Cake-cutting | Non-cooperative games | Fair division protocols

Divide and choose

Divide and choose (also Cut and choose or I cut, you choose) is a procedure for fair division of a continuous resource, such as a cake, between two parties. It involves a heterogeneous good or resource ("the cake") and two partners who have different preferences over parts of the cake. The protocol proceeds as follows: one person ("the cutter") cuts the cake into two pieces; the other person ("the chooser") selects one of the pieces; the cutter receives the remaining piece. The procedure has been used since ancient times to divide land, cake and other resources between two parties. Currently, there is an entire field of research, called fair cake-cutting, devoted to various extensions and generalizations of cut-and-choose. (Wikipedia).

Divide and choose
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The Divider-Chooser Method of Fair Division - Why It Is Meant For Only 2 Players

This video explains why the divider-chooser method is meant for only 2 players. Site: http://mathispower4u.com

From playlist Fair Division

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Adding, subtracting, multiplying and dividing two functions

πŸ‘‰ Learn how to apply operations to functions such as adding, subtracting, multiplying, and dividing to two functions. To add/subtract/multiply or divide two functions, we algebraically add/subtract/multiply or add the rules (contents) of the two functions. We will then simplify the sum, d

From playlist Add Subtract Multiply Divide Functions

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Fair Division: The Divider-Chooser Method

The video explains the divider-chooser method of fair division. Site: http://mathispower4u.com

From playlist Fair Division

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Fair Division: The Lone Divider Method

This video explains and provides an example of the lone divider method of fair division. Site: http://mathispower4u.com

From playlist Fair Division

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Dividing two exponents with fractional powers

πŸ‘‰ Learn how to divide with rational powers. To divide with numbers/expressions with rational exponents, we apply the basic rules of exponents. If the two numbers/expressions are the same, we simply take one of the number and raise it to the power of the difference between the exponents of

From playlist Divide Rational Exponents

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Operations with functions all four of them

πŸ‘‰ Learn how to apply operations to functions such as adding, subtracting, multiplying, and dividing to two functions. To add/subtract/multiply or divide two functions, we algebraically add/subtract/multiply or add the rules (contents) of the two functions. We will then simplify the sum, d

From playlist Add Subtract Multiply Divide Functions

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How to multiply two functions and identify domain

πŸ‘‰ Learn how to apply operations to functions such as adding, subtracting, multiplying, and dividing to two functions. To add/subtract/multiply or divide two functions, we algebraically add/subtract/multiply or add the rules (contents) of the two functions. We will then simplify the sum, d

From playlist Add Subtract Multiply Divide Functions

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Simplifying a rational expression using rational exponents

πŸ‘‰ Learn how to divide with rational powers. To divide with numbers/expressions with rational exponents, we apply the basic rules of exponents. If the two numbers/expressions are the same, we simply take one of the number and raise it to the power of the difference between the exponents of

From playlist Divide Rational Exponents

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Dividing Fractions

πŸ‘‰ Learn how to divide fractions. To divide two fractions, we multiply the first fraction by the reciprocal of the second fraction. (The reciprocal of a fraction is swapping the positions of the numerator and the denominator). It is important to reciprocate only the divisor or the fraction

From playlist How to Divide Fractions

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Combination Examples

This video provides four examples of combinations.

From playlist Probability

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Counting, Permutations, Combinations, and Probability Lesson

This video provides a lesson on counting, permutations, combinations, and probability. http://mathispower4u.com

From playlist Probability

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Determining Probability Using Combinations

This video explains how to determine probability that can be found using combinations and basic probability. http://mathispower4u.yolasite.com/

From playlist Counting and Probability

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[Discrete Mathematics] Inclusion Exclusion Problems

Practice Problems for Inclusion-Exclusion Principle Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW *--Playlists--* Discrete Mathematics 1: https://www.youtube.com/playlist?list=PLDDGPdw7e6Ag1EIznZ-m-qXu4XX3A0cIz Discrete Mathematics 2: https://www.yo

From playlist Discrete Math 2

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Problems in Probability with Combinations | Statistics

We talk about problems in probability with combinations. We do a lightbulb problem and a phone servicing problem from the staple textbook in Statistics and Probability (Devore). #Statistics #Probability Full Courses: http://TrevTutor.com Join this channel to get access to perks: https://

From playlist Statistics

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Probability Tricks

To support free math by tecmath on Patreon: https://www.patreon.com/tecmath To donate to the tecmath channel: https://paypal.me/tecmath?locale.x=en_AU These probability tricks will help you easily and quickly sort out those more difficult probability questions in no time. Through th

From playlist permutations and combinations

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Permutations Combinations Factorials & Probability

Learn about permutations, combinations, factorials and probability in this math tutorial by Mario's Math Tutoring. We discuss the formulas as well as go through numerous examples. We discuss the multiplication counting principle as well as distinct permutations of n objects. 00:00 Intro

From playlist Algebra 2

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The Binomial Theorem | A-level Mathematics

Understanding the binomial theorem. Thanks for watching! This is applicable when the exponent of the binomial is a natural number. If the exponent is a fraction, you need a slightly different version of this theorem which is a topic for another video. ❀️ ❀️ ❀️ Support the channel ❀️

From playlist A-level Mathematics Revision

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Introduction to number theory lecture 8. Applications of binomial coefficients

This lecture is part of my Berkeley math 115 course "Introduction to number theory" For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8 We discuss some applications of binonial coefficients, such as an approximate estimate for

From playlist Introduction to number theory (Berkeley Math 115)

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Determine How Many Subsets Meet Various Conditions (2)

This lesson provides examples of how to determine the number of subsets of a given set under various conditions.

From playlist Counting (Discrete Math)

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Simplifying a rational expression with rational exponents

πŸ‘‰ Learn how to divide with rational powers. To divide with numbers/expressions with rational exponents, we apply the basic rules of exponents. If the two numbers/expressions are the same, we simply take one of the number and raise it to the power of the difference between the exponents of

From playlist Divide Rational Exponents

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