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It is not the case that Maximax and maximin rules for uncertainty yield conflicting prescriptions when infinite values appear in multiple columns of the decision matrix.
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Reasons For
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Reason for
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1.
The claim conflates mathematical infinity with decision-theoretic choice; infinity signals ill-specified problems, not inherent rule conflict.
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2.
Maximin and maximax apply to different decision contexts (risk-averse vs. risk-seeking); expecting them to agree assumes false equivalence.
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3.
Infinite payoffs in multiple columns typically indicate the decision matrix itself is malformed; proper formulation eliminates the supposed conflict.
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Reasons Against
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Reason against
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1.
Maximin selects worst-case outcomes while maximax selects best-case outcomes; infinite values create incomparable worst/best cases across options.
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2.
When multiple columns contain infinity, no single decision rule consistently ranks options, exposing fundamental logical conflict in the framework.
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3.
Real decisions under uncertainty often face payoff structures with unbounded upside and downside; ignoring this reveals practical limitations of both rules.
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