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An elementary proof that additive i-likelihood characterizes the supports of consistent assessments

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  • Streufert, Peter A.

Abstract

I prove a convenient reformulation of Kreps and Wilson (1982, Lemma A1), whose proof has a nontrivial gap. Essentially, the support of a consistent assessment is characterized by the additive representability of the infinite-relative-likelihood relation that the support implies. My proof is unexpectedly elementary, for it relies solely on a classic result about additive representation, which in turn relies solely on Farkas’ Lemma.

Suggested Citation

  • Streufert, Peter A., 2015. "An elementary proof that additive i-likelihood characterizes the supports of consistent assessments," Journal of Mathematical Economics, Elsevier, vol. 59(C), pages 37-46.
    • Handle: RePEc:eee:mateco:v:59:y:2015:i:c:p:37-46
    DOI: 10.1016/j.jmateco.2015.03.003
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    References listed on IDEAS

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    1. Kreps, David M & Wilson, Robert, 1982. "Sequential Equilibria," Econometrica, Econometric Society, vol. 50(4), pages 863-894, July.
    2. Giacomo Bonanno, 2013. "AGM-consistency and perfect Bayesian equilibrium. Part I: definition and properties," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(3), pages 567-592, August.
    3. Peter A. Streufert, 2012. "Specifying Nodes as Sets of Actions," University of Western Ontario, Departmental Research Report Series 20122, University of Western Ontario, Department of Economics.
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    Cited by:

    1. Peter A. Streufert, 2021. "A Category for Extensive-Form Games," Papers 2105.11398, arXiv.org.
    2. Peter A. Streufert, 2016. "The Category of Node-And-Choice Forms for Extensive-Form Games," University of Western Ontario, Departmental Research Report Series 20165, University of Western Ontario, Department of Economics.

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