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Paper 1 On Games of Survival
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Annals of Mathematics assume Bayes response behavior strategy Blotto boundary bounded choice choose component condition consider continuous converges convex corresponding critical vector defined definition denote differential equation differential games distribution e-best equal equilibrium point evader example exists expected finite game finite number follows functional equations game elements game G given hence implies inequality infinite information set integral Karlin kernel Lemma linear mapping Mathematics Study matrix game maximizing minimax mixed strategies monotonic move N-tuple non-negative obtain optimal strategies paper payoff function perfect information PERFECT STRATEGIST play position possesses probability problem pure strategies RAND Corporation random recursive game result satisfies Section semi-continuous Shapley solution stationary strategies stochastic game strate strategies x strategy for Player strictly subgame subset sufficient survival game Theory of Games tion topological unique unit interval utility function value function winning zero zero-sum