We argue that, in exchange economies, various versions of the bargaining set cannot be implemented in Nash equilibrium. We then propose an extensive form mechanism that exactly implements the Aumann–Davis–Maschler bargaining set in subgame perfect equilibrium. The mechanism corresponds closely to the description of the bargaining set and respects feasibility in and out of equilibrium. Journal o...

We show that there is a unique correlated equilibrium, identical to the unique Nash equilibrium, in the classic Bertrand oligopoly model with homogenous goods and identical marginal costs. This provides a theoretical underpinning for the socalled “Bertrand paradox” as well as its most general formulation to date. Our proof generalizes to asymmetric marginal costs and arbitrarily many players in...

We present a purification result for incomplete information games with a large but finite number of players that allows compact metric spaces for both actions and types. We then compare our framework and findings to the early purification theorems of Rashid (1983), Cartwright and Wooders (2002), Kalai (2004) and Wooders, Cartwright, and Selten (2006). Our proofs are elementary and rely on the S...

We address the following issue: what can be said about the degree of competition, in a set of markets with a large number of participants, when no information on the distribution of individual characteristics is available? Our main result is that the proportion of individuals whose strategic behavior differs substantially from price taking, converges to zero as the number of market participants...

We introduce and characterize a new class of bargaining solutions: those which can be obtained by sequentially applying two binary relations to eliminate alternatives. As a by-product we obtain as a particular case a partial characterization result by Zhou (Econometrica, 1997) of an extension of the Nash axioms and solution to domains including non-convex problems, as well as a complete charact...

Previous allocation rules for network games, such as the Myerson Value, implicitly or explicitly take the network structure as fixed. In many situations, however, the network structure can be altered by players. This means that the value of alternative network structures (not just sub-networks) can and should influence the allocation of value among players on any given network structure. I pres...

We study coalitional one-deviation principle in a framework à la Chwe (1994). The principle requires that an active coalition or any of its subcoalition will not benefit from a single deviation to a strategy that specifies, for each history of coalitional moves, an active coalition and its move. A strategy meeting the one-deviation property is characterized. Moreover, it is shown to exist. Fina...

This paper proposes new concepts of strong and coalition-proof correlated equilibria where agents form coalitions at the interim stage and share information about their recommendations in a credible way. When players deviate at the interim stage, coalition-proof correlated equilibria may fail to exist for two-player games. However, coalitionproof correlated equilibria always exist in dominance-...

Optimal communication to a group often entails a trade-off between precision of information conveyed and common understanding (or approximate common knowledge) of the information within the group. We argue that an understanding of this trade-off is central in many contexts, including central bank communication and the design of accounting standards, as well as understanding the design of langua...

We explore the scientific potential of virtual worlds for experimental economists. In particular, we report the results of a series of virtual world experiments designed to examine the suitability of (a) users as subjects and (b) the computer interface as an experimental platform. Formal results and informal observations from the sessions are discussed in terms of the methodological opportuniti...