Munich Personal RePEc Archive

Cournot tatonnement and Nash equilibrium in binary status games

Kukushkin, Nikolai S. and von Mouche, Pierre H.M. (2018): Cournot tatonnement and Nash equilibrium in binary status games.

[img]
Preview
PDF
MPRA_paper_86178.pdf

Download (75kB) | Preview

Abstract

We study a rather simplified game model of competition for status. Each player chooses a scalar variable (say, the level of conspicuous consumption), and then those who chose the highest level obtain the "high" status, while everybody else remains with the "low" status. Each player strictly prefers the high status, but they also have intrinsic preferences over their choices. The set of all feasible choices may be continuous or discrete, whereas the strategy sets of different players can only differ in their upper and lower bounds. The resulting strategic game with discontinuous utilities does not satisfy the assumptions of any general theorem known as of today. Nonetheless, the existence of a (pure strategy) Nash equilibrium, as well as the "finite best response improvement property," are established.

UB_LMU-Logo
MPRA is a RePEc service hosted by
the Munich University Library in Germany.