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Marshallian Money, Welfare, and Side-Payments

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Abstract

A link between a no-side-payment (NSP) market game and a side-payment (SP) market game can be established by introducing a sufficient amount of an ideal utility-money of constant marginal utility to all agents. At some point when there is "enough money" in the system, if it is "well distributed" the new game will be a SP game. This game can also be related to a pure NSP game where a set of default parameters have been introduced. These parameters play a role similar to the parameters specifying the interpersonal comparisons in the side-payment game. We study this game for the properties of the delta-core and consider both the conditions for the uniqueness of competitive equilibria and a new approach to the second welfare theorem. A discussion of the relationship between market games and strategic market games is also noted.

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  • Chen-Zhong Qin & Lloyd S. Shapley & Martin Shubik, 2009. "Marshallian Money, Welfare, and Side-Payments," Cowles Foundation Discussion Papers 1729, Cowles Foundation for Research in Economics, Yale University.
  • Handle: RePEc:cwl:cwldpp:1729
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    References listed on IDEAS

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    1. Martin Shubik, 2000. "The Theory of Money," Working Papers 00-03-021, Santa Fe Institute.
    2. Shapley, Lloyd S & Shubik, Martin, 1977. "An Example of a Trading Economy with Three Competitive Equilibria," Journal of Political Economy, University of Chicago Press, vol. 85(4), pages 873-875, August.
    3. Scarf, Herbert E., 1971. "On the existence of a coopertive solution for a general class of N-person games," Journal of Economic Theory, Elsevier, vol. 3(2), pages 169-181, June.
    4. Shubik, Martin, 1971. "Pecuniary Externalities: A Game Theoretic Analysis," American Economic Review, American Economic Association, vol. 61(4), pages 713-718, September.
    5. Per Bak & Simon F. Norrelykke & Martin Shubik, 1998. "The Dynamics of Money," Research in Economics 98-11-102e, Santa Fe Institute.
    6. Martin Shubik, 2003. "The Edgeworth, Cournot and Walrasian Cores of an Economy," Cowles Foundation Discussion Papers 1439, Cowles Foundation for Research in Economics, Yale University.
    7. Wagner, Alfred, 1891. "Marshall's Principles of Economics," History of Economic Thought Articles, McMaster University Archive for the History of Economic Thought, vol. 5, pages 319-338.
    8. Qin, Cheng-Zhong & Shapley, Lloyd S. & Shimomura, Ken-Ichi, 2006. "The Walras core of an economy and its limit theorem," Journal of Mathematical Economics, Elsevier, vol. 42(2), pages 180-197, April.
    9. Shapley, Lloyd S. & Shubik, Martin, 1969. "On market games," Journal of Economic Theory, Elsevier, vol. 1(1), pages 9-25, June.
    10. Gerard Debreu, 1963. "On a Theorem of Scarf," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 30(3), pages 177-180.
    11. Martin Shubik, 2004. "The Edgeworth, Cournot and Walrasian Cores," Yale School of Management Working Papers ysm433, Yale School of Management.
    12. Cheng-Zhong Qin & Martin Shubik, 2005. "A Credit Mechanism for Selecting a Unique Competitive Equilibrium," Cowles Foundation Discussion Papers 1539R, Cowles Foundation for Research in Economics, Yale University, revised Jun 2009.
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    Cited by:

    1. Odd Godal & Bjart Holtsmark, 2010. "International emissions trading with endogenous taxes," Discussion Papers 626, Statistics Norway, Research Department.

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    More about this item

    Keywords

    delta-core; enough money; market games;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • E4 - Macroeconomics and Monetary Economics - - Money and Interest Rates

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