The asymptotic nucleolus of large monopolistic games

Ezra Einy and Benyamin Shitovitz
Authors registered in the RePEc Author Service: Diego Moreno ()

UC3M Working papers. Economics from Universidad Carlos III de Madrid. Departamento de Economía

Abstract: We study the asymptotic nucleolus of large differentiable monopolistic games. We show that if v is a monopolistic game which is a composition of a non-decreasing concave and differentiable function with a vector of measures, then v has an asymptotic nucleolus. We also provide an explicit formula for the asymptotic nucleolus of v and show that it coincides with the center of symmetry of the subset of the core of v in which all the monopolists obtain the same payoff. We apply this result to large monopolistic market games to obtain a relationship between the asymptotic nucleolus of the game and the competitive payoff distributions of the market.

Keywords: Monopolistic; market; games; Asymptotic; nucleolus; Core; Competitive; payoffs (search for similar items in EconPapers)
Date: 1997-07
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