TY - JOUR
T1 - Games with costly winnings
AU - Nowik, Irit
AU - Nowik, Tahl
PY - 2017/12/1
Y1 - 2017/12/1
N2 - 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.
AB - 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.
KW - Costly winnings
KW - Game theory
KW - Stochastic blotto games
UR - http://www.scopus.com/inward/record.url?scp=85028000876&partnerID=8YFLogxK
U2 - 10.1142/s0219198917500165
DO - 10.1142/s0219198917500165
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AN - SCOPUS:85028000876
SN - 0219-1989
VL - 19
JO - International Game Theory Review
JF - International Game Theory Review
IS - 4
M1 - 1750016
ER -