Periodic frequencies of the cycles in 2 × 2 games: evidence from experimental economics

Xu, Bin; Wang, Shuang; Wang, Zhijian

doi:10.1140/epjb/e2014-31074-2

Cited by 9 publications

(17 citation statements)

References 35 publications

(103 reference statements)

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“…For very recent investigations of the Red Queen mechanism at the level of population dynamics we suggest reading the papers by Sardanyés and Solé [72] and Juul et al [73]. The cyclic variation in the strategy profiles has been observed by Xu et al [74] in human experiments.…”

Section: Decomposition Of Two-strategy Bi-matrix Gamesmentioning

confidence: 97%

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Evolutionary potential games on lattices

2016

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Game theory provides a general mathematical background to study the effect of pair interactions and evolutionary rules on the macroscopic behavior of multi-player games where players with a finite number of strategies may represent a wide scale of biological objects, human individuals, or even their associations. In these systems the interactions are characterized by matrices that can be decomposed into elementary matrices (games) and classified into four types. The concept of decomposition helps the identification of potential games and also the evaluation of the potential that plays a crucial role in the determination of the preferred Nash equilibrium, and defines the Boltzmann distribution towards which these systems evolve for suitable types of dynamical rules. This survey draws parallel between the potential games and the kinetic Ising type models which are investigated for a wide scale of connectivity structures. We discuss briefly the applicability of the tools and concepts of statistical physics and thermodynamics. Additionally the general features of ordering phenomena, phase transitions and slow relaxations are outlined and applied to evolutionary games. The discussion extends to games with three or more strategies. Finally we discuss what happens when the system is weakly driven out of the "equilibrium state" by adding non-potential components representing games of cyclic dominance.

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Section: Decomposition Of Two-strategy Bi-matrix Gamesmentioning

confidence: 97%

“…The Boltzmann distribution itself implies several general relationships among the first and second partial derivatives of the thermodynamic potentials [125,133,134] or the partition function as illustrated by Eq. (74). Examples are the Gibbs-Duhem relations and the Gibbs' phase rule.…”

Section: Consequences Of the Extremum Principlesmentioning

confidence: 99%

Evolutionary potential games on lattices

2016

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“…Similar endless races can be observed in social systems between buyers and sellers [27], property owners and criminals [28], males and females [29,30], or conformists and rebels [31]. The consideration of an evolutionary multi-agent system on network with this type of interactions prescribes two kinds of players distributed on bipartite graphs or lattices [32].…”

Section: T S -S T-1 -Smentioning

confidence: 89%

Congestion phenomena caused by matching pennies in evolutionary games

Szabó

Szolnoki

2015

Phys. Rev. E

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Evolutionary social dilemma games are extended by an additional matching-pennies game that modifies the collected payoffs. In a spatial version players are distributed on a square lattice and interact with their neighbors. First, we show that the matching-pennies game can be considered as the microscopic force of the Red Queen effect that breaks the detailed balance and induces eddies in the microscopic probability currents if the strategy update is analogous to the Glauber dynamics for the kinetic Ising models. The resulting loops in probability current breaks symmetry between the chessboardlike arrangements of strategies via a bottleneck effect occurring along the four-edge loops in the microscopic states. The impact of this congestion is analogous to the application of a staggered magnetic field in the Ising model; that is, the order-disorder critical transition is wiped out by noise. It is illustrated that the congestion induced symmetry breaking can be beneficial for the whole community within a certain region of parameters.

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“…Another important point is "time" are served as controlled variable in their experiments. (3) The third are the report from Xu, Wang and Wang (2012) [32]. In two-population random-matched 2×2 games with 12 different payoff-matrix parameters [25], the experimental frequencies is found to be linear positive related to the theoretical frequencies significant (>5σ).…”

Section: A Examples Of the Necessary Of Maxentmentioning

confidence: 92%

Test MaxEnt in social strategy transitions with experimental two-person constant sum 2 × 2 games

Wang

2012

Results in Physics

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Using laboratory experimental data, we test the uncertainty of social state transitions in various competing environments of fixed paired two-person constant sum 2 × 2 games. It firstly shows that, the distributions of social strategy transitions are not erratic but obey the principle of the maximum entropy (MaxEnt). This finding indicates that human subject social systems and natural systems could share wider common backgrounds.

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Periodic frequencies of the cycles in 2 × 2 games: evidence from experimental economics

Cited by 9 publications

References 35 publications

Evolutionary potential games on lattices

Evolutionary potential games on lattices

Congestion phenomena caused by matching pennies in evolutionary games

Test MaxEnt in social strategy transitions with experimental two-person constant sum 2 × 2 games

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