Summary
We show that a finite, competitive economy isimmune to sunspots if (i) preferences are strictly convex, (ii) the set of feasible allocations is convex, and (iii) the contingent-claims market is perfect. The conditions (i)–(ii) cover some, but not all, economies with nonconvex technologies. Based on an indivisible-good example, we show that even economies with strictly convex preferences and full insurance arenot in general immune from sunspots. We also show that (1) the sufficient conditions (i)–(iii) are not necessary for sunspot immunity and (2)ex-ante efficiency is not necessary for immunity from sunspots.
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References
Arrow, K. J., Hahn, F. H.: General competitive analysis. San Francisco: Holden-Day 1971
Balasko, Y.: Extrinsic uncertainty revisited. Journal of Economic Theory31, 203–201 (1983)
Cass, D., Polemarchakis, H. M.: Convexity and sunspots: A remark. Journal of Economic Theory52, 433–439 (1990)
Cass, D., Shell, K.: Do sunspots Matter? Journal of Political Economy91, 193–222 (1983)
Debreu, G.: Theory of value: An axiomatic analysis of economic equilibrium. New Haven: Cowles Foundation Monograph 17, Yale University Press 1959
Goenka, A.: Rationing and sunspot equilibria. Journal of Economic Theory64, 424–442 (1994)
Goenka, A.: Fiscal rules and extrinsic uncertainty. Economic Theory4, 401–416 (1994)
Guesnerie, R., Laffont, J. J.: Notes on sunspot equilibria in finite horizon models. In: Champsaur, P., (ed.) Essays in honour of Edmond Malinvaud, Vol. 1, Microeconomics. Cambridge: MIT Press 1990
Hansen, G.: Indivisible labor and the business cycle. Journal of Monetary Economy16, 309–328 (1985)
Préchac, C.: On the ineffectiveness of sunspots in incomplete markets. Economic Theory3, 585–588 (1993)
Rogerson, R.: Indivisible labor, lotteries, and equilibrium. Journal of Monetary Economy21, 3–16 (1988)
Shell, K.: Sunspot equilibrium. In: Eatwell, J., Milgate, M., Newman, P., (eds.) The new Palgrave: A dictionary of economics London: Macmillan 1987
Shell, K. Wright, R.: Indivisibilities, Lotteries, and sunspot equilibria. Economic Theory3, 1–17(1993)
Sorger, G.: Convexity and sunspots: Another remark. Journal of Economic Theory60, 439–442 (1993)