Paper #208

Títol:

First price auctions: Monotonicity and uniqueness

Autor:

Gustavo Rodríguez

Data:

Febrer 1997

Resum:

I study monotonicity and uniqueness of the equilibrium strategies in a two-person first price auction with affiliated signals. I show that when the game is symmetric there is a unique Nash equilibrium that satisfies a regularity condition requiring that the equilibrium strategies be {\sl piecewise monotone}. Moreover, when the signals are discrete-valued, the equilibrium is unique. The central part of the proof consists of showing that at any regular equilibrium the bidders' strategies must be monotone increasing within the support of winning bids. The monotonicity result derived in this paper provides the missing link for the analysis of uniqueness in two-person first price auctions. Importantly, this result extends to asymmetric auctions.

Paraules clau:

Auctions, game theory

Codis JEL:

D44, C72

Àrea de Recerca:

Microeconomia

Publicat a:

International Journal of Game Theory, Volume 29, Number 3, pp 413-432, November 2000

Descarregar el paper en format PDF