Blotto Games with Costly Winnings

Authors

  • Irit Nowik Lev Academic Center
  • Tahl Nowik Bar-Ilan University

Abstract

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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References

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Published

2022-04-17

How to Cite

Nowik, I., & Nowik, T. (2022). Blotto Games with Costly Winnings. Contributions to Game Theory and Management, 10. Retrieved from https://gametheory.spbu.ru/article/view/13261

Issue

Vol. 10 (2017)

Section

Articles

License

Articles of "Contributions to Game Theory and Management" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.