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Kleisthenes and the Ascent of Democracy
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Each player has two strategies. Kleisthenes could choose a proposal that reproduces itself or one that does not. The people, followed by the nobility, can either support or oppose it. Sparta may seek to form a coalition to attack Athens or it may not. Corinth may join Sparta or it may not.
The payoffs (not shown) have to fulfill the following requirements. It is profitable for Corinth to not join the Spartan coalition. Sparta does not find it profitable to attack Athens by itself. Both people and nobility support Kleisthenes’s proposal. Kleisthenes makes a proposal that leads to a system of government that is reproducible. Writing the game in the way specified makes it simple and transparent although more complex versions, including moves by nature, are possible. The Solution to the game is: Kleisthenes makes a centrist proposal that leads to a reproducible system of government, the people support it, the nobility supports it, Sparta is indifferent between forming a coalition or not (assume forming a coalition is costless), Corinth rejects the invitation to join the Spartan coalition. If either of the Athenian faction opposes Kleisthenes’s proposal, the game ends with payoffs such that it is not worthwhile for players to follow that route.
As it turned out, the Corinthians withdrew from the battlefront after a big speech! In reality, they felt that the invasion of Athens was not in their interest! Seeing this, the two kings of Sparta split and Kleomenes was left alone to fight while the other king took his forces back to Sparta, Kleomenes also withdrew. The Athenian beat the remaining members of the coalition thus establishing democracy.
What proposal should Kleisthenes make?
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19
Each player has two strategies. Kleisthenes could choose a proposal that reproduces
itself or one that does not. The people, followed by the nobility, can either support or
oppose it. Sparta may seek to form a coalition to attack Athens or it may not. Corinth
may join Sparta or it may not.
The payoffs (not shown) have to fulfill the following requirements. It is profitable for
Corinth to not join the Spartan coalition. Sparta does not find it profitable to attack
Athens by itself. Both people and nobility support Kleisthenes’s proposal. Kleisthenes
makes a proposal that leads to a system of government that is reproducible. Writing the
game in the way specified makes it simple and transparent although more complex
versions, including moves by nature, are possible. The Solution to the game is:
Kleisthenes makes a centrist proposal that leads to a reproducible system of government,
the people support it, the nobility supports it, Sparta is indifferent between forming a
coalition or not (assume forming a coalition is costless), Corinth rejects the invitation to
join the Spartan coalition. If either of the Athenian faction opposes Kleisthenes’s
proposal, the game ends with payoffs such that it is not worthwhile for players to follow
that route.
As it turned out, the Corinthians withdrew from the battlefront after a big speech! In
reality, they felt that the invasion of Athens was not in their interest! Seeing this, the two
kings of Sparta split and Kleomenes was left alone to fight while the other king took his
forces back to Sparta, Kleomenes also withdrew. The Athenian beat the remaining
members of the coalition thus establishing democracy.
What proposal should Kleisthenes make?
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