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A Markov Model of Production, Trade, and Money: Theory and Artificial Life Simulation

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Herbert Gintis

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Abstract

The paper generalizes the Kiyotaki-Wright trade model by treating the trading period as a finite game, so Nash's theorem can be used to prove the existence of equilibrium, and by treating the economy as a Markov process, so an ergodic theorem can be used to show the existence of equilibria with desirable properties (e.g., in which money exists). A Markov model of trade also allows us to add complexity to the economy without adding corresponding complexity to the analysis of the model's properties. The paper also provides artificial life simulations of the Markov economy suggesting that monetary equilibria are dynamically stable and do not require high levels of learning or information processing on the part of agents.

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Paper provided by Santa Fe Institute in its series Research in Economics with number 97-01-006e.

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Date of creation: Jan 1997
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Handle: RePEc:wop:safire:97-01-006e

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  1. Nathan Nunn, 2005. "Historical Legacies: A Model Linking Africa's Past to its Current Underdevelopment," Development and Comp Systems 0508008, EconWPA. [Downloadable!]
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  2. Herbert Gintis, 2006. "The Emergence of a Price System from Decentralized Bilateral Exchange," Contributions to Theoretical Economics, Berkeley Electronic Press, vol. 6(1), pages 1302-1302. [Downloadable!] (restricted)
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