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. 
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     author = {Irit Nowik and Tahl Nowik},
     title = {Blotto games with costly winnings},
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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/

[1] “The theory of play and integral equations with skew symmetric kernals”, Econometrica, 21 (1953), 97–100 | DOI | MR | Zbl | Zbl

[2] Duffy J., Matros A., “Stochastic asymmetric Blotto games: Some new results”, Economic Letters, 134 (2015), 4–8 | DOI | MR | Zbl

[3] Friedman L., “Game-theory models in the allocation of advertising expenditures”, Operations research, 6:5 (1958), 699–709 | DOI | MR

[4] Hart S., “Discrete Colonel Blotto and General Lotto games”, International Journal of Game Theory, 36 (2008), 441–460 | DOI | MR | Zbl

[5] Lake M., “A new campaign resource allocation model”, Applied Game theory, eds. Barms S.J., Schotter A., Schwodiauer G., Physica-Verlag, Wurzburg, West Germany, 1979, 118–132 | DOI | MR

[6] Nowik I., “The game motoneurons play”, Games and Economic Behavior, 66 (2009), 426–461 | DOI | MR | Zbl

[7] Nowik I., Zamir S., Segev I., “Losing the battle but winning the war: game theoretic analysis of the competition between motoneurons innervating a skeletal muscle”, Frontiers in Computational neuroscience, 6 (2012), 16 | DOI

[8] Roberson B., “The Colonel Blotto game”, Economic Theory, 29 (2006), 1–24 | DOI | MR | Zbl