Hofbauer, Josef; Sorger, Gerhard A differential game approach to evolutionary equilibrium selection. (English) Zbl 1017.91009 Int. Game Theory Rev. 4, No. 1, 17-31 (2002). The authors deal with the problem of equilibrium selection: if a game has several equilibria, how can one determine which one to choose? In the paper under review, they investigate a model of rational players with perfect foresight due to A. Matsui and K. Matsuyama [J. Econ. Theory 65, 415-434 (1995; Zbl 0835.90121)] for \(N\)-player games, and derive results for games with a \(\frac{1}{2}\)-dominan equilibrium (Section 4.1), for games with a potential function (Section 4.2) and for supermodular games (Section 4.3). Their results in Section 4.2 extend their own research from [J. Econ. Theory 85, 1-23 (1999; Zbl 0922.90146)] to \(N\)-person games (Lemma 4.1 and Theorem 4.2). Reviewer: Benedikt Löwe (Amsterdam) Cited in 1 ReviewCited in 19 Documents MSC: 91A23 Differential games (aspects of game theory) 91A06 \(n\)-person games, \(n>2\) Keywords:equilibrium selection; perfect foresight; potential game Citations:Zbl 0835.90121; Zbl 0922.90146 PDFBibTeX XMLCite \textit{J. Hofbauer} and \textit{G. Sorger}, Int. Game Theory Rev. 4, No. 1, 17--31 (2002; Zbl 1017.91009) Full Text: DOI References: [1] DOI: 10.2307/2951491 · Zbl 0794.90083 · doi:10.2307/2951491 [2] DOI: 10.1111/1467-937X.00119 · Zbl 0956.91027 · doi:10.1111/1467-937X.00119 [3] DOI: 10.1023/A:1018979708014 · Zbl 0942.91018 · doi:10.1023/A:1018979708014 [4] DOI: 10.1006/jeth.1998.2485 · Zbl 0922.90146 · doi:10.1006/jeth.1998.2485 [5] DOI: 10.1006/game.1996.0066 · Zbl 0859.90131 · doi:10.1006/game.1996.0066 [6] DOI: 10.1006/game.1997.0556 · Zbl 0882.90132 · doi:10.1006/game.1997.0556 [7] DOI: 10.1006/jeth.1995.1015 · Zbl 0835.90121 · doi:10.1006/jeth.1995.1015 [8] DOI: 10.1006/game.1996.0044 · Zbl 0862.90137 · doi:10.1006/game.1996.0044 [9] Oyama D., Journal of Economic Theory, forthcoming. (2000) [10] DOI: 10.1016/S0899-8256(05)80021-1 · Zbl 0833.90131 · doi:10.1016/S0899-8256(05)80021-1 [11] DOI: 10.1111/1468-0262.00246 · Zbl 1041.91006 · doi:10.1111/1468-0262.00246 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.