Sania and Saina are bargaining over how to split 10 Rupees. Both claimants simultaneously name shares they would like to have, and , where . If then the claimants receive the shares they named; otherwise both receive zero. Find all pure strategy Nash equilibria of this game
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Sania and Saina are bargaining over how to split 10 Rupees. Both claimants simultaneously name shares they would like to have, s₁ and s₂, where 0≤ s₁,s₂≤ 10. If s₁+s₂≤ 10 then the claimants receive the shares they named; otherwise both receive zero. Find all pure strategy Nash equilibria of this game (A) s₁=5, s₂=5 (B) {(s₁,s₂)| s₁+s₂=10} (C) {(s₁,s₂)| s₁+s₂≤ 10} (D) There is no pure strategy Nash equilibrium
Also written as: Sania and Saina are bargaining over how to split 10 Rupees. Both claimants simultaneously name shares they would like to have, s_1 and s_2, where 0<= s_1,s_2<= 10. If s_1+s_2<= 10 then the claimants receive the shares they named; otherwise both receive zero. Find all pure strategy Nash equilibria of this game
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This question is on Applied games: public goods, voting and location, part of Game theory and strategic behaviour in Game Theory.
Strategic models of provision, voting, bargaining and where to locate.
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Question from the DSE 2012 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.