Test the principle of maximum entropy in constant sum game: Evidence in experimental economics

Xu, Bin; Zhang, Hongen; Wang, Zhijian; Zhang, Jianbo

doi:10.1016/j.physleta.2012.02.047

Cited by 7 publications

(11 citation statements)

References 10 publications

(17 reference statements)

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“…This picture has been well built [24] to unify the evolutionary theorems in biology science and social science. Our findings of the social behavior fitting MaxEnt, both in dynamic respect in this report and in static respect in [36], suggest that human subject social systems and natural systems could have wider common backgrounds.…”

Section: Maxent As a Link Between Nature And Social Sciencesupporting

confidence: 52%

“…The main result of this report is that, the social strategy transitions are not erratic but governed by MaxEnt suggested by Jaynes [19]. This result comes from the dynamical observables in the experiments of human subject competing games [14,36].…”

Section: Discussionmentioning

confidence: 67%

“…For the future investigations, several points need to be considered. As we have shown in static [36] and in one step (x t±1 ) dynamics social behaviors obey MaxEnt, dose any step transitions always obey MaxEnt? What is the bound of the MaxEnt in social interaction systems?…”

Section: Maxent As a Link Between Nature And Social Sciencementioning

confidence: 89%

“…These yield 4500 observed social states in each of game 1 to game 10 and 3600 observed social states in game 11 (for more detail, see ref. [14,36]). Fig.…”

Section: A Experiments and Data Setmentioning

confidence: 99%

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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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Section: Maxent As a Link Between Nature And Social Sciencesupporting

confidence: 52%

Section: Discussionmentioning

confidence: 67%

Section: Maxent As a Link Between Nature And Social Sciencementioning

confidence: 89%

“…These yield 4500 observed social states in each of game 1 to game 10 and 3600 observed social states in game 11 (for more detail, see ref. [14,36]). Fig.…”

Section: A Experiments and Data Setmentioning

confidence: 99%

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

Wang

2012

Results in Physics

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“…The authors thank Zhijian Wang and Bin Xu for sending us their paper on game theory and the principle of maximum entropy [37] and for sharing experimental data from their research. It was in their study [37] that we found the additional experimental results of [34]. This paper was supported by the Fundamental Research Funds for the Central Universities.…”

Section: Acknowledgementsmentioning

confidence: 99%

Stability of Mixed-Strategy-Based Iterative Logit Quantal Response Dynamics in Game Theory

Zhang

2014

PLoS ONE

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Using the Logit quantal response form as the response function in each step, the original definition of static quantal response equilibrium (QRE) is extended into an iterative evolution process. QREs remain as the fixed points of the dynamic process. However, depending on whether such fixed points are the long-term solutions of the dynamic process, they can be classified into stable (SQREs) and unstable (USQREs) equilibriums. This extension resembles the extension from static Nash equilibriums (NEs) to evolutionary stable solutions in the framework of evolutionary game theory. The relation between SQREs and other solution concepts of games, including NEs and QREs, is discussed. Using experimental data from other published papers, we perform a preliminary comparison between SQREs, NEs, QREs and the observed behavioral outcomes of those experiments. For certain games, we determine that SQREs have better predictive power than QREs and NEs.

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An explicit analytical expression for bed-load layer thickness based on maximum entropy principle

2018

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Test the principle of maximum entropy in constant sum game: Evidence in experimental economics

Cited by 7 publications

References 10 publications

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

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

Stability of Mixed-Strategy-Based Iterative Logit Quantal Response Dynamics in Game Theory

An explicit analytical expression for bed-load layer thickness based on maximum entropy principle

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