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Walrasian TatÈnnement by Sequential Pairwise Trading: Convergence and Welfare Implications

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  • Maria-Augusta Miceli
  • Federico Cecconi
  • Giovanni Cerulli

Abstract

This paper characterizes the out-of-equilibrium dynamics of a symmetric, pure exchange economy with two goods and N agents with uniformly distributed preferences and identical endowments. Relaxing the auctioneer assumption, but maintaining a global price rule, sequentially random pairwise trading at out-of-equilibrium prices is allowed. Initial mispricing implies rationing, determining excess demand (supply) fading away only at convergence, when the price of the initially cheaper (more expensive) good becomes more expensive (cheaper) than the walrasian one. The system converges when the sequential price reaches the walrasian price evaluated at current updated endowments. A perfectly symmetric setting, by initial mispricing and consequent rationed trading, creates asymmetric resource allocations even at convergence, where welfare is less than a standardized 1% lower than the auctioneer Pareto one. This model sketches a possible basis for price over-reaction microfoundation and captures endogenous "wealth divide" among the population, induced by whether agent trading is dominated by good preferences or just by speculation around their prices.

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Bibliographic Info

Paper provided by University of Rome La Sapienza, Department of Public Economics in its series Working Papers with number 161.

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Length: 44
Date of creation: Mar 2013
Date of revision:
Handle: RePEc:sap:wpaper:wp161

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Keywords: pairwise exchange; tatônnement; rationing; mispricing; general equilibrium; walrasian equilibrium; sequential equilibrium; auctioneer; price overreaction; wealth divide; agent-based models; agent-based simulations.;

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