. Phys. 24 (2022) 123030 pdf pdf


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

When costly migration helps to improve cooperation

Chaos 32 (2022) 093103 pdf pdf pdf


K. Sun, Y. Liu, X. Chen, A. Szolnoki:

Evolution of trust in a hierarchical population with punishing investors

Chaos, Solitons and Fractals 162 (2022) 112413 pdf pdf


Z. Li, X. Chen, H-X. Yang, A. Szolnoki:

Game-theoretical approach for opinion dynamics on social networks

Chaos 32 (2022) 073117 pdf pdf


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

Decentralized incentives for general well-being in networked public goods game

Appl. Math. Comput. 431 (2022) 127308 pdf pdf


C. Wang, A. Szolnoki:

Involution game with spatio-temporal heterogeneity of social resources

Appl. Math. Comput. 430 (2022) 127307 pdf pdf


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 pdf pdf


B.F. de Oliveira, A. Szolnoki:

Competition among alliances of different sizes

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


A. Szolnoki, X. Chen:

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

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


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

Mercenary punishment in structured populations

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


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

Combination of institutional incentives for cooperative governance of risky commons

iScience 24 (2021) 102844 pdf pdf


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 pdf pdf


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

Small fraction of selective cooperators can elevate general wellbeing significantly

Physica A 582 (2021) 126222 pdf pdf


A. Szolnoki, M. Perc:

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

New J. Phys. 23 (2021) 063068 pdf pdf


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

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

Sci. Rep. 11 (2021) 12512 pdf pdf


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

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

New J. Phys. 23 (2021) 053017 pdf pdf


A. Szolnoki, X. Chen:

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

Sci. Rep. 11 (2021) 12101 pdf pdf


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

Mobility driven coexistence of living organisms

Physica A 572 (2021) 125854 pdf pdf


B. F. de Oliveira, A. Szolnoki:

Social dilemmas in off-lattice populations

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


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 pdf pdf


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

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

EPL 131 (2020) 68001 pdf pdf


A. Szolnoki, X. Chen:

Strategy dependent learning activity in cyclic dominant systems

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


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

Equal partners do better in defensive alliances

EPL 131 (2020) 58002 pdf pdf


A. Szolnoki, X. Chen:

Blocking defector invasion by focusing on the most successful partner

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


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

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

New J. Phys. 22 (2020) 023012 pdf pdf


A. Szolnoki, X. Chen:

Gradual learning supports cooperation in spatial prisoner's dilemma game

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


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 pdf pdf


A. Szolnoki, M. Perc:

Seasonal payoff variations and the evolution of cooperation in social dilemmas

Sci. Rep. 9 (2019) 12575 pdf pdf


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 pdf pdf


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

Exploring optimal institutional incentives for public cooperation

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


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

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

Phys. Rev. E 98 (2019) 052408 pdf pdf


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

Knowing the past improves cooperation in the future

Sci. Rep. 9 (2019) 262 pdf pdf


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 pdf pdf


A. Szolnoki, X. Chen:

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

New J. Phys. 20 (2018) 093008 pdf pdf


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

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

EPL 124 (2018) 68001 pdf pdf pdf


A. Szolnoki, X. Chen:

Reciprocity-based cooperative phalanx maintained by overconfident players

Phys. Rev. E 98 (2018) 022309 pdf pdf


A. Szolnoki, Z. Danku:

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

Physica A 511 (2018) 371-377 pdf pdf


X. Chen, A. Szolnoki:

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

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


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

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

EPL 121 (2018) 18002 pdf pdf pdf


A. Szolnoki, M. Perc:

Evolutionary dynamics of cooperation in neutral populations

New J. Phys. 20 (2018) 013031 pdf pdf


A. Szolnoki, X. Chen:

Environmental feedback drives cooperation in spatial social dilemmas

EPL 120 (2017) 58001 pdf pdf


A. Szolnoki, M. Perc:

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

Phys. Rev. X 7 (2017) 041027 pdf pdf


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 pdf pdf


A. Szolnoki, X. Chen:

Alliance formation with exclusion in the spatial public goods game

Phys. Rev. E 95 (2017) 052316 pdf pdf


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

Competitions between prosocial exclusions and punishments in finite populations

Sci. Rep. 7 (2017) 46634 pdf pdf


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

Phys. Rev. E 95 (2017) 032307 pdf pdf


A. Szolnoki, M. Perc:

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

Sci. Rep. 6 (2016) 38608 pdf pdf


A. Szolnoki, X. Chen:

Cooperation driven by success-driven group formation

Phys. Rev. E 94 (2016) 042311 pdf pdf


X. Chen, A. Szolnoki:

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

Sci. Rep. 6 (2016) 32802 pdf pdf


A. Szolnoki, M. Perc:

Competition of tolerant strategies in the spatial public goods game

New J. Phys. 18 (2016) 083021 pdf pdf pdf


A. Szolnoki, M. Perc:

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

Phys. Rev. E 93 (2016) 062307 pdf pdf pdf


A. Szolnoki, M. Perc:

Collective influence in evolutionary social dilemmas

EPL 113 (2016) 58004 pdf pdf pdf


A. Szolnoki, M. Perc:

Leaders should not be conformists in evolutionary social dilemmas

Sci. Rep. 6 (2016) 23633 pdf pdf


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

How Much Interconnected Should Networks be for Cooperation to Thrive?

in Interconnected Networks (2016) 125-139 pdf


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

The coevolution of overconfidence and bluffing in the resource competition game

Sci. Rep. 6 (2016) 21104 pdf pdf


A. Szolnoki, M. Perc:

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

New J. Phys. 17 (2015) 113033 pdf pdf


A. Szolnoki, X. Chen:

Benefits of tolerance in public goods games

Phys. Rev. E 92 (2015) 042813 pdf pdf


A. Szolnoki, M. Perc:

Antisocial pool rewarding does not deter public cooperation

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


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

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

Phys. Rev. E 92 (2015) 012819 pdf pdf


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

Stability of cooperation under image scoring in group interactions

Sci. Rep. 5 (2015) 12145 pdf pdf


M.Perc, A. Szolnoki:

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

Sci. Rep. 5 (2015) 11027 pdf pdf


A. Szolnoki, M. Perc:

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

EPL 110 (2015) 38003 pdf pdf pdf pdf pdf


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

Evolutionary games on multilayer networks: a colloquium

Eur. Phys. J. B 88 (2015) 124 pdf pdf pdf pdf


G. Szabó, A. Szolnoki:

Congestion phenomena caused by matching pennies in evolutionary games

Phys. Rev. E 91 (2015) 032110 pdf pdf


A. Szolnoki, M. Perc:

Conformity enhances network reciprocity in evolutionary social dilemmas

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


A. Szolnoki, M. Perc:

Coevolutionary success-driven multigames

EPL 108 (2014) 28004 pdf pdf


A. Szolnoki, M. Perc:

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

New J. Phys. 16 (2014) 113003 pdf pdf pdf pdf


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

Different perceptions of social dilemmas: Evolutionary multigames in structured populations

Phys. Rev. E 90 (2014) 032813 pdf pdf


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 pdf pdf pdf


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

Probabilistic sharing solves the problem of costly punishment

New J. Phys. 16 (2014) 083016 pdf pdf pdf


A. Szolnoki, M. Perc:

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

Sci. Rep. 4 (2014) 5496 pdf pdf


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

From pairwise to group interactions in games of cyclic dominance

Phys. Rev. E 89 (2014) 062125 pdf pdf


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 pdf


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

Self-organization towards optimally interdependent networks by means of coevolution

New J. Phys. 16 (2014) 033041 pdf pdf pdf


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

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

EPL 105 (2014) 48001 pdf pdf pdf


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

Facilitators on networks reveal optimal interplay between information exchange and reciprocity

Phys. Rev. E 89 (2014) 042802 pdf pdf


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

Rewarding evolutionary fitness with links between populations promotes cooperation

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


A. Szolnoki, M. Perc:

Evolution of extortion in structured populations

Phys. Rev. E 89 (2014) 022804 pdf pdf


A. Szolnoki, M. Perc:

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

Phys. Rev. X 3 (2013) 041021 pdf pdf


J. Vukov, A. Szolnoki, G. Szabó:

Diverging fluctuations in a spatial five-species cyclic dominance game

Phys. Rev. E 88 (2013) 022123 pdf pdf


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

Optimal interdependence between networks for the evolution of cooperation

Sci. Rep. 3 (2013) 2470 pdf pdf


A. Szolnoki, M. Perc:

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

Phys. Rev. E 87 (2013) 054801 pdf pdf


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

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

PLoS ONE 8 (2013) e64677 pdf pdf


A. Szolnoki, M. Perc:

Information sharing promotes prosocial behaviour

New J. Phys. 15 (2013) 053010 pdf pdf


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

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

Phys. Rev. E 87 (2013) 042805 pdf pdf


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

Interdependent network reciprocity in evolutionary games

Sci. Rep. 3 (2013) 1183 pdf pdf pdf


A. Szolnoki, M. Perc:

Effectiveness of conditional punishment for the evolution of public cooperation

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


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 pdf pdf pdf


G. Szabó, A. Szolnoki, L. Czakó:

Coexistence of fraternity and egoism for spatial social dilemmas

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


A. Szolnoki, M. Perc, G. Szabó:

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

EPL 100 (2012) 28005 pdf pdf


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

Risk-driven migration and the collective-risk dilemma

Phys. Rev. E 86 (2012) 036101 pdf pdf


A. Szolnoki, M. Perc:

Evolutionary advantages of adaptive rewarding

New J. Phys. 14 (2012) 093016 pdf pdf pdf pdf pdf


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

Averting group failures in collective-risk social dilemmas

EPL 99 (2012) 68003 pdf pdf


A. Szolnoki, M. Perc, G. Szabó:

Defense Mechanisms of Empathetic Players in the Spatial Ultimatum Game

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


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

Wisdom of groups promotes cooperation in evolutionary social dilemmas

Sci. Rep. 2 (2012) 576 pdf pdf pdf


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

Phys. Rev. E 85 (2012) 066133 pdf pdf


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

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

Sci. Rep. 2 (2012) 369 pdf pdf


M. Perc, A. Szolnoki:

Self-organization of punishment in structured populations

New J. Phys. 14 (2012) 043013 pdf pdf


G. Szabó, A. Szolnoki:

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

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


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

Percolation threshold determines the optimal population density for public cooperation

Phys. Rev. E 85 (2012) 037101 pdf pdf pdf


A. Szolnoki, M. Perc:

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

Phys. Rev. E 85 (2012) 026104 pdf pdf pdf pdf


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

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

EPL 97 (2012) 48001 pdf pdf pdf pdf pdf pdf


A. Szolnoki, M. Perc:

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

Phys. Rev. E 84 (2011) 047102 pdf pdf pdf


A. Szolnoki, G. Szabó, L. Czakó:

Competition of individual and institutional punishments in spatial public goods games

Phys. Rev. E 84 (2011) 046106 pdf pdf pdf pdf pdf pdf


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

Imitating emotions instead of strategies in spatial games elevates social welfare

EPL 96 (2011) 38002 pdf pdf pdf


A. Szolnoki, G. Szabó, M. Perc:

Phase diagrams for the spatial public goods game with pool punishment

Phys. Rev. E 83 (2011) 036101 pdf pdf pdf


A. Szolnoki and M. Perc:

Reward and cooperation in the spatial public goods game

EPL 92 (2010) 38003 pdf pdf pdf pdf


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

Dynamically generated cyclic dominance in spatial prisoner's dilemma games

Phys. Rev. E 82 (2010) 036110 pdf pdf pdf pdf


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

Ordering in spatial evolutionary games for pairwise collective strategy updates

Phys. Rev. E 82 (2010) 026110 pdf pdf pdf


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

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

New J. Phys. 12 (2010) 083005 pdf pdf pdf pdf pdf


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 pdf


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

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

Phys. Rev. E 81 (2010) 057104 pdf pdf pdf pdf pdf


A. Szolnoki and M. Perc:

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

Phys. Rev. E 81 (2010) 057101 pdf pdf pdf pdf


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 pdf pdf pdf pdf pdf pdf pdf pdf


M. Perc and A. Szolnoki:

Coevolutionary games - a mini review

BioSystems 99 (2010) 109 pdf pdf pdf pdf pdf pdf


A. Szolnoki, J. Vukov, and G. Szabó:

Selection of noise level in strategy adoption for spatial social dilemmas

Phys. Rev. E 80 (2009) 056112 pdf pdf pdf pdf


A. Szolnoki and M. Perc:

Resolving social dilemmas on evolving random networks

EPL 86 (2009) 30007 pdf pdf pdf pdf


G. Szabó, A. Szolnoki, and J. Vukov:

Selection of dynamical rules in spatial Prisoner's Dilemma games

EPL 87 (2009) 18007 pdf pdf pdf


A. Szolnoki, M. Perc, and G. Szabó:

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

Phys. Rev. E 80 (2009) 056104 pdf pdf pdf pdf


A. Szolnoki and M. Perc:

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

New J. Phys. 11 (2009) 093033 pdf pdf pdf


A. Szolnoki, M. Perc, and G. Szabó:

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

Phys. Rev. E 80 (2009) 056109 pdf pdf pdf pdf


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

Phys. Rev. E 80 (2009) 021901 pdf pdf pdf pdf pdf pdf


A. Szolnoki and M. Perc:

Promoting cooperation in social dilemmas via simple coevolutionary rules

Eur. Phys. J. B 67 (2009) 337 pdf pdf


G. Szabó and A. Szolnoki:

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

Phys. Rev. E 79 (2009) 016106 pdf pdf pdf


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

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

EPL 84 (2008) 50007 pdf pdf pdf pdf


M. Perc, A. Szolnoki, and G. Szabó:

Restricted connections among distinguished players support cooperation

Phys. Rev. E 78 (2008) 066101 pdf pdf pdf


G. Szabó, A. Szolnoki, and I. Borsos:

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

Phys. Rev. E 77 (2008) 041919 pdf pdf pdf pdf


A. Szolnoki and M. Perc:

Coevolution of teaching activity promotes cooperation

New J. Phys. 10 (2008) 043036 pdf pdf pdf


A. Szolnoki, M. Perc, and G. Szabó:

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

Eur. Phys. J. B 61 (2008) 505 pdf pdf pdf


J. Vukov, G. Szabó, and A. Szolnoki:

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

Phys. Rev. E 77 (2008) 026109 pdf pdf pdf


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

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

Physica A 387 (2008) 2075 pdf pdf pdf pdf


G. Szabó and A. Szolnoki:

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

Phys. Rev. E 77 (2008) 011906 pdf pdf pdf pdf


M. Perc and A. Szolnoki:

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

Phys. Rev. E 77 (2008) 011904 pdf pdf pdf pdf pdf pdf pdf


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

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

Phys. Rev. E 76 (2007) 051921 pdf pdf pdf pdf


M. Perc and A. Szolnoki:

Noise-guided evolution within cyclical interactions

New J. Phys. 9 (2007) 267 pdf pdf


M. Perc, A. Szolnoki, and G. Szabó:

Cyclical interactions with alliance-specific heterogeneous invasion rates

Phys. Rev. E 75 (2007) 052102 pdf pdf pdf


A. Szolnoki and G. Szabó:

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

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


J. Vukov, G. Szabó, and A. Szolnoki:

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

Phys. Rev. E 73 (2006) 067103 pdf pdf pdf pdf


G. Szabó, J. Vukov, and A. Szolnoki:

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

Phys. Rev. E 72 (2005) 047107 pdf pdf pdf pdf pdf pdf


G. Ódor and A. Szolnoki:

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

Phys. Rev. E 71 (2005) 066128 pdf pdf


A. Szolnoki, G. Szabó, and M. Ravasz:

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

Phys. Rev. E 71 (2005) 027102 pdf pdf


A. Szolnoki and G. Szabó:

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

Phys. Rev. E 70 (2004) 037102 pdf pdf pdf pdf pdf


A. Szolnoki and G. Szabó:

Vertex dynamics during domain growth in three-state models

Phys. Rev. E 70 (2004) 027101 pdf pdf


M. Ravasz, G. Szabó, and A. Szolnoki:

Spreading of families in cyclic predator-prey models

Phys. Rev. E 70 (2004) 012901 pdf pdf pdf pdf


G. Szabó, A. Szolnoki, and R. Izsák:

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

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


A. Szolnoki:

Dynamical mean-field approximation for a diffusive pair contact process

arXiv:cond-mat/0408114v2 pdf


A. Szolnoki:

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

Phys. Rev. E 66 (2002) 057102 pdf pdf


A. Szolnoki and G. Szabó:

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

Phys. Rev. E 65 (2002) 047101 pdf pdf


G. Szabó and A. Szolnoki:

A three-state cyclic voter model extended with Potts energy

Phys. Rev. E 65 (2002) 036115 pdf pdf pdf


A. Szolnoki:

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

AIP Conf. Proc. 574 (2001) 144 pdf


A. Szolnoki:

Phase transitions in the kinetic Ising model with competing dynamics

Phys. Rev. E 62 (2000) 7466 pdf pdf


A. Szolnoki:

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

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


A. Szolnoki:

Stationary state in a two-temperature model with competing dynamics

Phys. Rev. E 60 (1999) 2425 pdf pdf


A. Szolnoki:

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

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


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

Anisotropic ordering in a two-temperature lattice gas

Phys. Rev. E 55 (1997) 2255 pdf pdf


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

Self-organizing domain structure in a driven lattice gas

Phys. Rev. E 55 (1997) 5275 pdf pdf


G. Ódor and A. Szolnoki:

Directed percolation conjecture for cellular automata is revisited

Phys. Rev. E 53 (1996) 2231 pdf pdf


G. Szabó and A. Szolnoki:

Generalized mean-field study of a driven lattice gas

Phys. Rev. E 53 (1996) 2196 pdf


G. Szabó, A. Szolnoki, and T. Antal,:

Anisotropic polydomain structure in a driven lattice gas with repulsive interaction

Phys. Rev. E 49 (1994) 299 pdf


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

Interface instability in driven lattice gases

Fractals 1 (1993) 954 pdf


A. Szolnoki and G. Szabó:

Breaking of forward-backward symmetry in driven systems

Phys. Rev. E 48 (1993) 611 pdf


G. Szabó and A. Szolnoki:

Coupled-chain approximation for driven lattice-gas models

Phys. Rev. B 47 (1993) 8260 pdf


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

Enhanced fluctuations in driven lattice gases

Physica A 191 (1992) 445 pdf


G. Szabó, A. Szolnoki, and G. Ódor:

Orientation in a driven lattice gas

Phys. Rev. B 46 (1992) 11432 pdf


G. Szabó, A. Szolnoki, and L. Bodócs:

Correlations induced by transport in a one-dimensional lattice gas

Phys. Rev. A 44 (1991) 6375 pdf


G. Szabó and A. Szolnoki:

Transport driven reorientation in a square lattice gas model

Phys. Rev. A 41 (1990) 2235 pdf