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By U. Resnick

This ebook presents a entire research of uneven territorial clash combining online game thought, statistical empirical research and historiographic research. utilizing the Israeli-Palestine clash as a case research, it checks the version on a database of just about 400 territorial conflicts.

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4) = 0, the weak player prefers suffering these early losses to immediate and permanent capitulation. Solving this inequality for t gives us an expression for the weak player’s endurance for the division θ in terms of his preferences in the land and in force (uw (θ) and φ) and his patience (λw ). Designating the weak player’s ‘endurance function’ for territorial division θ by ξ w (θ), we obtain the following correspondence (see the appendix, page 215, for the derivation): ⎧ ⎨ ξ w (θ) = max t t < t∈N ⎩ φ ln u (θ)+φ w ln (λw ) ⎫ ⎬ ⎭ .

That is: lim θˆ (λs , λw ) → θμ . 1 The division θˆ is increasing in λs and decreasing in λw . The more patient a player is, the larger his share in the outcome. 2 The division θˆ is decreasing in uw (·). Similarly, θˆ is increasing in us ( · ). The more highly a player values the land, the larger his share in the outcome. In other words, if uw ≥ u˜ w (that is, uw (θ) ≥ u˜ w (θ), ∀θ), ˆ w ) ≤ θ( ˆ u˜ w ). 12 There is some subtlety to the second point. The claim is that the more utility a player derives from each marginal unit of land, the larger his share of land.

By invoking such a threat, the weak player creates a situation in which the strong player’s best reply is to make the suitable concession immediately and permanently. Unlike in the case of stationary strategies, however, the weak player is now able to make his decision regarding force contingent on what is played in previous stages. 9 If the demanded concession is made, such a strategy may avoid the actual use of force. Consequently, such a strategy can indeed be a best reply against the strong player’s ‘concession-making strategy’, whilst not undermining the considerations that made the latter strategy itself a best reply.

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