 A Strategic Market Game with Active BankruptcyJ. Geanakoplos, I. Karatzas, Martin Shubik and W. Sudderth Working Papers from Santa Fe Institute Abstract: We construct stationary Markov equilibria for an economy with fiat money, one nondurable commodity, countably-many time periods, and a continuum of agents. The total production of commodity remains constant, but individual agents' endowments fluctuate in a random fashion from period to period. In order to hedge against these random fluctuations, agents find it useful to hold fiat money which they can borrow or deposit at appropriate rates of interest; such activity may take place either at a central bank (which fixes interest rates judiciously) or through a money-market (in which interest rates are determined endogenously). We carry out an equilibrium analysis, based on a careful study of Dynamic Programming equations and on properties of the invariant measures for associated optimally-controlled Markov chains. This analysis yields the stationary distribution of wealth across agents, as well as the stationary price (for the commodity) and interest rates (for the borrowing and lending of fiat money). A distinctive feature of our analysis is the incorporation of bankruptcy, both as a real possibility in an individual agent's optimization problem, and as a determinant of interest rates through appropriate balance equations. These allow a central bank (respectively, a money-market) to announce (respectively, to determine endogenously) interest rates in a way that conserves the total money-supply and controls in ation. General results are provided for the existence of such stationary equilibria, and several explicitly solvable examples are treated in detail.
Submitted to Journal of Mathematical Economics. Keywords: Stochastic games; bankruptcy; strategic market games; parallel dynamic programs; theory of money (search for similar items in EconPapers) There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it. Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:wop:safiwp:99-04-025 Access Statistics for this paper More papers in Working Papers from Santa Fe Institute Contact information at EDIRC. |
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