Skip to content
Carmelics
TopicsThinkersChangesContributorsLoading account…

    Carmelics

    A reasoning platform. Break down any belief into clear reasons, explore both sides, and weigh the evidence honestly.

    Navigate

    • Topics
    • Search
    • Recent Changes
    • Contribute
    • How It Works
    • Glossary
    • Thinkers
    • Contributors
    • About
    • Statistics
    • Terms
    • Privacy

    Database

    Statements
    —
    Perspectives
    —
    Topics
    —

    Press ? for keyboard shortcuts

    LoyalLoyalJusticeJustice
    Made withinDC&Austin
    Statements
    321,452
    Perspectives
    108,905
    Topics
    42
    Harsanyi's purification theorem shows that beliefs about ... — Carmelics
    Home
    HistoryEditSee Inverse

    Part of a larger discussion

    Challenges→Identifying the solution to Selten's Horse on general principles requires reasoning about players' beliefs about conditional probabilities, not merely strategic beliefs about actions.

    Harsanyi's purification theorem shows that beliefs about mixed strategies reduce to beliefs about payoff perturbations, collapsing the distinction between strategic and probabilistic beliefs.

    ?Rate how convincing each reason is below to see the overall strength.

    No one has weighed in yet. Be the first to share reasons for or against this statement.

    Sign in or register to share your perspective on this statement.

    Key Terms

    Game theory(mathematics and philosophy)
    The mathematical study of strategic interactions where each person's outcome depends not just on their own choices, but on what other people choose to do.
    Harsanyi, John(The purification theorem is his major contribution to game theory)
    A Hungarian-American economist and game theorist who won the Nobel Prize for his work on how people make decisions in situations where the outcome depends on what multiple people do.
    Mixed strategies(as used in game theory and rational decision-making)
    A plan where you randomly choose between different actions according to certain odds, rather than always doing the same thing.
    Payoff perturbations(Used in Harsanyi's theorem to explain why randomized play happens)
    Small, random changes to the rewards or punishments a player gets from different game outcomes.

    Next step

    Based on where you are in your exploration

    Explore a random proposition
    Start fresh with something unrelated.
    Probabilistic beliefs(epistemology (how we know things))
    Beliefs about something that aren't certain—like thinking there's a 70% chance something is true rather than knowing it for sure.
    Purification theorem(game theory concept)
    Harsanyi's mathematical proof showing that certain random strategies in games can be explained as if players were just making very precise (non-random) choices based on information they couldn't quite perceive.
    strategic beliefs(Contrasted with beliefs about conditional probability in the context of Selten's Horse)
    Beliefs that concern only what players will do given a set of payoffs and game structures, as opposed to beliefs about the epistemic or probabilistic frameworks other players operate with.

    Connections

    2 topics

    Truth & Knowledge1 linkedPhilosophy of Language1 linked

    Related

    Identifying the solution to Selten's Horse on general principles requires reason...

    Details

    Type
    claim
    Perspectives
    0 (0 for, 0 against)
    Edits
    1 edit

    Open for perspectives

    This idea is waiting for its first supporting or challenging perspective.

    Share the first perspective