AatubeRandom ballot
Random ballot #random #wikipedia #socialchoice #elections #voting #ballot #social
PhilosophicsEnlightenment thinkers built democracy on a fiction: rational citizens who never existed
I’ve distilled the argument into a six-premise syllogism — a logical skeleton that shows how institutional assumptions collapse against human cognition, Arrow’s impossibility theorem, and Dunbar’s limits of scale.
#politicalphilosophy #democracy #rationality #enlightenment #socialchoice #psychology #sociology #philosophy #blog #models #philosophy #history #rationality #fail #essay
AnthonyMy half-baked deep thought of the weekend:
Arrow’s Impossibility Theorem should be renamed Arrow's Context-Sensitivity Theorem, and re-interpreted as saying a social choice function that neglects context leads to dictators.
I say this because the axiom of independence from irrelevant alternatives--one of the assumptions behind the theorem--states that a social choice function should be such that the relationship between A and B is not changed once a new alternative C is introduced. Unpacked, this means the choice function should be insensitive to any context C might bring with it.
Arrow's theorem essentially says that a social choice function satisfying this and a couple other axioms leads to dictators (meaning, one individual's preferences dictate the social choice function's preferences, overruling everyone else involved in the choice who might disagree). Hence the re-interpretation: neglecting context in social choice leads to dictators.
#economics #SocialWelfare #SocialChoice #WelfareEconomics #DecisionTheory #ArrowsTheorem
Arrow’s Impossibility Theorem should be renamed Arrow's Context-Sensitivity Theorem, and re-interpreted as saying a social choice function that neglects context leads to dictators.
I say this because the axiom of independence from irrelevant alternatives--one of the assumptions behind the theorem--states that a social choice function should be such that the relationship between A and B is not changed once a new alternative C is introduced. Unpacked, this means the choice function should be insensitive to any context C might bring with it.
Arrow's theorem essentially says that a social choice function satisfying this and a couple other axioms leads to dictators (meaning, one individual's preferences dictate the social choice function's preferences, overruling everyone else involved in the choice who might disagree). Hence the re-interpretation: neglecting context in social choice leads to dictators.
#economics #SocialWelfare #SocialChoice #WelfareEconomics #DecisionTheory #ArrowsTheorem
bilemasaronitahawalakipitanI was thinking about voting systems earlier: has there been research into a system where the probability of a decision being made is a monotonic function of its votes?
https://en.wikipedia.org/wiki/Random_ballot is just this but with the function being the identity, but I wonder if others have been explored.
#voting #elections #democracy #socialchoice #votingsystems #electoralsystems #gametheory #probability
J LouWhy #Democracy is Mathematically Impossible
#elections #voting #SocialChoiceTheory #SocialChoice #economics #politics #utilitarianism #utilitarian #GameTheory
Why Democracy Is Mathematically Impossible
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Willow!🗳️ rated choice voting > 🗳️ ranked choice voting
https://www.youtube.com/watch?v=qf7ws2DF-zk
#elections #socialchoice #mathematics #democracy #vote #rankedchoicevoting #ratedchoicevoting
Why Democracy Is Mathematically Impossible
Democracy might be mathematically impossible – here’s why. Head to https://brilliant.org/veritasium to start your free 30-day trial and get 20% off an annual...
I recommend the following seminar presentation not only for the insights offered, but for truly superb philosophical exposition. The three domains discussed are decision theory, formal epistemology, and social choice theory.
"Lara Buchak - How to Care about Risk, Inequality, and Caution"
https://www.youtube.com/watch?v=rcFFRr3i8V0&t=26s
#philosophy #FormalEpistemology #DecisionTheory #SocialChoice
"Lara Buchak - How to Care about Risk, Inequality, and Caution"
https://www.youtube.com/watch?v=rcFFRr3i8V0&t=26s
#philosophy #FormalEpistemology #DecisionTheory #SocialChoice
Lara Buchak - How to Care about Risk, Inequality, and Caution
LodewijkI think it's time to stop using 'marriage setting' with men and women as primary example in matching... there are plenty of other examples! #socialchoice
Open Book Publishers📢#OutNow in #OA: 'Models in #Microeconomic Theory: Expanded Second Edition (She & He)' by Martin J. Osborne & Ariel Rubinstein.
Part I presents models of an #economic agent, discussing abstract models of preferences, choice, and decision-making under uncertainty, before turning to models of the #consumer, the #producer, and #monopoly. Part II introduces the concept of #equilibrium, beginning, unconventionally, with the models of the jungle and an #economy with indivisible goods, and continuing with models of an exchange economy, equilibrium with rational expectations, and an #economy with asymmetric information. Part III provides an introduction to #gametheory, covering #strategic and extensive #games and the concepts of #Nash #equilibrium and #subgame perfect equilibrium. Part IV gives a taste of the topics of #mechanismdesign, #matching, the #axiomatic analysis of #economic systems, and #socialchoice.
https://doi.org/10.11647/OBP.0361
https://doi.org/10.11647/OBP.0362
Models in Microeconomic Theory: Expanded Second Edition (She)
Models in Microeconomic Theory covers basic models in current microeconomic theory. Part I (Chapters 1-7) presents models of an economic agent, discussing abstract models of preferences, choice, and decision making under uncertainty, before turning to models of the consumer, the producer, and monopoly. Part II (Chapters 8-14) introduces the concept of equilibrium, beginning, unconventionally, with the models of the jungle and an economy with indivisible goods, and continuing with models of an exchange economy, equilibrium with rational expectations, and an economy with asymmetric information. Part III (Chapters 15-16) provides an introduction to game theory, covering strategic and extensive games and the concepts of Nash equilibrium and subgame perfect equilibrium. Part IV (Chapters 17-20) gives a taste of the topics of mechanism design, matching, the axiomatic analysis of economic systems, and social choice.
xameerIn #socialchoice theory, non-principal #ultrafilters are used to define a rule ( #socialwelfare f) for aggregating preferences of infinitely many individuals. Contrary to Arrow's impossibility theorem for finitely many individuals, it conditions (properties) that Arrow proposes