4 problems
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Optimality of the channel-capture algorithm for all numbers of users
Consider a slotted multiple-access channel with users. In each slot, let denote the number of transmitting users, with the value of reported without error a…
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Mertens's asymptotic value conjecture for zero-sum repeated games
Let a finite two-person zero-sum repeated game have values for its -stage games and for its -discounted games, where and…
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Renault's conjecture on first-order beliefs as sufficient auxiliary variables
In a repeated game, let the first-order beliefs of the two players be the beliefs each player has about the relevant underlying state, and let their distributions describe the indu…
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Equilibrium conjecture for infinitely repeated games with incomplete information
Equilibrium conjecture. For all signalling functions , the corresponding infinitely repeated game of incomplete information on one side has an equilibrium, meaning a pair…