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Erschienen in:

2019 | OriginalPaper | Buchkapitel

13. Segregation and Discrimination in Festival Games

verfasst von : Akihiko Matsui

Erschienen in: Economy and Disability

Verlag: Springer Singapore

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Abstract

Societies consist of several groups. Groups may be based on race, religion, culture, the degree of disability, and so forth. In these societies, the phenomena of discrimination and prejudices are typically observed. These phenomena raise not only practical societal issues but also offer some theoretical problems for economics and game theory.

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Vorheriges Kapitel A Model of Man as a Creator of the World

Nächstes Kapitel Prejudices Induced by Segregation

This and the next chapters are based on Kaneko and Matsui (1999).

We do not fully specify the time structure and timing of trials. Although such a specification is not used in the present analysis, it would help in understanding the above argument to specify such possible time structures.

One possible formulation is to have a discrete time structure \( \{ \ldots ,-2,-1,0,1,2, \ldots \} \). Each player’s behavior is subject to a stochastic disturbance, and if such a disturbance occurs then her behavior \((f_i,\delta _i)\) is randomly chosen. One possible assumption is that each disturbance occurs, with a small probability \(\varepsilon >0\) in each period, independently across the players. Then the probability of two or more players making simultaneous trials is at most of the second order. It means that the frequency of such trials is negligible relative to that of unilateral trials when \(\varepsilon \) is very small. Then player i collects the experiences of the first order.

Another model can be regarded as the limit of the above discrete time structure as the time interval tends to zero. The time structure is expressed as the real continuum \((-\infty ,\infty )\). The festival game is played at each point in time. All players behave according to their stationary state \(\sigma ^*\) at every point in \((-\infty ,\infty )\), except for occasional disturbances, which make players try other actions. For each player, these disturbances follow a Poisson process. The Poisson processes are assumed to be independent across the players. Therefore, there is at most one trial made at each point in time with probability one, and negligible frequency of simultaneous trials is a consequence of this process.

See Fudenberg and Tirole (1991) and Mas-Colell et al. (1995) for more detail.

This section is not in Kaneko and Matsui (1999).

Titel: Segregation and Discrimination in Festival Games
verfasst von: Akihiko Matsui
Verlag: Springer Singapore
Buch: Economy and Disability
Print ISBN: 978-981-13-7622-1

Electronic ISBN: 978-981-13-7623-8

Copyright-Jahr: 2019
DOI: https://doi.org/10.1007/978-981-13-7623-8_13