We extend the $\Delta$-rationalizability (see Battigalli and Siniscalchi 2003) to infinite strategic form games with incomplete information. The most important feature of the $\Delta$-rationalizability is that there is no specified epistemic type space \`{a} la Harsanyi. However, we can impose a...

This paper analyzes bidding behavior in a multi period multiple unit auction. While bidders are ex ante symmetric, the first period outcome translates the second period game to a game between asymmetric bidders. The first period outcome determines who will be a strong or a weak bidder in the...

This paper analyzes a stochastic model of evolution in normal form games. The long-run behavior of individuals in this model is investigated in the limit where mutation rates tend to zero, while the expected number of mutations, and hence population sizes, tend to infinity. It is shown that...

We solve in closed form the optimal consumption / portfolio choice problem for the class of isoelastic utility functions under incomplete information about the mean return of the stock price. Our approach consists in converting the original investor's problem into an equivalent program where the...

We give necessary and sufficient conditions for the existence of symmetric equilibrium without ties in common values auctions, with multidimensional independent types and no monotonic assumptions. When the conditions are not satisfied, we are still able to prove the existence of pure strategy...

In this paper we characterize the optimal allocation mechanism for $N$ objects, (permits), to $I$ potential buyers, (firms). Firms' payoffs depend on their costs, the costs of competitors and on the final allocation of the permits, allowing for externalities, substitutabilities and...

Most of the literature on auctions assumes that the auctioneer owns the object on sale. However most auctions are organized and run by an agent of the owner. This separation generates the possibility of corruption. We analyze the effect of a particular form of corruption on bidding behavior in a...

When a partnership comes to an end partners have to determine the terms of the dissolution. A well known way to do so is by enforcing a buy/sell option. Under its rules one partner has to offer a price for the partnership and the other agent can choose whether she wants to sell her share or buy...

A (pure) strategy in a repeated game is a mapping from histories, or, more generally, signals, to actions. We view the implementation of such a strategy as a computational procedure and attempt to capture in a formal model the following intuition: as the game proceeds, the amount of information...