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The Neglected Ideology: Anarchy Versus the State

Explore the role of ideology in the conflict between anarchy and the state, featuring finite consumer populations and agencies. This theoretical model examines combat dynamics and defensive equilibriums, shedding light on the dynamics of power and resistance. Discover the complexities of agency interactions in a world where ideology shapes outcomes and decisions.

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The Neglected Ideology: Anarchy Versus the State

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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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