Regular Infinite Economies

Core-equivalence for the Nash bargaining solution

Core equivalence and shrinking of the core results are well known for economies. The present paper establishes counterparts for bargaining economies, a specific class of production economies (finite and infinite) representing standard two-person bargaining games and their continuum counterparts as coalition production economies. Thereby we get core equivalence of the Nash solution. The results ...

An application of Fibonacci numbers into infinite Toeplitz matrices

The main purpose of this paper is to define a new regular matrix by using Fibonacci numbers and to investigate its matrix domain in the classical sequence spaces $ell _{p},ell _{infty },c$ and $c_{0}$, where $1leq p

Working Paper Alfred P. Sloan School of Management Determinacy of Equilibrium in Infinite Horizon Economies: a Perspective Determinacy of Equilibrium in Infinite Horizon Economies: a Perspective

Regular economies with ambiguity aversion

We consider a family of exchange economies where consumers have multiprior preferences representing their ambiguity aversion. Under a linear independence assumption, we prove that regular economies are generic. Regular economies exhibit enjoyable properties: odd finite number of equilibrium prices, local constancy of this number and local differentiable selections of the equilibrium prices. Thu...

The Number of Equilibria of Smooth Infinite Economies

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.