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Alternative Game Theoretic Analysis of a Bankruptcy Problem from the Talmud: TheCase of the Greedy Bankruptcy Game

机译:“塔木德”破产问题的另类博弈理论分析:贪婪破产案的案例

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The bankruptcy problem from the Talmud is modelled as a game(in coalitional formwith transferable utility) which difers from the 'standard bankruptcy game'. A non-game theoretic solution to the bankruptcy problem is recovered by two different game theoretical approaches applied to the alternative game. The major game theoretic approach enables to interpret pairwise greedy or modest claims of creditors as largest or smallest core-allocations to creditors in the alternative game. A theory of consistency is eluciated with elementary game theoretic tools and proofs. As a separate topic, the indirect function of the 'standard bankruptcy game' is determined and interpreted in an economic manner. The indirect function may be helpful to describe the game itself as well as its core (due to the duality between games and indirect functions).

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