We study a scenario where elections are held and two parties, a tra- ditional downsian party and a party implementing Participatory Democ- racy, compete to win elections. We examine in detail the options of the party representing Participatory Democracy to win. The Participatory Democracy party will celebrate an assembly if taking-o¢ ce, where any citizen-candidate can represent his ideal position. This will make eval- uate the party as a lottery. We consider di§erent assembly equilibria varying the number of candidates. We include the valence characteristic concept and show the di§erent strategies of both parties according to the valence advantage over the opponent
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