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Technical note: “An irrational-behavior-proof condition in cooperative differential games”. (English) Zbl 1274.91075

Summary: Under dynamic cooperation a player may use ‘irrational’ acts to extort additional gains if later circumstances allow. In this article we present a condition under which even if irrational behaviors appear later in the game the concerned player would still be performing better under the cooperative scheme.

MSC:

91A23 Differential games (aspects of game theory)
91A12 Cooperative games
Full Text: DOI

References:

[1] DOI: 10.1016/S0165-1889(00)00013-0 · Zbl 0978.91018 · doi:10.1016/S0165-1889(00)00013-0
[2] M. V. Markovkin, Dynamic Games and Their Applications, eds. L. A. Petrosyan and A. Y. Garnaev (St Petersburg State University, St Petersburg, 2006) pp. 207–216.
[3] Petrosyan L. A., Cooperative differential games and their applications (1982)
[4] DOI: 10.1142/S0219198904000204 · Zbl 1105.91005 · doi:10.1142/S0219198904000204
[5] DOI: 10.1023/B:JOTA.0000025714.04164.e4 · Zbl 1140.91321 · doi:10.1023/B:JOTA.0000025714.04164.e4
[6] DOI: 10.1007/s10957-004-1181-0 · Zbl 1110.91007 · doi:10.1007/s10957-004-1181-0
[7] Yeung D. W. K., Cooperative Stochastic Differential Games (2006) · Zbl 1108.91002
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