Geodesic
Blotto games with costly winnings
Contributions to game theory and management, Tome 10 (2017), pp. 226-232

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

We introduce a new variation of the stochastic asymmetric Colonel Blotto game, where the n battles occur as sequential stages of the game, and the winner of each stage needs to spend resources for maintaining his win. The limited resources of the players are thus needed both for increasing the probability of winning and for the maintenance costs. We show that if the initial resources of the players are not too small, then the game has a unique Nash equilibrium, and the given equilibrium strategies guarantee the given expected payoff for each player. 
@article{CGTM_2017_10_a14,
     author = {Irit Nowik and Tahl Nowik},
     title = {Blotto games with costly winnings},
     journal = {Contributions to game theory and management},
     pages = {226--232},
     publisher = {mathdoc},
     volume = {10},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2017_10_a14/}
}
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Irit Nowik; Tahl Nowik. Blotto games with costly winnings. Contributions to game theory and management, Tome 10 (2017), pp. 226-232. http://geodesic.mathdoc.fr/item/CGTM_2017_10_a14/