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Update lottery_voting.md

See merge request medlabboulder/democraticmediums!20

docs/mediums/lottery_voting.md

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 # Lottery voting
 
-<!---https://pdfs.semanticscholar.org/6fd7/0eabac758800771f8baf880e7064cf361aa3.pdf-->
+Lottery voting is a system that strives to elect a legislature that accurately represents a community. Each citizen casts a ballot and one from each district is randomly drawn from the pool.
+
+**Input:** voting populace; equally divided districts; equal-value ballots from each voter; candidate tickets
+
+**Output:** an elected population based on probability
+
+## Background
+
+Lottery voting was conceived by Akhil Reed Amar in a 1984 Yale Law Journal article. He followed this with a 1995 piece that classifies the system as a thought experiment and a way to better understand the pros and cons of current voting systems and their democratic mechanisms.
+
+## Feedback loops
+
+### Sensitivities
+
+* Lottery voting has the potential to more fairly represent minority groups; a candidate with only 20% of the votes still has a 20% chance of being chosen randomly
+* Every candidate has a feasible chance of winning, which [can lead to greater voter turnout]( https://cedar.wwu.edu/cgi/viewcontent.cgi?article=1042&context=wwu_honors)
+* It can prevent strategic voting in which an individual votes for someone they don’t support as strongly to prevent another candidate from winning
+* Gerrymandering would not be effective nor useful in this system; voting districts would be equal in population and therefore ballots would be equal in representation 
+* Challenges elected officials staying in office for exorbitant amounts of time, as there is a higher chance that a new candidate will be elected; Amar defines this as a type of built-in term limit
+
+### Oversights
+
+* This system is only effective on a large scale with multiple representatives
+* The chance of an undesirable candidate getting chosen from the pool is still present
+* It can decrease the voting populace’s feelings of political efficacy, or having a direct impact on the outcome
+
+## Implementations
+
+### Communities
+
+Because of its original conception as a thought experiment, lottery voting is not currently implemented in any large-scale democracies.
+
+### Tools
+
+Probability tools can be found [online]( https://www.interactive-maths.com/probability-tools-flash.html) and in a variety of [phone applications]( https://apps.apple.com/us/app/probability-tools/id544340525).
+
+## Further resources
+
+Amar, A. R. (1995). Lottery Voting: A Thought Experiment. In University of Chicago Legal Forum (Vol. 1995, No. 1, p. 8).
+
+Amar, A. (1984). Choosing Representatives by Lottery Voting. The Yale Law Journal, 93(7), 1283-1308. doi:10.2307/796258
+
+GUERRERO, A. A. (2014). Against elections: The lottocratic alternative. Philosophy & Public Affairs, 42(2), 135-178. doi:10.1111/papa.12029