Multiplicity, Instability and Sunspots in Games
This paper considers games with two players for which it provides a sufficient condition on the responsiveness of the players' best replies around a Nash equilibrium that implies (i) a multiplicity of Nash equilibria; (ii) the non-isolatedness of this Nash equilibrium as rationalizable strategies; and (iii) the existence of non-trivial correlated equilibria arbitrarily close to it. This simultaneity of multiplicity, instability and vulnerability to sunspots parallels the same pattern observed in overlapping generations economies and finite economies with asymmetric information, and hints at some underlying relation between different avatars of the indeterminacy of economies and games that goes beyond the boundaries of any specific framework. Global links between multiplicity, instability and sunspots are also provided.
(This abstract was borrowed from another version of this item.)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Costas Azariadis & Roger Guesnerie, 1986. "Sunspots and Cycles," Review of Economic Studies, Oxford University Press, vol. 53(5), pages 725-737.
- Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-1277, November.
- Peck, James & Shell, Karl & Spear, Stephen E., 1992. "The market game: existence and structure of equilibrium," Journal of Mathematical Economics, Elsevier, vol. 21(3), pages 271-299.
- Maskin, Eric & Tirole, Jean, 1987. "Correlated equilibria and sunspots," Journal of Economic Theory, Elsevier, vol. 43(2), pages 364-373, December.
- Gale, David, 1973. "Pure exchange equilibrium of dynamic economic models," Journal of Economic Theory, Elsevier, vol. 6(1), pages 12-36, February.
- James Peck & Karl Shell, 1991. "Market Uncertainty: Correlated and Sunspot Equilibria in Imperfectly Competitive Economies," Review of Economic Studies, Oxford University Press, vol. 58(5), pages 1011-1029.
- Paul A. Samuelson, 1958. "An Exact Consumption-Loan Model of Interest with or without the Social Contrivance of Money," Journal of Political Economy, University of Chicago Press, vol. 66, pages 467-467.
- Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
- R. Guesnerie, 2002.
"Anchoring Economic Predictions in Common Knowledge,"
Econometric Society, vol. 70(2), pages 439-480, March.
- Guesnerie, R., 1999. "Anchoring Economic Predictions in Common Knowledge," DELTA Working Papers 1999-06, DELTA (Ecole normale supérieure).
- Guesnerie, Roger, 1992. "An Exploration of the Eductive Justifications of the Rational-Expectations Hypothesis," American Economic Review, American Economic Association, vol. 82(5), pages 1254-1278, December.
- Guesnerie, R., 1989. "An Exploration of the Eductive Justifications of the Rational Expectations Hypotbesis," DELTA Working Papers 89-24, DELTA (Ecole normale supérieure).
- Guesnerie, Roger, 1986. "Stationary sunspot equilibria in an N commodity world," Journal of Economic Theory, Elsevier, vol. 40(1), pages 103-127, October.
- Guesnerie, Roger, 1993. "Theoretical tests of the rational expectations hypothesis in economic dynamical models," Journal of Economic Dynamics and Control, Elsevier, vol. 17(5-6), pages 847-864. Full references (including those not matched with items on IDEAS)
When requesting a correction, please mention this item's handle: RePEc:cla:penntw:98ea9c46b8bd85cddd877d3dbe2068ac. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (David K. Levine)
If references are entirely missing, you can add them using this form.