Sorting equilibrium in a multi-jurisdiction model

Gomberg, Andrei

doi:10.1016/s0022-0531(03)00256-4

Cited by 6 publications

(3 citation statements)

References 16 publications

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“…(For a survey of the mathematical results involved see McLennan [14] and Munkres [15]). Similar ideas have already been used in Caplin and Nalebuff [9] and Gomberg [12].…”

Section: Theorem 1 If Assumptions A1-a2 O1-o3 P1-p3 Are Satisfiedmentioning

confidence: 92%

A model of endogenous political party platforms

Gomberg

Marhuenda²,

Ortuño‐Ortín³

2004

Economic Theory

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Summary. We develop a model of endogenous party platform formation in a multidimensional policy space. Party platforms depend on the composition of the parties' primary electorate. The overall social outcome is taken to be a weighted average of party platforms and individuals vote strategically. Equilibrium is defined to obtain when no group of voters can shift the social outcome in its favor by deviating and the party platforms are consistent with their electorate. We provide sufficient conditions for existence of equilibria.

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“…(For a survey of the mathematical results involved see McLennan [14] and Munkres [15]). Similar ideas have already been used in Caplin and Nalebuff [9] and Gomberg [12].…”

Section: Theorem 1 If Assumptions A1-a2 O1-o3 P1-p3 Are Satisfiedmentioning

confidence: 92%

A model of endogenous political party platforms

Gomberg

Marhuenda²,

Ortuño‐Ortín³

2004

Economic Theory

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“…They show that existence of overall equilibrium with distinct platforms ("pluralistic equilibrium") in the two-party case depends on the odd-even dimensionality of the policy space. This result follows from the theoretical development of Caplin and Nalebuff (1997) and Gomberg (2004), which showed that conditions necessary to ensure existence of pluralistic equilibria in twojurisdiction (including two-party) models are sensitive to the parity of policy space dimension. The apparently paradoxical result is somewhat clarified by the example in Gomberg (2005), which suggests a more complex interaction between the number of parties and the dimensionality of the policy space.…”

Section: Introductionmentioning

confidence: 89%

Endogenous platforms: the case of many parties

2006

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We analyze existence of equilibrium in a one-dimensional model of endogenous party platforms and more than two parties. The platforms proposed by parties depend on their membership composition. The policy implemented is a function of the different proposals and the vote distribution among such proposals. It is shown that if voters are sincere there is always an equilibrium regardless of the number of parties. In the case of strategic voting behavior, existence of equilibrium can be shown provided a subadditivity condition on the outcome function holds.

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“…to achieve a deeper understanding of the topological properties of the partition space . So far, such results are available only for the two-community case (see Gomberg 2004).…”

Section: Conclusion and Further Researchmentioning

confidence: 99%

An Example of Nonexistence of Three‐Community Equilibrium

Gomberg

2005

J Public Economic Theory

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In this paper I provide an example of sorting equilibrium nonexistence in a three-community model of the type introduced in Caplin and Nalebuff (1997; Journal of Economic Theory 72, 306-342). With two communities, such an example has been shown to exist only when the dimension of the policy space is even. It turns out, however, that with three communities existence may fail regardless of whether the policy space dimension is odd or even. This suggests that the original odd/even dichotomy can, at least in part, be explained by the evenness of the number of communities. Copyright 2005 Blackwell Publishing Inc..

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Sorting equilibrium in a multi-jurisdiction model

Cited by 6 publications

References 16 publications

A model of endogenous political party platforms

A model of endogenous political party platforms

Endogenous platforms: the case of many parties

An Example of Nonexistence of Three‐Community Equilibrium

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