2008
DOI: 10.1017/s0515036100015245
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Pareto Optimality and Equilibrium in an Insurance Market

Abstract: The concept of economic equilibrium under uncertainty is applied to a model of insurance market where, in distinction to the classic Borch’s model of a reinsurance market, risk exchanges are allowed between the insurer and each insured only, not among insureds themselves. Conditions characterizing an equilibrium are found. A variant of the conditions, based on the Pareto optimality notion and involving risk aversion functions of the agents, is derived. An existence theorem is proved. Computation of the market … Show more

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Cited by 2 publications
(2 citation statements)
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“…Subsequent studies solved the problem by considering a mixed strategy [7], introducing an equilibrium concept different from the Nash equilibrium [8,9], extending the dynamic structure of the game, introducing amendments to insurance company or contractual characteristics [10][11][12][13]. In addition, the existence of equilibrium from multiple perspectives was discussed [14][15][16][17]. e above literature lacks an explicitly dynamic model that describes how insurers adjust their policies over time, although many of the proposed equilibrium concepts are motivated by dynamic interpretations.…”
Section: Equilibrium In the Insurance Market Rothschild Andmentioning
confidence: 99%
See 1 more Smart Citation
“…Subsequent studies solved the problem by considering a mixed strategy [7], introducing an equilibrium concept different from the Nash equilibrium [8,9], extending the dynamic structure of the game, introducing amendments to insurance company or contractual characteristics [10][11][12][13]. In addition, the existence of equilibrium from multiple perspectives was discussed [14][15][16][17]. e above literature lacks an explicitly dynamic model that describes how insurers adjust their policies over time, although many of the proposed equilibrium concepts are motivated by dynamic interpretations.…”
Section: Equilibrium In the Insurance Market Rothschild Andmentioning
confidence: 99%
“…e evolution equilibrium of the construction industry PLI market can be described by a first-order differential equation set composed of equations (16) and 18as follows:…”
Section: Advances In Civil Engineeringmentioning
confidence: 99%