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It is shown that, in pure exchange economies, the individual demand functions can be recovered from the equilibrium set regardless of the way we evaluate wealth. Following Balasco (2004), the demand functions do not have to be differentiable, not even continuous nor utility maximizing. Thus, the...
Persistent link: https://www.econbiz.de/10010343119
Social demand functions result from the budget constrained maximization of “social preferences” or “other regarding preferences.” These preferences are non-selfishin the sense that they also depend on other consumers’ wealth. This paper addresse sthe robustness to wealth externalities...
Persistent link: https://www.econbiz.de/10011807433
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.
Persistent link: https://www.econbiz.de/10010322551
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...
Persistent link: https://www.econbiz.de/10010322578
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...
Persistent link: https://www.econbiz.de/10010322634
In the context of standard two-period pure-exchange economies with sequential trade, this paper proposes a decentralized coordination mechanism for equilibriumexpectations, facilitated by local interactions between agents. Interactions are modelled stochastically by specifying a family of...
Persistent link: https://www.econbiz.de/10010263152
We provide an axiomatic framework for exchange markets with a willingness- to-pay/willingness-to-accept discrepancy. First, we obtain a two parameter family of market invariants under price-scaling representing the excess demand. One of the parameters can be identified as endowment. The other is...
Persistent link: https://www.econbiz.de/10010264749
In oligopoly models with differentiated products, producers face a market demand function that reflects the preferences of consumers. However, typical assumptions on preferences place only weak restrictions on the shape of aggregate demand. This may result in profit functions that are not...
Persistent link: https://www.econbiz.de/10014504377
A stumbling block in the modelling of competitive markets with commodity and price spaces of infinite dimensions, arises from having positive cones with an empty interior. This issue precludes the use of tools of differential analysis, ranging from the definition of a derivative, to the use of...
Persistent link: https://www.econbiz.de/10010392394
Walras' law is central to the formation of economic theory. For mainstream economics, it is a device for testing rigorousness and consistency of model-building; for heterodox economists, the refutation of Walras' law is key to understanding Keynes' revolutionary contribution to a new economic...
Persistent link: https://www.econbiz.de/10011516473