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

Łukasz Balbus, Pawel Dziewulski, Kevin Reffett and Łukasz Woźny

No 2020-052, KAE Working Papers from Warsaw School of Economics, Collegium of Economic Analysis

Abstract: We present a new approach for studying equilibrium dynamics in a class of stochastic games with a continuum of players with private types and strategic complementarities. We introduce a suitable equilibrium concept, called Markov Stationary Distributional Equilibrium (MSDE), prove its existence, and provideconstructive methods for characterizing and comparing equilibrium distributional transitional dynamics. To analyze equilibrium transitions for the distributions ofprivate types, we develop an appropriate dynamic (exact) law of large numbers.Finally, we show that our models can be approximated as idealized limits of gameswith a large (but finite) number of players. We provide numerous applications of theresults including: dynamic models of growth with status concerns, social distance and paternalistic bequest with endogenous preference for consumption.

Keywords: large games; distributional equilibria; supermodular games; compara-tive dynamics; non-aggregative games; law of large numbers; social interactions (search for similar items in EconPapers)
JEL-codes: C62 C72 C73 (search for similar items in EconPapers)
Pages: 46 pages
Date: 2020-07
New Economics Papers: this item is included in nep-gth and nep-ore
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