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Discrimination in Festival Games with Limited Observability and Accessibility

Mamoru Kaneko and Aniruddha Mitra
Fri, 2010-10-01
This paper provides an analysis of discrimination and prejudices from the perspective of inductive game theory. We extend the festival game, originally given by Kaneko-Matsui, to include new constraints on the observability of ethnic identities and on accessible locations for pilayers. We characterize the Nash equilibrium set, which reveals a different variety of segregation patterns and discriminatory behavior than before. In order to facilitate the analysis of discrimination and prejudices, we introduce a measure of discrimination, which chooses a representative equilibrium with the smallest degree of discrimination. Using this measure, we discuss various new phenomena, such as discrimination in an ethnic hierarchy; similar ethnicities as discriminated and as discriminating; and mutual discrimination. The introduction of limited observability and accessibility enables us to obtain those results.. 
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