Kingston (1976) and Anderson (1977) show that the probability that a given contestant wins a best-of-2k+1 series of asymmetric, zero-sum, binary-outcome games is, for a large class of assignment rules, independent of which contestant is assigned the advantageous role in each component game. We...

We provide a simple proof of Foster's (1983) characterization of the Theil inequality index.

We propose the concept of level r consensus as a useful property of a preference profile which considerably enhances the stability of social choice. This concept involves a weakening of unanimity, the most extreme form of consensus. It is shown that if a preference profile exhibits level r...

It is possible to partially order cities with two ethnic groups according to the Lorenz criterion. Similarly, it is possible to partially order cities according to the informativeness of neighborhoods about the ethnic groups of its inhabitants. We show the equivalence of these two orders for the...

We characterize the Pareto correspondence, the core and the Walras solution using the axioms of consistency, converse consistency and one-person rationality. Consistency and its converse are defined with respect to suitably constructed reduced economies for each case. Our results hold for the...

We study a decentralized matching model in a large exchange economy, in which trade takes place through non--cooperative bargaining in coalitions of finite size. Under essentially the same conditions of core equivalence, we show that the strategic equilibrium outcomes of our model coincide with...

The one-state machine that always defects is the only evolutionarily stable strategy in the machine game that is derived from the prisoners' dilemma, when preferences are lexicographic in complexity. This machine is the only stochastically stable strategy of the machine game when players are...

ABSTRACT: Stochastic stability is applied to the problem of exchange. We analyze the stochastic stability of two dynamic trading processes in a simple housing market. In both models, traders meet in pairs at random and exchange their houses when trade is mutually beneficial, but occasionally...

We analyze the problem of extending a given bilateral principle of justice to a consistent n-creditor bankruptcy rule. Based on the bilateral principal, we build a family of binary relations on the set of creditors in order to make bilateral comparisons between them. We find that the possibility...