Pairwise stable matching in large economies

M Greinecker, C Kah - Econometrica, 2021 - Wiley Online Library
We formulate a stability notion for two‐sided pairwise matching problems with individually
insignificant agents in distributional form. Matchings are formulated as joint distributions over …

Modeling infinitely many agents

W He, X Sun, Y Sun - Theoretical Economics, 2017 - Wiley Online Library
This paper offers a resolution to an extensively studied question in theoretical economics:
which measure spaces are suitable for modeling many economic agents? We propose the …

Large games with a bio-social typology

MA Khan, KP Rath, Y Sun, H Yu - Journal of Economic Theory, 2013 - Elsevier
We present a comprehensive theory of large games in which players have names and
determinate social-types and/or biological traits, and identify through four decisive …

Maharam-types and Lyapunov's theorem for vector measures on Banach spaces

MA Khan, N Sagara - Illinois Journal of Mathematics, 2013 - projecteuclid.org
This paper offers a sufficient condition, based on Maharam (Proc. Natl. Acad. Sci. USA 28
(1942) 108–111) and re-emphasized by Hoover and Keisler (Trans. Amer. Math. Soc. 286 …

Subdifferentials of nonconvex integral functionals in Banach spaces with applications to stochastic dynamic programming

BS Mordukhovich, N Sagara - arXiv preprint arXiv:1508.02239, 2015 - arxiv.org
The paper concerns the investigation of nonconvex and nondifferentiable integral
functionals on general Banach spaces, which may not be reflexive and/or separable …

Existence of Nash equilibrium in games with a measure space of players and discontinuous payoff functions

G Carmona, K Podczeck - Journal of Economic Theory, 2014 - Elsevier
Abstract Balder's [6] model of games with a measure space of players is integrated with the
line of research on finite-player games with discontinuous payoff functions which follows …

The existence of Walrasian equilibrium: infinitely many commodities, measure space of agents, and discontinuous preferences

M Otsuka - Economic Theory Bulletin, 2024 - Springer
This study establishes two equilibrium existence results for large economies with infinitely
many commodities. The novel results allow for nontransitive, incomplete, discontinuous, and …

Markov distributional equilibrium dynamics in games with complementarities and no aggregate risk

Ł Balbus, P Dziewulski, K Reffett… - Theoretical …, 2022 - Wiley Online Library
We present a new approach to studying equilibrium dynamics in a class of stochastic games
with a continuum of players with private types and strategic complementarities. We introduce …

On the space of players in idealized limit games

L Qiao, H Yu - Journal of Economic Theory, 2014 - Elsevier
This paper demonstrates the class of atomless spaces that accurately models the space of
players in a large game which represents an idealized limit of a sequence of finite-player …

Maharam-types and Lyapunov's theorem for vector measures on locally convex spaces without control measures

MA Khan, N Sagara - arXiv preprint arXiv:1509.06965, 2015 - arxiv.org
We formulate the saturation property for vector measures in lcHs as a nonseparability
condition on the derived Boolean $\sigma $-algebras by drawing on the topological …