We define a generalized state-space model with interactive unawareness and probabilistic beliefs. Such models are desirable for many potential applications of asymmetric unawareness. We develop Bayesian games with unawareness, define equilibrium, and prove existence. We show how equilibria are...

Heifetz, Meier and Schipper (2005) introduced a generalized state-space model that allows for non-trivial unawareness among several individuals and strong properties of knowledge. We show that this generalized state-space model arises naturally if states consist of maximally consistent sets of...

In John Nash’s proofs for the existence of (Nash) equilibria based on Brouwer’s theorem, an iteration mapping is used. A continuous—time analogue of the same mapping has been studied even earlier by Brown and von Neumann. This differential equation has recently been suggested as a...

Das fundamentale Werk von John von Neumann und Oskar Morgenstern (1944) hat die Spieltheorie als Gebiet begründet. Es gab zwar vorher schon den in deutscher Sprache veröffentlichen Beitrag von John Neumann (1928) " Zur Theorie der Gesellschaftsspiele", aber erst mit dem Buch aus dem Jahre 1944...

The standard state-spaces of asymmetric information preclude non- trivial forms of unawareness (Dekel, Lipman and Rustichini, 1998). We introduce a generalized state-space model that allows for non-trivial unawareness among several individuals, and which satisfies strong properties of knowledge...

We show in this paper that none of the existing static evolutionary stability concepts (ESS, CSS, uninvadability, NIS) is sufficient to guarantee dynamic stability in the weak topology with respect to standard evolutionary dynamics if the strategy space is continuous. We propose a new concept,...

In many intermediate goods markets buyers and sellers both have market power. Contracts are usually long-term and negotiated bilaterally, codifying many elements in addition to price. We model such bilateral oligopolies as a set of simultaneous Rubinstein-Ståhl bargainings between pairs of...

The paper presents a comparative analysis of the peculiar institutional features of two retail markets: the middle eastern Bazaar and the western Mall (shopping center). We study the informational functions and performance of the different market institutions using an Agent Based Computational...

This paper is concerned with the modeling of strategic change in humans’ behavior when facing different types of opponents. In order to implement this efficiently a mixed experimental setup was used where subjects played a game with a unique mixed strategy Nash equilibrium for 100 rounds...

Abandoning the oft-presumed common prior assumption, partitioned type spaces with disparate priors are studied. It is shown that in the two-player case, a unique fundamental pair of priors can be identified in each type space, from whose properties boundaries on the possible ranges of expected...