Artículo

Pinasco, J.P.; Rodríguez Cartabia, M.; Saintier, N. "A Game Theoretic Model of Wealth Distribution" (2018) Dynamic Games and Applications. 8(4):874-890
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Abstract:

In this work, we consider an agent-based model in order to study the wealth distribution problem where the interchange is determined with a symmetric zero-sum game. Simultaneously, the agents update their way of play trying to learn the optimal one. Here, the agents use mixed strategies. We study this model using both simulations and theoretical tools. We derive the equations for the learning mechanism, and we show that the mean strategy of the population satisfies an equation close to the classical replicator equation. Concerning the wealth distribution, there are two interesting situations depending on the equilibrium of the game. For pure strategies equilibria, the wealth distribution is fixed after some transient time, and those players which initially were close to the optimal strategy are richer. When the game has an equilibrium in mixed strategies, the stationary wealth distribution is close to a Gamma distribution with variance depending on the coefficients of the game matrix. We compute theoretically their second moment in this case. © 2018, Springer Science+Business Media, LLC, part of Springer Nature.

Registro:

Documento: Artículo
Título:A Game Theoretic Model of Wealth Distribution
Autor:Pinasco, J.P.; Rodríguez Cartabia, M.; Saintier, N.
Filiación:Departamento de Matemática, FCEN, Universidad de Buenos Aires, Instituto de Matemática Santaló (IMAS), UBA-CONICET, Pabellon I, Ciudad Universitaria, Buenos Aires, 1428, Argentina
Palabras clave:Agent-based models; Evolutionary games; Wealth distribution
Año:2018
Volumen:8
Número:4
Página de inicio:874
Página de fin:890
DOI: http://dx.doi.org/10.1007/s13235-018-0240-3
Título revista:Dynamic Games and Applications
Título revista abreviado:Dyn. Games Appl.
ISSN:21530785
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_21530785_v8_n4_p874_Pinasco

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Citas:

---------- APA ----------
Pinasco, J.P., Rodríguez Cartabia, M. & Saintier, N. (2018) . A Game Theoretic Model of Wealth Distribution. Dynamic Games and Applications, 8(4), 874-890.
http://dx.doi.org/10.1007/s13235-018-0240-3
---------- CHICAGO ----------
Pinasco, J.P., Rodríguez Cartabia, M., Saintier, N. "A Game Theoretic Model of Wealth Distribution" . Dynamic Games and Applications 8, no. 4 (2018) : 874-890.
http://dx.doi.org/10.1007/s13235-018-0240-3
---------- MLA ----------
Pinasco, J.P., Rodríguez Cartabia, M., Saintier, N. "A Game Theoretic Model of Wealth Distribution" . Dynamic Games and Applications, vol. 8, no. 4, 2018, pp. 874-890.
http://dx.doi.org/10.1007/s13235-018-0240-3
---------- VANCOUVER ----------
Pinasco, J.P., Rodríguez Cartabia, M., Saintier, N. A Game Theoretic Model of Wealth Distribution. Dyn. Games Appl. 2018;8(4):874-890.
http://dx.doi.org/10.1007/s13235-018-0240-3