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Direct Exchange in Linear Economies

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Abstract

. Considered here is direct exchange of production allowances or input factors. Motivated by practical modelling and compution, we sup- pose every owner or user of such items has a linear technology. The issue then is whether competitive market equilibrium can be reached merely via iterated bilateral barters. This paper provides positive and constructive answers.

Suggested Citation

  • Flåm, Sjur Didrik & Gramstad, Kjetil, 2012. "Direct Exchange in Linear Economies," Working Papers in Economics 05/12, University of Bergen, Department of Economics.
  • Handle: RePEc:hhs:bergec:2012_005
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    References listed on IDEAS

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    1. S. Flåm & L. Koutsougeras, 2010. "Private information, transferable utility, and the core," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 42(3), pages 591-609, March.
    2. Smith, Vernon L, 1982. "Microeconomic Systems as an Experimental Science," American Economic Review, American Economic Association, vol. 72(5), pages 923-955, December.
    3. Leigh Tesfatsion & Kenneth L. Judd (ed.), 2006. "Handbook of Computational Economics," Handbook of Computational Economics, Elsevier, edition 1, volume 2, number 2.
    4. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, December.
    5. Ghosal, Sayantan & Morelli, Massimo, 2004. "Retrading in market games," Journal of Economic Theory, Elsevier, vol. 115(1), pages 151-181, March.
    6. Allan M. Feldman, 1973. "Bilateral Trading Processes, Pairwise Optimally, and Pareto Optimality," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 40(4), pages 463-473.
    7. Goldman, Steven M & Starr, Ross M, 1982. "Pairwise, t-Wise, and Pareto Optimalities," Econometrica, Econometric Society, vol. 50(3), pages 593-606, May.
    8. Gintis Herbert, 2006. "The Emergence of a Price System from Decentralized Bilateral Exchange," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 6(1), pages 1-15, December.
    9. Shapley, Lloyd S & Shubik, Martin, 1977. "Trade Using One Commodity as a Means of Payment," Journal of Political Economy, University of Chicago Press, vol. 85(5), pages 937-968, October.
    10. Ross M. Starr, 1972. "The Structure of Exchange in Barter and Monetary Economies," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 86(2), pages 290-302.
    11. Saari, Donald G, 1985. "Iterative Price Mechanisms," Econometrica, Econometric Society, vol. 53(5), pages 1117-1131, September.
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    Cited by:

    1. Jo~ao Pedro Jerico & Franc{c}ois P. Landes & Matteo Marsili & Isaac P'erez Castillo & Valerio Volpati, 2016. "When does inequality freeze an economy?," Papers 1602.07300, arXiv.org, revised Apr 2016.
    2. Sjur Didrik Flåm, 2020. "Rights and rents in local commons," The Journal of Mechanism and Institution Design, Society for the Promotion of Mechanism and Institution Design, University of York, vol. 5(1), pages 119-140, December.
    3. Sjur Didrik Flåm, 2013. "Reaching Market Equilibrium Merely by Bilateral Barters," CESifo Working Paper Series 4504, CESifo.
    4. Flåm, Sjur Didrik, 2015. "Bilateral exchange and competitive equilibrium," Working Papers in Economics 05/15, University of Bergen, Department of Economics.
    5. Sjur Didrik Flåm, 2016. "Noncooperative games, coupling constraints, and partial efficiency," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(2), pages 213-229, October.
    6. Sjur Didrik Flåm, 2019. "Blocks of coordinates, stochastic programming, and markets," Computational Management Science, Springer, vol. 16(1), pages 3-16, February.
    7. Flåm, Sjur Didrik, 2016. "Borch’s theorem, equal margins, and efficient allocation," Insurance: Mathematics and Economics, Elsevier, vol. 70(C), pages 162-168.

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    More about this item

    Keywords

    Resource markets; transferable utility:competitive equilibrium; core imputations; linear programming; bilateral barters.;
    All these keywords.

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D03 - Microeconomics - - General - - - Behavioral Microeconomics: Underlying Principles
    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory

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