Satiation in Fisher markets and approximation of Nash social welfare

J Garg, M Hoefer, K Mehlhorn - Mathematics of Operations …, 2024 - pubsonline.informs.org
We study linear Fisher markets with satiation. In these markets, sellers have earning limits,
and buyers have utility limits. Beyond applications in economics, they arise in the context of …

Equilibrium theory with unbounded consumption sets and non-ordered preferences: Part I. Non-satiation

DC Won, NC Yannelis - Journal of Mathematical Economics, 2008 - Elsevier
A new condition is introduced for the existence of equilibrium for an economy where
preferences need not be transitive or complete and the consumption set of each agent need …

Capital market equilibrium without riskless assets: heterogeneous expectations

D Won, G Hahn, NC Yannelis - Annals of Finance, 2008 - Springer
The existence theorem of Allingham (Econometrica 59: 1169–1174, 1991) for the capital
asset pricing model (CAPM) is generalized to the case where agents have heterogeneous …

Satiation and existence of competitive equilibrium

N Sato - Journal of Mathematical Economics, 2010 - Elsevier
In this paper, we introduce a new assumption concerning the (non) satiation property of
preferences and establish the existence of a competitive equilibrium under it. The …

Existence of competitive equilibrium in unbounded exchange economies with satiation: A note

N Sato - The BE Journal of Theoretical Economics, 2010 - degruyter.com
In this note, we extend the result of Sato (2010) to economies with unbounded-from-below
choice sets: we prove the existence of a competitive equilibrium (to be exact, a quasi …

[HTML][HTML] Semistrictly quasiconcave approximation and an application to general equilibrium theory

R Lucchetti, M Milasi - Journal of Mathematical Analysis and Applications, 2015 - Elsevier
We show how to approximate, in the sense of continuous convergence, a quasiconcave
function with a sequence of semistrictly quasiconcave functions. This allows extending …

An axiomatic characterization of the price–money message mechanism for economies with satiation

H Murakami, K Urai - Journal of Mathematical Economics, 2019 - Elsevier
In this paper, we axiomatically characterize the price mechanism for economies including
satiated agents. A path-breaking category-theoretic argument in Sonnenschein (1974) is …

Intertemporal asset pricing and the marginal utility of wealth

A Battauz, M De Donno, F Ortu - Journal of Mathematical Economics, 2011 - Elsevier
We consider the general class of discrete-time, finite-horizon intertemporal asset pricing
models in which preferences for consumption at the intermediate dates are allowed to be …

[PDF][PDF] On the equivalence between the rejective core and the dividend equilibrium

K Miyazaki, SI Takekuma - 2010 - hermes-ir.lib.hit-u.ac.jp
Exchange economies in which preferences of some consumers are possibly satiated are
considered. In a general model of an atomless exchange economy, the equivalence …

[PDF][PDF] G-COE GLOPE II Working Paper Series

N Sato - waseda.jp
In this paper, we extend the results of Sato [Sato, N., 2009. Nonsatiation and existence of
competitive equilibrium, G-COE GLOPE II Working Paper Series No. 15] to economies with …