Geodesic
Generalized integral equations for timing games
Contributions to game theory and management, Tome 16 (2023), pp. 182-191

Voir la notice de l'article provenant de la source Math-Net.Ru

We consider timing games, the payoff functions of which have additional break lines outside the unit square diagonal. A special case of such games are games with piecewise constant payoff functions. Solving these games is reduced to solving a pair of integral equations for the distribution functions of equalizing strategies. The proposed solution methods can be used in the study of random walks on a segment in a variable environment.
Keywords: timing game, game on the unit square, random walks. 
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     author = {Mikhail M. Lutsenko},
     title = {Generalized integral equations for timing games},
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     year = {2023},
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     url = {http://geodesic.mathdoc.fr/item/CGTM_2023_16_a11/}
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Mikhail M. Lutsenko. Generalized integral equations for timing games. Contributions to game theory and management, Tome 16 (2023), pp. 182-191. http://geodesic.mathdoc.fr/item/CGTM_2023_16_a11/