This paper provides a recipe to generate definitions of possibility, which is equivalent to the standard approach of deriving possibility from belief/knowledge. Savage's notion of nonnullity is therefore an example that fits into our framework. The recipe is used to create a new definition of...

In a classic model of tax competition, we show that the level of public good provision and taxation in a decentralized equilibrium can be efficient or inefficient with either too much, or too little public good provision. The key is whether there exists a unilateral incentive to deviate from the...

This note deals with Cournot type oligopolies in which the market clearing price occasionally may be non-unique. A Stackelberg leading producer is present. Given that setting we explore continuity properties of the followers' reaction and provide sufficient conditions for existence of equilibrium.

In a Nash equilibrium, players' rationality is mutual knowledge. However, both intuition and experimental evidence suggest that players do not know for sure the rationality of opponents. This paper proposes a new equilibrium concept, cautious equilibrium, that generalizes Nash equilibrium in...

We derive the existence of a Walras equilibrium directly from Nash's theorem on noncooperative games. No price player is involved, nor are generalized games. Instead we use a variant of the Shapley-Shubik trading-post game.

In this paper, we analyze capacity manipulation games in hospital-intern markets inspired by the real-life entry-level labor markets for young physicians seeking residencies at hospitals. In these markets, where the matching is determined by a centralized clearinghouse called the National...

Luenberger (1992, 1994) introduced a function he terms the benefit function, that converts preferences into a numerical function and has some cardinal meaning. In this paper, we show that the benefit function enjoys many interesting properties in a game theory context. We point out that the...

Crawford and Sobel (1982) developed a model of strategic information transmission in which a better-informed sender sends a possibly informative signal to a decision-making receiver and studied how strategically transmitted information is related to the analogy between the two players'...

In a Bayesian game G, the players first receive private information on the state of nature and then simultaneously choose an action. We assume that the vector of actions a generates a signal g(a). A mechanism for G is a mapping [ mu ] from the set of states of nature S to the product sert of...