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A Model of Tacit Collusion: Nash-2 Equilibrium Concept

P. 251–269.
Sandomirskaia M.

We examine an equilibrium concept for 2-person non-cooperative games with boundedly rational agents which we call Nash-2 equilibrium. It is weaker than Nash equilibrium and equilibrium in secure strategies: a player takes into account not only current strategies but also all profitable next-stage responses of the partners to her deviation from the current profile that reduces her relevant choice set. We provide a condition for Nash-2 existence in finite games and complete characterization of Nash-2 equilibrium in strictly competitive games. Nash-2 equilibria in Hotelling price-setting game are found and interpreted in terms of tacit collusion.

Language: English
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Keywords: молчаливый сговорtacit collusionмодель ХотеллингаHotelling modelNash-2 equilibriumsecure deviationравновесие Нэша-2безопасное отклонениеBertrand modelмодель Бертрана
Publication based on the results of:
Теория несовершенных рынков, городская и региональная экономика, международная и межрегиональная торговля (2016)

In book

Recent Advances in Game Theory and Applications
Springer, 2016.
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