Prove finite belief space has a consistent belief subspace

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1. Prove or disprove: Every finite belief space has a consistent belief subspace.

2. Prove or disprove: If Y˜ i(ω) is inconsistent for some player i ∈ N, then Y˜ (ω) is also inconsistent.

3. Prove or disprove: If Y˜ i(ω) is inconsistent for every player i ∈ N, then Y˜ (ω) is also inconsistent.

Reference no: EM131332754

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