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Anarchy versus the State: The Neglected Role of Ideology

Anarchy versus the State: The Neglected Role of Ideology. By Robert P. Murphy. The Model . There is a finite population of N consumers, denoted by the set C={C 1 , C 2 , C 3 , …, C N } .

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Anarchy versus the State: The Neglected Role of Ideology

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  1. Anarchy versus the State:The Neglected Role of Ideology By Robert P. Murphy

  2. The Model • There is a finite population of N consumers, denoted by the set C={C1, C2, C3, …, CN}. • The set of consumers is indexed such that the first R (where 0≤R≤N)consumers are resisters, while the remainder (if any) are “quislings.”

  3. The Agencies • There is a finite set of N agencies A={A1, A2, A3, …, AN}, where each and the Ai are mutually exclusive and exhaustive of C. • Any particular Aimay be empty, but

  4. Combat The side with superior (adjusted) strength wins the (adjusted) strength of the loser, but suffers combat damage of

  5. Strength for Agency i • Defensive: p2(ri+qi) • Aggressive: p1ri+p2qi

  6. Proposition 1 • If and thenthere exists a defensive equilibrium in which RI≤R consumers are independent resisters, while the remaining N-RI consumers belong to a single agency.

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