Fredkin's Paradox

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Decision making paradigm

Fredkin's paradox reads "The more equally attractive two alternatives seem, the harder it can be to choose between them—no matter that, to the same degree, the choice can only matter less."[1] Thus, a decision-making agent might spend the most time on the least important decisions.

It was proposed by American physicist Edward Fredkin. The paradox arises from the negative correlation between the difference between two options and the difficulty of deciding between them. Developed further, the paradox constitutes a major challenge to the possibility of pure instrumental rationality.

Responses<br>[edit]

An intuitive response to Fredkin's paradox is to calibrate decision-making time with the importance of the decision: to calculate the cost of optimizing into the optimization, a version of the value of information. However, this response is self-referential and spawns a new, recursive paradox: the decision-maker must now optimize the optimization of the optimization, and so on.[2]

See also<br>[edit]

Buridan's ass

Decision theory

Cybernetics

Law of triviality (bicycle shedding)

Tyranny of small decisions

What the Tortoise Said to Achilles

References<br>[edit]

↑ Minsky, Marvin (1986). The Society of Mind. New York: Simon and Schuster. p. 52. ISBN 0-671-60740-5.

↑ Klein, Gary (2001). "The Fiction of Optimization". In Gerd Gigerenzer, Reinhard Selten (ed.). Bounded Rationality : The Adaptive Toolbox (1 ed.). London: MIT. pp. 111–112. ISBN 0-262-57164-1. Thus, if I want to optimize, I must also determine the effort it will take to optimize; however, the subtask of determining this effort will itself take effort and so forth into the tangle that self-referential activities create.

Paradoxes<br>Philosophical<br>Analysis

Buridan's bridge

Dream argument

Epicurean

Fiction

Fitch's knowability

Free will

Goodman's

Hedonism

Liberal

Meno's

Mere addition

Moore's

Nihilism

Omnipotence

Preface

Rule-following

Sorites

Theseus' ship

White horse

Zeno's

Logical<br>Barber

Berry

Bhartrhari's

Burali-Forti

Court

Crocodile

Curry's

Epimenides

Free choice paradox

Grelling–Nelson

Kleene–Rosser

Liar<br>Card

No-no

Pinocchio

Quine's

Yablo's

Opposite Day

Paradoxes of set theory

Richard's

Russell's

Socratic

Temperature paradox

Barbershop

Catch-22

Chicken or the egg

Drinker

Entailment

Lottery

Plato's beard

Raven

Ross's

Unexpected hanging

"What the Tortoise Said to Achilles"

Heat death paradox

Olbers's paradox

Economic<br>Allais

Antitrust

Arrow information

Bertrand

Braess'

Competition

Income and fertility

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Easterlin

Edgeworth

Ellsberg

European

Gibson's

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Mayfield's

Metzler

Plenty

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Scitovsky

Service recovery

Siegel's

St. Petersburg

Thrift

Toil

Tullock

Value

Decision theory<br>Abilene

Apportionment<br>Alabama

New states

Population

Arrow's

Buridan's ass

Chainstore

Decision-making

Downs

Ellsberg

Fenno's

Fredkin's

Green

Hedgehog's

Inventor's

Kavka's toxin puzzle

Morton's fork

Navigation

Newcomb's

Parrondo's

Preparedness

Prevention

Prisoner's dilemma

Sleeping Beauty

Tolerance

Two envelopes

Willpower

Veridical<br>Birthday

Boy or girl

Condorcet

Hilbert's paradox of the Grand Hotel

Monty Hall<br>Three prisoners

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