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Pareto improvement and agenda control of sequential financial innovations

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  • Hara, Chiaki

Abstract

In an exchange economy under uncertainty with two periods, one physical good, and finitely many states of the world, we show that for every (complete or incomplete) market span there exists a sequence of securities such that if they are introduced into markets one by one, the prices of any security is not affected by the subsequent introduction of newer securities and they together generate the given market span. Since these securities generate no pecuniary externalities, this result implies that every stage of such sequential financial innovations is Pareto-improving. Its implications on financial innovations via voting are also explored.

Suggested Citation

  • Hara, Chiaki, 2011. "Pareto improvement and agenda control of sequential financial innovations," Journal of Mathematical Economics, Elsevier, vol. 47(3), pages 336-345.
  • Handle: RePEc:eee:mateco:v:47:y:2011:i:3:p:336-345
    DOI: 10.1016/j.jmateco.2010.12.013
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    1. Rohit Rahi & Jean-Pierre Zigrand, 2009. "Strategic Financial Innovation in Segmented Markets," The Review of Financial Studies, Society for Financial Studies, vol. 22(8), pages 2941-2971, August.
    2. Bottazzi, Jean-Marc & Hens, Thorsten, 1996. "Excess Demand Functions and Incomplete Markets," Journal of Economic Theory, Elsevier, vol. 68(1), pages 49-63, January.
    3. Viral V. Acharya & Alberto Bisin, 2005. "Optimal Financial-Market Integration and Security Design," The Journal of Business, University of Chicago Press, vol. 78(6), pages 2397-2434, November.
    4. Allen, Franklin & Gale, Douglas, 1991. "Arbitrage, Short Sales, and Financial Innovation," Econometrica, Econometric Society, vol. 59(4), pages 1041-1068, July.
    5. Elul Ronel, 1995. "Welfare Effects of Financial Innovation in Incomplete Markets Economies with Several Consumption Goods," Journal of Economic Theory, Elsevier, vol. 65(1), pages 43-78, February.
    6. Marc Oliver Bettzüge & Thorsten Hens, 2001. "An Evolutionary Approach to Financial Innovation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(3), pages 493-522.
    7. Bisin, Alberto, 1998. "General Equilibrium with Endogenously Incomplete Financial Markets," Journal of Economic Theory, Elsevier, vol. 82(1), pages 19-45, September.
    8. repec:dau:papers:123456789/6343 is not listed on IDEAS
    9. Husseini, S. Y. & Lasry, J. -M. & Magill, M. J. P., 1990. "Existence of equilibrium with incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 19(1-2), pages 39-67.
    10. Chiaki Hara & Atsushi Kajii, 2006. "Risk‐free bond prices in incomplete markets with recursive multiple‐prior utilities," International Journal of Economic Theory, The International Society for Economic Theory, vol. 2(2), pages 135-157, June.
    11. Magill, Michael & Shafer, Wayne, 1991. "Incomplete markets," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 30, pages 1523-1614, Elsevier.
    12. 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.
    13. David Cass & Alessandro Citanna, 1998. "Pareto improving financial innovation in incomplete markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(3), pages 467-494.
    14. Hirsch, M. D. & Magill, M. & Mas-Colell, A., 1990. "A geometric approach to a class of equilibrium existence theorems," Journal of Mathematical Economics, Elsevier, vol. 19(1-2), pages 95-106.
    15. David M. G. Newbery & Joseph E. Stiglitz, 1984. "Pareto Inferior Trade," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 51(1), pages 1-12.
    16. Karl Schmedders, 2001. "Monopolistic security design in finance economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 18(1), pages 37-72.
    17. Chiappori, Pierre-Andre & Ekeland, Ivar, 1999. "Disaggregation of excess demand functions in incomplete markets1," Journal of Mathematical Economics, Elsevier, vol. 31(1), pages 111-129, February.
    18. Hakansson, Nils H, 1982. "Changes in the Financial Market: Welfare and Price Effects and the Basic Theorems of Value Conservation," Journal of Finance, American Finance Association, vol. 37(4), pages 977-1004, September.
    19. Thorsten Hens & Piero Gottardi, 1999. "Disaggregation of excess demand and comparative statics with incomplete markets and nominal assets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 13(2), pages 287-308.
    20. Gottardi, Piero & Mas-Colell, Andreu, 2000. "A note on the decomposition (at a point) of aggregate excess demand on the Grassmannian1," Journal of Mathematical Economics, Elsevier, vol. 33(4), pages 463-473, May.
    21. Momi, Takeshi, 2003. "Excess demand functions with incomplete markets--a global result," Journal of Economic Theory, Elsevier, vol. 111(2), pages 240-250, August.
    22. Marc Oliver Bettzuege & Thorsten Hens, "undated". "An Evolutionary Approach to Financial Innovation," IEW - Working Papers 035, Institute for Empirical Research in Economics - University of Zurich.
    23. Harris, Christopher & Reny, Philip & Robson, Arthur, 1995. "The Existence of Subgame-Perfect Equilibrium in Continuous Games with Almost Perfect Information: A Case for Public Randomization," Econometrica, Econometric Society, vol. 63(3), pages 507-544, May.
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    Cited by:

    1. Marc Oliver Bettzüge & Thorsten Hens & Michael Zierhut, 2022. "Financial intermediation and the welfare theorems in incomplete markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(2), pages 457-486, April.
    2. Mustansar, Talreja, 2023. "Financial innovation, technological improvement and bank’ profitability," OSF Preprints 8wy95, Center for Open Science.
    3. Chiaki Hara, 2018. "Equilibrium Prices of the Market Portfolio in the CAPM with Incomplete Financial Markets," KIER Working Papers 1005, Kyoto University, Institute of Economic Research.

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    More about this item

    Keywords

    General equilibrium theory of incomplete security markets; Financial innovation; Pareto improvement; Agenda control; Nash equilibrium; Subgame perfect equilibrium;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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