A modified Galam’s model for word-of-mouth information exchange

Ellero, Andrea; Fasano, Giovanni; Sorato, Annamaria

doi:10.1016/j.physa.2009.06.002

Cited by 23 publications

(20 citation statements)

References 17 publications

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“…Taking reward = 1, cost = 4 and punishment = 0, we have: N ∼ 15. This gives the mean field limit for the game can be reached with around 15 sites [10].…”

Section: Public Goods Gamementioning

confidence: 90%

Entanglement renders free riding redundant in the thermodynamic limit

Sarkar

Benjamin

2019

Physica A: Statistical Mechanics and its Applications

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The free rider problem is one of the most well studied problems in economics. The solution proposed mainly is punitive in order to deter people from free riding. In this work we introduce quantum strategies and also study the problem by using the mathematical structure of 1D Ising model in the infinite player limit. We observe that for maximum entanglement the quantum strategy is always the equilibrium solution, i.e., the strategy chosen by majority of the players independent of the payoffs, solving the free rider problem.

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“…Taking reward = 1, cost = 4 and punishment = 0, we have: N ∼ 15. This gives the mean field limit for the game can be reached with around 15 sites [10].…”

Section: Public Goods Gamementioning

confidence: 90%

Entanglement renders free riding redundant in the thermodynamic limit

Sarkar

Benjamin

2019

Physica A: Statistical Mechanics and its Applications

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“…Thirty years latter sociophysics, and more generally the formal modeling of social behavior, has became an active field of research among physicists, [10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27]. With the development of multi-agent technics computer scientists are now joining the physicists quite naturally along social simulation, [28,29].…”

Section: About Sociophysicsmentioning

confidence: 99%

Geometric vulnerability of democratic institutions against lobbying: A sociophysics approach

Galam

2017

Math. Models Methods Appl. Sci.

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An alternative voting scheme is proposed to fill the democratic gap between a president elected democratically via universal suffrage (deterministic outcome, the actual majority decides), and a president elected by one person randomly selected from the population (probabilistic outcome depending on respective supports). Indeed, moving from one voting agent to a group of r randomly selected voting agents, reduces the probabilistic character of the outcome. Accordingly, building r such groups, each one electing its president (elementary bricks), to constitute a group of the groups with the r local presidents electing a higher-level president, does reduce further the outcome probabilistic aspect. The process is then repeated n times to reach a bottom-up pyramidal structure with n levels, r n−1 elementary bricks at the bottom and a president at the top. Agents at the bottom are randomly * serge.galam@sciencespo.fr 1 arXiv:1701.02621v1 [physics.soc-ph] 10 Jan 2017 selected but higher-level presidents are all designated according to the respective local majorities within the groups which elect them. At the top of the hierarchy the president is still elected with a probability but the distance from a deterministic outcome reduces quickly with increasing n. At a critical value n c,r the outcome turns deterministic recovering the same result a universal suffrage would yield. This alternative hierarchical scheme introduces several social advantages like the distribution of local power to the competing minority, which thus makes the structure more resilient, yet preserving the presidency allocation to the actual majority. It also produces an area around fifty percent for which the president is elected with an almost equiprobability slightly biased in favor of the actual majority. However, our results reveal the existence of a severe geometric vulnerability to lobbying. It is shown that a tiny lobbying group is able to kill the democratic balance by seizing the presidency democratically. It is sufficient to complete a correlated distribution of a few agents at the hierarchy bottom. Moreover, at the present stage, identifying an actual killing distribution is not feasible, which sheds a disturbing light on the devastating effect geometric lobbying can have on democratic hierarchical institutions.

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“…Now, following the observations in [5] and [4], we can represent the recursive expression (2) in the space ( + ( ), + ( + 1)), so that the special point (ˆ + ,ˆ + ) in the resulting graph may be appointed (namely the killing point), satisfying the conditions 1 Note that with an obvious use of the symbols we have…”

Section: The Original Galam's Modelmentioning

confidence: 99%

A New Model for Estimating the Probability of Information Spreading with Opinion Leaders

2011

Self Cite

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Abstract.In this paper we analyze some issues related to the general problem of information spreading among individuals, where suitable assumptions on the information exchange are considered. In particular, starting from the scheme proposed in [5], which is based on a majority rule to treat the individuals' interaction, we define and introduce special individuals who play a key role in the information spreading. The latter will be addressed as opinion leaders, and have the special feature of strongly interfering with the process based on the majority rule. We consider a new model, where opinion leaders are introduced as special agents, and study its specific properties which significantly recast some conclusions worth for the model in [5]. Finally, we provide some results cocerning the dynamics of the model.

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A modified Galam’s model for word-of-mouth information exchange

Cited by 23 publications

References 17 publications

Entanglement renders free riding redundant in the thermodynamic limit

Entanglement renders free riding redundant in the thermodynamic limit

Geometric vulnerability of democratic institutions against lobbying: A sociophysics approach

A New Model for Estimating the Probability of Information Spreading with Opinion Leaders

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