In this report, some properties of the set of Nash equilibria (NEs) of 2 × 2 zero-sum games are reviewed. In particular, the cardinality of the set of NEs is given in terms of the entries of the payoff matrix. Moreover, closed-form expressions for the NE strategies and the payoff at the NE (the value of the game) are provided in terms of the...
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November 15, 2022 (v1)ReportUploaded on: December 4, 2022
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January 28, 2021 (v1)Book section
International audience
Uploaded on: December 4, 2022 -
June 25, 2023 (v1)Conference paper
In this paper, 2 × 2 zero-sum games are studied under the following assumptions: (1) One of the players (the leader) commits to choose its actions by sampling a given probability measure (strategy); (2) The leader announces its action, which is observed by its opponent (the follower) through a binary channel; and (3) the follower chooses its...
Uploaded on: May 13, 2023 -
May 30, 2023 (v1)Report
In this report, 2 × 2 zero-sum games are studied under the following assumptions: (1) One of the players (the leader) commits to choose its actions by sampling a given probability measure (strategy); (2) The leader announces its action, which is observed by its opponent (the follower) through a binary channel; and (3) the follower chooses its...
Uploaded on: May 17, 2023 -
November 3, 2022 (v1)Publication
In this paper, 2 × 2 zero-sum games (ZSGs) are studied under the following assumptions: (1) One of the players (the leader) publicly and irrevocably commits to choose its actions by sampling a given probability measure (strategy); (2) The leader announces its action, which is observed by its opponent (the follower) through a binary channel; and...
Uploaded on: December 3, 2022 -
March 1, 2020 (v1)Journal article
Random attacks that jointly minimize the amount of information acquired by the operator about the state of the grid and the probability of attack detection are presented. The attacks minimize the information acquired by the operator by minimizing the mutual information between the observations and the state variables describing the grid....
Uploaded on: December 4, 2022