We prove the non-emptiness of the core of an NTU game satisfying a condition of payoff-dependent balancedness, based on transfer rate mappings. We also define a new equilibrium condition on transfer rates and we prove the existence of core payoff vectors satisfying this condition. The additional...

We study the problem of finding necessary and sufficient conditions that guarantee global uniqueness of equilibria in a pure exchange economy. We show that for every economy to have a unique equilibrium it is necessary and sufficient that (i) there are no critical economies and (ii) a compact...

This paper shows that the inverse image of the natural projection defines a ramified covering with finite layers. Finiteness of equilibria for regular two period production economies with uncertainty follows from this property.

Succeeding Dutta, Sen and Vohra (1995) and Saijo, Tatamitani and Yamato (1995), we define several conditions of natural mechanisms in production economies, and proposed two types of natural mechanisms, that is, the quantity and price-quantity types.

We construct an index theorem for smooth infinite economies that shows that generically the number of equilibria is odd. As a corollary, this gives a new proof of existence and gives conditions that guarantee global uniqueness of equilibria.

We construct an index theorem for smooth infinite economies that shows that generically the number of equilibria is odd. As a corollary, this gives a new proof of existence and gives conditions that guarantee global uniqueness of equilibria.

We study global properties of the equilibrium set of economies with a continuous consumption space. This framework is important in intertemporal allocation problems (continuous or infinite time), financial markets with uncertainty (continuous states of nature) and commodity differentiation. We...

The main contribution of this paper is to place smooth infinite economies in the setting of the equilibrium manifold and the natural projection map à la Balasko. We show that smooth infinite economies have an equilibrium set that has the structure of a Banach manifold and that the natural...

Building on a class of transcendental preferences for luxury, explicit solutions for price taking behavior and exchange equilibrium are discussed, which share the analytical tractability of Cobb-Douglas models and display positive relevance, along the lines discussed by Freixas and Mas-Colell...

Succeeding Dutta, Sen and Vohra (1995) and Saijo, Tatamitani and Yamato (1995), we define several conditions of natural mechanisms in production economies, and proposed two types of natural mechanisms, that is, the quantity and price-quantity types.