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Two Examples of Equilibrium Nonexistence

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  • Jamison Julian C.

    (Office of Research, Consumer Financial Protection Bureau, 1700 G St NW Washington District of Columbia 20552, USA)

Abstract

We present two simple situations in which SPE or NE fail to exist, even though intuition and the motivations for the definitions strongly suggest that they ought to. That is, nonexistence is due merely to technical barriers rather than fundamental barriers inherent in the structure of the situations (as occurs e.g. with auctions). Possibly resolutions are discussed.

Suggested Citation

  • Jamison Julian C., 2014. "Two Examples of Equilibrium Nonexistence," Mathematical Economics Letters, De Gruyter, vol. 1(2-4), pages 1-6, July.
    • Handle: RePEc:bpj:maecol:v:1:y:2014:i:2-4:p:6:n:3
    DOI: 10.1515/mel-2013-0018
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    References listed on IDEAS

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    1. Ritzberger, Klaus, 2002. "Foundations of Non-Cooperative Game Theory," OUP Catalogue, Oxford University Press, number 9780199247868.
    2. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, December.
    3. David K. Levine & William R. Zame, 2002. "Does Market Incompleteness Matter?," Econometrica, Econometric Society, vol. 70(5), pages 1805-1839, September.
    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. Reinhard Selten, 1973. "A Simple Model of Imperfect Competition, where 4 are Few and 6 are Many," Center for Mathematical Economics Working Papers 008, Center for Mathematical Economics, Bielefeld University.
    6. 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.
    7. Harris, Christopher J, 1985. "Existence and Characterization of Perfect Equilibrium in Games of Perfect Information," Econometrica, Econometric Society, vol. 53(3), pages 613-628, May.
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