In this short paper we provide two simple new versions of Arrow's impossibility theorem, in a world with only one preference profile. Both versions are extremely transparent. The first version assumes a two-agent society; the second version, which is similar to a theorem of Pollak, assumes two...

We characterize full implementation of social choice sets in mixed strategy Bayesian equilibrium. Our results concern both exact and virtual mixed implementation. For exact implementation, we identify a strengthening of Bayesian monotonicity, which we refer to as mixed Bayesian monotonicity. It...

We study a Gale-like 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...

By introducing physical outcomes in coalitional games we note that coalitional games and social choice problems are equivalent (implying that so are the theory of implementation and the Nash program). This clarifies some misunderstandings (in regrad to invariance and randomness), sometimes found...

We study decentralized trade processes in general exchange economies and house allocation problems with and without money. The processes are affected by persistent random shocks stemming from agents' maximization of random utility. By imposing structure on the utility noise term--logit...

This paper studies the problem of implementation of taxation methods in one-commodity environments in which the taxable incomes of the (at least two) agents are fixed and not known to the planner. In this problem (unlike most work in implementation theory), the feasible set is unknown to the...

We introduce a game form that captures a noncooperative dimention of the consistency property of bankruptcy rules. Any consistent and monotonic rule is fully characterized by a bilateral principle and consistency. Like the consistency axiom, our game form, together with the bilateral principle,...

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...