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Equilibrium and Arbitrage in Incomplete Asset Markets with Fixed Prices

Author

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  • Jean-Jacques Herings

    (Department of Economics - Maastricht University [Maastricht])

  • Heracles M. Polemarchakis

    (Department of Economics - Brown University)

Abstract

At arbitrary prices of commodities and assets, fix-price equilibria exist under weak assumptions: endowments need not satisfy an interiority condition, utility functions need only satisfy are very weak monotonicity requirement, and the asset return matrix allows for redundant assets. Prices of assets may permit arbitrage. At equilibrium, though restricted through endogenously determined trading constraints, arbitrage possibilities may persist; in an example, an individual holds an arbitrage portfolio.

Suggested Citation

  • Jean-Jacques Herings & Heracles M. Polemarchakis, 2000. "Equilibrium and Arbitrage in Incomplete Asset Markets with Fixed Prices," Working Papers hal-00598238, HAL.
    • Handle: RePEc:hal:wpaper:hal-00598238
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    1. von Stengel, B. & van den Elzen, A.H. & Talman, A.J.J., 1996. "Tracing equilibria in extensive games by complementary pivoting," Other publications TiSEM 438ed645-c6be-469e-a7d9-7, Tilburg University, School of Economics and Management.
    2. John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384, December.
    3. Dreze, Jacques H. & Gollier, Christian, 1993. "Risk sharing on the labour market and second-best wage rigidities," European Economic Review, Elsevier, vol. 37(8), pages 1457-1482, December.
    4. Judd, Kenneth L., 1997. "Computational economics and economic theory: Substitutes or complements?," Journal of Economic Dynamics and Control, Elsevier, vol. 21(6), pages 907-942, June.
    5. Jean-Pascal Benassy, 1975. "Neo-Keynesian Disequilibrium Theory in a Monetary Economy," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 42(4), pages 503-523.
    6. Bonanno, Giacomo, 1990. "General Equilibrium Theory with Imperfect Competition," Journal of Economic Surveys, Wiley Blackwell, vol. 4(4), pages 297-328.
    7. Bergemann, Dirk & Valimaki, Juuso, 1996. "Learning and Strategic Pricing," Econometrica, Econometric Society, vol. 64(5), pages 1125-1149, September.
    8. Jean-Jacques Herings, P., 1997. "A globally and universally stable price adjustment process," Journal of Mathematical Economics, Elsevier, vol. 27(2), pages 163-193, March.
    9. Geanakoplos, J. & Polemarchakis, H., 1985. "Existence,regularity, and constrained suboptimality of competitive allocations when the asset market is incomplete," LIDAM Discussion Papers CORE 1985037, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    10. Herings, P. Jean-Jacques & van den Elzen, Antoon, 2002. "Computation of the Nash Equilibrium Selected by the Tracing Procedure in N-Person Games," Games and Economic Behavior, Elsevier, vol. 38(1), pages 89-117, January.
    11. P. Jean-Jacques Herings, 2000. "Two simple proofs of the feasibility of the linear tracing procedure," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 15(2), pages 485-490.
    12. Pakes, Ariel & Ericson, Richard, 1998. "Empirical Implications of Alternative Models of Firm Dynamics," Journal of Economic Theory, Elsevier, vol. 79(1), pages 1-45, March.
    13. Maskin, Eric & Tirole, Jean, 2001. "Markov Perfect Equilibrium: I. Observable Actions," Journal of Economic Theory, Elsevier, vol. 100(2), pages 191-219, October.
    14. Hart, Oliver D., 1975. "On the optimality of equilibrium when the market structure is incomplete," Journal of Economic Theory, Elsevier, vol. 11(3), pages 418-443, December.
    15. Olley, G Steven & Pakes, Ariel, 1996. "The Dynamics of Productivity in the Telecommunications Equipment Industry," Econometrica, Econometric Society, vol. 64(6), pages 1263-1297, November.
    16. Werner, Jan, 1985. "Equilibrium in economies with incomplete financial markets," Journal of Economic Theory, Elsevier, vol. 36(1), pages 110-119, June.
    17. Hans Haller & Roger Lagunoff, 2000. "Genericity and Markovian Behavior in Stochastic Games," Econometrica, Econometric Society, vol. 68(5), pages 1231-1248, September.
    18. Polemarchakis, H. M. & Ku, Bon-Il, 1990. "Options and equilibrium," Journal of Mathematical Economics, Elsevier, vol. 19(1-2), pages 107-112.
    19. Dreze, Jacques H, 1975. "Existence of an Exchange Equilibrium under Price Rigidities," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 16(2), pages 301-320, June.
    20. Mas-Colell,Andreu, 1990. "The Theory of General Economic Equilibrium," Cambridge Books, Cambridge University Press, number 9780521388702.
    21. Tuinstra, Jan, 2000. "The emergence of political business cycles in a two-sector general equilibrium model," European Journal of Political Economy, Elsevier, vol. 16(3), pages 509-534, September.
    22. Duffie, Darrell & Shafer, Wayne, 1985. "Equilibrium in incomplete markets: I : A basic model of generic existence," Journal of Mathematical Economics, Elsevier, vol. 14(3), pages 285-300, June.
    23. McKelvey, Richard D. & McLennan, Andrew, 1996. "Computation of equilibria in finite games," Handbook of Computational Economics, in: H. M. Amman & D. A. Kendrick & J. Rust (ed.), Handbook of Computational Economics, edition 1, volume 1, chapter 2, pages 87-142, Elsevier.
    24. Krasa, Stefan & Werner, Jan, 1991. "Equilibria with options: Existence and indeterminacy," Journal of Economic Theory, Elsevier, vol. 54(2), pages 305-320, August.
    25. Breton, Michele & Haurie, Alain & Filar, Jerzy A., 1986. "On the computation of equilibria in discounted stochastic dynamic games," Journal of Economic Dynamics and Control, Elsevier, vol. 10(1-2), pages 33-36, June.
    26. Herings, P.J.J. & Peeters, R.J.A.P., 2000. "A differentiable homotopy to compute nash equilibria of n-person games," Research Memorandum 033, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    27. van den Elzen, Antoon & Talman, Dolf, 1999. "An Algorithmic Approach toward the Tracing Procedure for Bi-matrix Games," Games and Economic Behavior, Elsevier, vol. 28(1), pages 130-145, July.
    28. Hans M. Amman & David A. Kendrick, . "Computational Economics," Online economics textbooks, SUNY-Oswego, Department of Economics, number comp1.
    29. Herings P. Jean-Jacques & Peeters R., 1999. "A Differentiable Homotopy to Compute Nash Equilibria of n-Person Games," Research Memorandum 038, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    30. Andrew McLennan, 2005. "The Expected Number of Nash Equilibria of a Normal Form Game," Econometrica, Econometric Society, vol. 73(1), pages 141-174, January.
    31. Herings, P Jean-Jacques, 1996. "Equilibrium Existence Results for Economies with Price Rigidities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(1), pages 63-80, January.
    32. Gottardi, Piero & Hens, Thorsten, 1996. "The Survival Assumption and Existence of Competitive Equilibria When Asset Markets are Incomplete," Journal of Economic Theory, Elsevier, vol. 71(2), pages 313-323, November.
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    Cited by:

    1. John Duggan, 2011. "Noisy Stochastic Games," RCER Working Papers 562, University of Rochester - Center for Economic Research (RCER).
    2. Eilon Solan & Nicolas Vieille, 2010. "Computing uniformly optimal strategies in two-player stochastic games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 42(1), pages 237-253, January.
    3. P. Jean-Jacques Herings & Harold Houba, 2010. "The Condorcet Paradox Revisited," Tinbergen Institute Discussion Papers 10-026/1, Tinbergen Institute.
    4. John Duggan, 2012. "Noisy Stochastic Games," RCER Working Papers 570, University of Rochester - Center for Economic Research (RCER).
    5. P. Herings & Ronald Peeters, 2010. "Homotopy methods to compute equilibria in game theory," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 42(1), pages 119-156, January.
    6. Babenko, R. & Talman, A.J.J., 2006. "Quantity Constrained General Equilibrium," Other publications TiSEM 393bf7c1-3045-4a3b-b3c3-5, Tilburg University, School of Economics and Management.
    7. Pazdera, Jaroslav & Schumacher, Johannes M. & Werker, Bas J.M., 2017. "The composite iteration algorithm for finding efficient and financially fair risk-sharing rules," Journal of Mathematical Economics, Elsevier, vol. 72(C), pages 122-133.

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    More about this item

    Keywords

    Incomplete asset market; Fix-price equilibrium; Arbitrage;
    All these keywords.

    JEL classification:

    • D45 - Microeconomics - - Market Structure, Pricing, and Design - - - Rationing; Licensing
    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • D60 - Microeconomics - - Welfare Economics - - - General

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