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Cowles Foundation Discussion Papers

2001

Signalling

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Full-Text Articles in Social and Behavioral Sciences

Competitive Pooling: Rothschild-Stiglitz Reconsidered, Pradeep Dubey, John Geanakoplos Dec 2001

Competitive Pooling: Rothschild-Stiglitz Reconsidered, Pradeep Dubey, John Geanakoplos

Cowles Foundation Discussion Papers

We build a model of competitive pooling, which incorporates adverse selection and signalling into general equilibrium. Pools are characterized by their quantity limits on contributions. Households signal their reliability by choosing which pool to join. In equilibrium, pools with lower quantity limits sell for a higher price, even though each household’s deliveries are the same at all pools. The Rothschild-Stiglitz model of insurance is included as a special case. We show that by recasting their hybrid oligopolistic-competitive story into our perfectly competitive framework, their separating equilibrium always exists (even when they say it doesn’t) and is unique.


Competitive Pooling: Rothschild-Stiglitz Reconsidered, Pradeep Dubey, John Geanakoplos Dec 2001

Competitive Pooling: Rothschild-Stiglitz Reconsidered, Pradeep Dubey, John Geanakoplos

Cowles Foundation Discussion Papers

We build a model of competitive pooling, which incorporates adverse selection and signalling into general equilibrium. Pools are characterized by their quantity limits on contributions. Households signal their reliability by choosing which pool to join. In equilibrium, pools with lower quantity limits sell for a higher price, even though each household’s deliveries are the same at all pools. The Rothschild-Stiglitz model of insurance is included as a special case. We show that by recasting their hybrid oligopolistic-competitive story into our perfectly competitive framework, their separating equilibrium always exists (even when they say it doesn’t) and is unique.


Competitive Pooling: Rothschild-Stiglitz Reconsidered, Pradeep Dubey, John Geanakoplos Dec 2001

Competitive Pooling: Rothschild-Stiglitz Reconsidered, Pradeep Dubey, John Geanakoplos

Cowles Foundation Discussion Papers

We build a model of competitive pooling, which incorporates adverse selection and signalling into general equilibrium. Pools are characterized by their quantity limits on contributions. Households signal their reliability by choosing which pool to join. In equilibrium, pools with lower quantity limits sell for a higher price, even though each household’s deliveries are the same at all pools. The Rothschild-Stiglitz model of insurance is included as a special case. We show that by recasting their hybrid oligopolistic-competitive story in our perfectly competitive framework, their separating equilibrium always exists (even when they say it doesn’t) and is unique.


Insurance Contracts Designed By Competitive Pooling, Pradeep Dubey, John Geanakoplos Aug 2001

Insurance Contracts Designed By Competitive Pooling, Pradeep Dubey, John Geanakoplos

Cowles Foundation Discussion Papers

We build a model of competitive pooling and show how insurance contracts emerge in equilibrium, designed by the invisible hand of perfect competition. When pools are exclusive, we obtain a unique separating equilibrium. When pools are not exclusive but seniority is recognized, we obtain a different unique equilibrium: the pivotal primary-secondary equilibrium. Here reliable and unreliable households take out a common primary insurance up to its maximum limit, and then unreliable households take out further secondary insurance.


Signalling And Default: Rothschild-Stiglitz Reconsidered, Pradeep Dubey, John Geanakoplos May 2001

Signalling And Default: Rothschild-Stiglitz Reconsidered, Pradeep Dubey, John Geanakoplos

Cowles Foundation Discussion Papers

In our previous paper we built a general equilibrium model of default and punishment in which equilibrium always exists and endogenously determines asset promises, penalties, and sales constraints. In this paper we interpret the endogenous sales constraints as equilibrium signals. By specializing the default penalties and imposing an exclusivity constraint on asset sales, we obtain a perfectly competitive version of the Rothschild-Stiglitz model of insurance. In our model their separating equilibrium always exists even when they say it doesn’t.