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  2. Paradox of voting - Wikipedia

    en.wikipedia.org/wiki/Paradox_of_voting

    [2] [3] The mathematician Charles L. Dodgson, better known as Lewis Carroll, published the paper "A Method of Taking Votes on More than Two Issues" in 1876. [4] This problem in modern public choice theory was analysed by Anthony Downs in 1957. [5] In a rational voter model the expected utility of voting U can be described as:

  3. Volunteer's dilemma - Wikipedia

    en.wikipedia.org/wiki/Volunteer's_dilemma

    One significant volunteer's dilemma variant was introduced by Weesie and Franzen in 1998 [4] and involves cost-sharing among volunteers. In this variant of the volunteer's dilemma, if there is no volunteer, all players receive a payoff of 0. If there is at least one volunteer, the reward of b units is distributed to all players.

  4. List of games in game theory - Wikipedia

    en.wikipedia.org/wiki/List_of_games_in_game_theory

    2 2 1 No No No No Dictator game: 2 infinite [2] 1 N/A [3] N/A [3] Yes No Diner's dilemma: N: 2 1 No No No No Dollar auction: 2 2 0 Yes Yes No No El Farol bar: N: 2 variable No No No No Game without a value: 2 infinite 0 No No Yes No Gift-exchange game: N, usually 2 variable 1 Yes Yes No No Guess 2/3 of the average: N: infinite 1 No No Maybe [4 ...

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  7. Condorcet paradox - Wikipedia

    en.wikipedia.org/wiki/Condorcet_paradox

    In social choice theory, Condorcet's voting paradox is a fundamental discovery by the Marquis de Condorcet that majority rule is inherently self-contradictory.The result implies that it is logically impossible for any voting system to guarantee that a winner will have support from a majority of voters: for example there can be rock-paper-scissors scenario where a majority of voters will prefer ...

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  9. Arrow's impossibility theorem - Wikipedia

    en.wikipedia.org/wiki/Arrow's_impossibility_theorem

    Now arrange all the voters in some arbitrary but fixed order, and for each i let profile i be the same as profile 0, but move B to the top of the ballots for voters 1 through i. So profile 1 has B at the top of the ballot for voter 1, but not for any of the others. Profile 2 has B at the top for voters 1 and 2, but no others, and so on.