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Marshallian Money, Welfare, and Side-Payments

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Author Info
Chen-Zhong Qin (Dept. of Economics, University of California, Santa Barbara)
Lloyd S. Shapley (Dept. of Economics, University of California, Los Angeles)
Martin Shubik () (Cowles Foundation, Yale University)
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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Paper provided by Cowles Foundation, Yale University in its series Cowles Foundation Discussion Papers with number 1729.

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Length: 26 pages
Date of creation: Sep 2009
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Handle: RePEc:cwl:cwldpp:1729

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Related research
Keywords: delta-core; enough money; market games;

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Find related papers by 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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  1. 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 873-75, August. [Downloadable!] (restricted)
  2. Shapley, Lloyd S. & Shubik, Martin, 1969. "On market games," Journal of Economic Theory, Elsevier, vol. 1(1), pages 9-25, June. [Downloadable!] (restricted)
  3. Shubik, Martin, 1971. "Pecuniary Externalities: A Game Theoretic Analysis," American Economic Review, American Economic Association, vol. 61(4), pages 713-18, September. [Downloadable!] (restricted)
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  4. 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. [Downloadable!] (restricted)
  5. Per Bak & Simon F. Norrelykke & Martin Shubik, 1998. "The Dynamics of Money," Quantitative Finance Papers cond-mat/9811094, arXiv.org, revised May 1999. [Downloadable!]
  6. Marshall, Alfred, 1890. "The Principles of Economics," History of Economic Thought Books, McMaster University Archive for the History of Economic Thought, number marshall1890. [Downloadable!]
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  7. Herbert E. Scarf, 1970. "On the Existence of a Cooperative Solution for a General Class of N-Person Games," Cowles Foundation Discussion Papers 293, Cowles Foundation, Yale University. [Downloadable!]
    Other versions:
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This page was last updated on 2009-12-1.


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