TY - GEN AB - This paper studies the evolutionary stability of the unique Nash equilibrium of a first price sealed bid auction. It is shown that the Nash equilibrium is not asymptotically stable under payoff monotonic dynamics for arbitrary initial populations. In contrast, when the initial population includes a continuum of strategies around the equilibrium, the replicator dynamic does converge to the Nash equilibrium. Simulations are presented for the replicator and Brown-von Neumann-Nash dynamics. They suggest that the convergence for the replicator dynamic is slow compared to the Brown-von Neumann-Nash dynamics. DA - 2010 KW - Auction theory KW - Evolutionary stability LA - eng PY - 2010 SN - 0931-6558 TI - Evolutionary stability of first price auctions UR - https://nbn-resolving.org/urn:nbn:de:0070-bipr-47912 Y2 - 2024-11-22T04:45:00 ER -