Final published version
Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Complete information pivotal-voter model with asymmetric group size
AU - Mavridis, Christos
AU - Serena, Marco
PY - 2018/10
Y1 - 2018/10
N2 - We study the equilibria of the standard pivotal-voter participation game between two groups of voters of asymmetric sizes (majority and minority), as originally proposed by Palfrey and Rosenthal (Public Choice 41(1):7–53, 1983). We find a unique equilibrium wherein the minority votes with certainty and the majority votes with probability in (0, 1); we prove that this is the only equilibrium in which voters of only one group play a pure strategy, and we provide sufficient conditions for its existence. Equilibria where voters of both groups vote with probability in (0, 1) are analyzed numerically.
AB - We study the equilibria of the standard pivotal-voter participation game between two groups of voters of asymmetric sizes (majority and minority), as originally proposed by Palfrey and Rosenthal (Public Choice 41(1):7–53, 1983). We find a unique equilibrium wherein the minority votes with certainty and the majority votes with probability in (0, 1); we prove that this is the only equilibrium in which voters of only one group play a pure strategy, and we provide sufficient conditions for its existence. Equilibria where voters of both groups vote with probability in (0, 1) are analyzed numerically.
KW - Costly voting
KW - Pivotal voter model
KW - Complete information
U2 - 10.1007/s11127-018-0585-6
DO - 10.1007/s11127-018-0585-6
M3 - Journal article
VL - 177
SP - 53
EP - 66
JO - Public Choice
JF - Public Choice
SN - 0048-5829
IS - 1-2
ER -