In this paper we consider the situation of an investor facing uncertainty, and whose objective is to survive. First we characterize the probability of survival of a passive agent who does not attempt to influence the evolution of the environment. Secondly, we look at an active agent who chooses...

The sequential equilibrium of an ascending-price auction of a single item is derived explicitly for the case of log-normal distributions and a multiplicative valuation model comprising both common and private factors, and allowing asymmetries. If the prior distribution on the common factors is...

Given a map whose roots are the Nash equilibria of a game, each component of the equilibrium set has an associated index, defined as the local degree of the map. This note shows that for a two-player game, every map with the same roots induces the same index. Moreover, this index agrees with the...