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Agent A solves: max x_{1A} + x_{2A} s.t p x_{1A} + x_{2A} = 2p + 1 and agent B solves max (1+epsilon)x_{1B} + x_{2B} s.t

Agent A solves: \max x_{1A} + x_{2A} s.t p x_{1A} + x_{2A} = 2p + 1 and agent B solves \max (1+\epsilon)x_{1B} + x_{2B} s.t p x_{1B} + x_{2B} = p+ 2 with \epsilon > 0 and small. e_A = (2,1) and e_B = (1,2). The goods are indivisibles. Is it a competitive equilibrium to consume only the endowments given (p_1^*, p_2^*) = (1+2\epsilon, 1)

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