Payoffs in Nondifferentiable Perfectly Competitive TU Economies
We prove that a single-valued solution of perfectly competitive TU economies underling nonatomic vector measure market games is uniquely determined as the Mertens (1988) value by four plausible value-related axioms. Since the Mertens value is always in the core of an economy, this result provides an axiomatization of the Mertens value as a core-selection. Previous works on this matter assumed the economies to be either differentiable (e.g., Dubey and Neyman (1984)) or of uniform finite type (e.g., Haimanko (2002). This work does not assume that, thus it contributes to the axiomatic study of payoffs in perfectly competitive economies in general.
|Date of creation:||Oct 2012|
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- Omer Edhan, 2012. "Values of Exact Market Games," Discussion Paper Series dp627, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
- Hart, Sergiu & Neyman, Abraham, 1988. "Values of non-atomic vector measure games : Are they linear combinations of the measures?," Journal of Mathematical Economics, Elsevier, vol. 17(1), pages 31-40, February.
- Omer Edhan, 2012. "Representations Of Positive Projections On Lipschitz Vector," Discussion Paper Series dp624, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
- Dubey, Pradeep & Neyman, Abraham, 1984.
"Payoffs in Nonatomic Economies: An Axiomatic Approach,"
Econometric Society, vol. 52(5), pages 1129-1150, September.
- Pradeep Dubey & Abraham Neyman, 1981. "Payoffs in Non-Atomic Economies: An Axiomatic Approach," Cowles Foundation Discussion Papers 610, Cowles Foundation for Research in Economics, Yale University.
- Aumann, Robert J, 1975. "Values of Markets with a Continuum of Traders," Econometrica, Econometric Society, vol. 43(4), pages 611-646, July.
- AUMANN, Robert J., "undated". "Values of markets with a continuum of traders," CORE Discussion Papers RP 228, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Omer Edhan, 2012. "Continuous Values of Market Games are Conic," Discussion Paper Series dp623, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
- Hart, Sergiu, 1977. "Values of non-differentiable markets with a continuum of traders," Journal of Mathematical Economics, Elsevier, vol. 4(2), pages 103-116, August.
- Dubey, Pradeep & Neyman, Abraham, 1997. "An Equivalence Principle for Perfectly Competitive Economies," Journal of Economic Theory, Elsevier, vol. 75(2), pages 314-344, August. Full references (including those not matched with items on IDEAS)
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