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Bilateral Matching and Latin Squares

Author

Listed:
  • Aliprantis, C. D.
  • Camera, G.
  • Puzzello, D.

Abstract

We develop a general procedure to construct pairwise meeting processes characterized by two features. First, in each period the process maximizes the number of matches in the population. Second, over time agents meet everybody else exactly once. We call this type of meetings "absolute strangers." Our methodological contribution to economics is to offer a simple procedure to construct a type of decentralized trading environments usually employed in both theoretical and experimental economics. In particular, we demonstrate how to make use of the mathematics of Latin Squares to enrich the modeling of matching economies.

Suggested Citation

  • Aliprantis, C. D. & Camera, G. & Puzzello, D., 2006. "Bilateral Matching and Latin Squares," Purdue University Economics Working Papers 1189, Purdue University, Department of Economics.
    • Handle: RePEc:pur:prukra:1189
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    File URL: https://business.purdue.edu/research/Working-papers-series/2006/1189.pdf
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    References listed on IDEAS

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    1. Kiyotaki, Nobuhiro & Wright, Randall, 1989. "On Money as a Medium of Exchange," Journal of Political Economy, University of Chicago Press, vol. 97(4), pages 927-954, August.
    2. Boel, Paola & Camera, Gabriele, 2006. "Efficient monetary allocations and the illiquidity of bonds," Journal of Monetary Economics, Elsevier, vol. 53(7), pages 1693-1715, October.
    3. Diamond, Peter A, 1982. "Aggregate Demand Management in Search Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 90(5), pages 881-894, October.
    4. Andreoni, James & Croson, Rachel, 2008. "Partners versus Strangers: Random Rematching in Public Goods Experiments," Handbook of Experimental Economics Results, in: Charles R. Plott & Vernon L. Smith (ed.), Handbook of Experimental Economics Results, edition 1, volume 1, chapter 82, pages 776-783, Elsevier.
    5. Charalambos Aliprantis & Gabriele Camera & Daniela Puzzello, 2006. "Matching and anonymity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(2), pages 415-432, October.
    6. Pedro Dal Bó, 2005. "Cooperation under the Shadow of the Future: Experimental Evidence from Infinitely Repeated Games," American Economic Review, American Economic Association, vol. 95(5), pages 1591-1604, December.
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    More about this item

    Keywords

    Latin squares ; Matching models ; Spatial interactions;
    All these keywords.

    JEL classification:

    • C00 - Mathematical and Quantitative Methods - - General - - - General
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • E00 - Macroeconomics and Monetary Economics - - General - - - General

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