×

A global game with strategic substitutes and complements. (English) Zbl 1155.91305

Summary: We study a global game in which actions are strategic complements over some region and strategic substitutes over another region. An agent’s payoff depends on a market fundamental and the actions of other agents. If the degree of congestion is sufficiently large, agents’ strategies are non-monotonic in their signal about the market fundamental. In this case, a signal that makes them believe that the market fundamental is more favorable for an action may make them less likely to take the action, because of the risk of overcrowding.

MSC:

91A07 Games with infinitely many players
91A10 Noncooperative games

Software:

CompEcon

References:

[1] Arthur, B., Bounded rationality and inductive behavior (the El Farol problem), Amer. Econ. Rev., 84, 406-411 (1994), Papers and Proceedings
[2] Athey, S., Single crossing properties and the existence of pure strategy equilibria in games of incomplete information, Econometrica, 69, 861-889 (2001) · Zbl 1019.91006
[3] Bulow, J.; Geanakoplos, J.; Klemperer, P. D., Multimarket oligopoly: Strategic substitutes and complements, J. Polit. Economy, 93, 488-511 (1985)
[4] Burdzy, K.; Frankel, D.; Pauzner, A., Fast equilibrium selection by rational players living in a changing world, Econometrica, 69, 163-190 (2001) · Zbl 1022.91013
[5] Carlsson, H.; van Damme, E., Global games and equilibrium selection, Econometrica, 61, 989-1018 (1993) · Zbl 0794.90083
[6] Diamond, D. W.; Dybvig, P. H., Bank runs, deposit insurance, and liquidity, J. Polit. Economy, 91, 3, 401-419 (1983) · Zbl 1341.91135
[7] Frankel, D.; Pauzner, A., Resolving indeterminacy in dynamic settings: The role of shocks, Quart. J. Econ., 115, 1, 285-304 (2000) · Zbl 1064.91519
[8] Goldstein, I.; Pauzner, A., Demand deposit contracts and the probability of bank runs
[9] Herrendorf, B.; Valentinyi, Á.; Waldmann, R., Ruling out multiplicity and indeterminacy: The role of heterogeneity, Rev. Econ. Stud., 67, 295-307 (2000) · Zbl 1028.91572
[10] Katz, M. L.; Shapiro, C., Network externalities, competition, and compatibility, Amer. Econ. Rev., 75, 3, 424-440 (1985)
[11] Kim, T.; Yannelis, N. C., Existence of equilibrium in Bayesian games with infinitely many players, J. Econ. Theory, 77, 330-353 (1997) · Zbl 0896.90183
[12] Kolmogorov, A. N.; Fomin, S. V., Introductory Real Analysis (1970), Dover Publications: Dover Publications New York · Zbl 0213.07305
[13] Krugman, P., History versus expectations, Quart. J. Econ., 106, 2, 651-667 (1991)
[14] Matsuyama, K., Increasing returns, industrialization, and indeterminacy of equilibrium, Quart. J. Econ., 106, 2, 617-650 (1991)
[15] Milgrom, P. R.; Roberts, J. M., Rationalizability, learning and equilibrium in games with strategic complementarities, Econometrica, 58, 1255-1277 (1990) · Zbl 0728.90098
[16] Milgrom, P. R.; Shannon, C., Monotone comparative statics, Econometrica, 62, 157-180 (1994) · Zbl 0789.90010
[17] Milgrom, P. R.; Weber, R. J., Distributional strategies for games with incomplete information, Math. Operations Res., 10, 619-632 (1985) · Zbl 0582.90106
[18] Miranda, M. J.; Fackler, P. L., Applied Computational Economics and Finance (2002), MIT Press: MIT Press Cambridge · Zbl 1014.91015
[19] Morris, S.; Shin, H. S., Unique equilibrium in a model of self-fulfilling currency attacks, Amer. Econ. Rev., 88, 587-597 (1998)
[20] Morris, S.; Shin, H. S., Global games: Theory and applications, (Dewatripont, M.; Hansen, L.; Turnovsky, S., Advances in Economics and Econometrics. Proceedings of the Eighth World Congress of the Econometric Society (2003), Cambridge Univ. Press: Cambridge Univ. Press Cambridge)
[21] Morris, S.; Shin, H. S., Co-ordination risk and the price of debt, Europ. Econ. Rev., 48, 1, 133-153 (2004)
[22] Rubinstein, A., The electronic mail game: Strategic behavior under ‘almost common knowledge’, Amer. Econ. Rev., 79, 3, 385-391 (1989)
[23] Vives, X., Nash equilibrium with strategic complementarities, J. Math. Econ., 19, 3, 305-321 (1990) · Zbl 0708.90094
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.