Games with Costly Winnings

Irit Nowik () and Tahl Nowik ()
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Irit Nowik: Department of Industrial Engineering and Management, Lev Academic Center, P.O. Box 16031, Jerusalem 9116001, Israel
Tahl Nowik: ��Department of Mathematics, Bar-Ilan University, Ramat-Gan 5290002, Israel

International Game Theory Review (IGTR), 2017, vol. 19, issue 04, 1-9

Abstract: We introduce a new sequential game, where each player has a limited resource that he needs to spend on increasing the probability of winning each stage, but also on maintaining the assets that he has won in the previous stages. Thus, the players’ strategies must take into account that winning at any given stage negatively affects the chances of winning in later stages. Whenever the initial resources of the players are not too small, we present explicit strategies for the players, and show that they are a Nash equilibrium, which is unique in an appropriate sense.

Keywords: Game theory; stochastic Blotto games; costly winnings (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1142/S0219198917500165

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