On Games and Equilibria with Coherent Lower Expectations
| Autor: | Maria Romaniello, Giuseppe De Marco |
|---|---|
| Přispěvatelé: | De Marco, Giuseppe, Romaniello, Maria |
| Jazyk: | angličtina |
| Rok vydání: | 2015 |
| Předmět: |
TheoryofComputation_MISCELLANEOUS
Sequential equilibrium Mathematical optimization Computer Science::Computer Science and Game Theory Article Subject General Mathematics coherent expectations Task (project management) Consistency (negotiation) Engineering (all) Order (exchange) Mathematics (all) imprecise probabilities Set (psychology) Mathematics Equilibrium point lcsh:Mathematics General Engineering TheoryofComputation_GENERAL lcsh:QA1-939 equilibria Strategic form games equilibria imprecise probabilities coherent expectations Equilibrium selection lcsh:TA1-2040 Strategic form games lcsh:Engineering (General). Civil engineering (General) Random variable Mathematical economics |
| Zdroj: | Mathematical Problems in Engineering, Vol 2015 (2015) |
| ISSN: | 1563-5147 |
| Popis: | Different solution concepts for strategic form games have been introduced in order to weaken the consistency assumption that players’ beliefs, about their opponents strategic choices, are correct in equilibrium. The literature has shown that ambiguous beliefs are an appropriate device to deal with this task. In this note, we introduce an equilibrium concept in which players do not know the opponents’ strategies in their entirety but only thecoherent lower expectationsof some random variables that depend on the actual strategies taken by the others. This equilibrium concept generalizes the already existing concept of equilibrium with partially specified probabilities by extending the set of feasible beliefs and allowing for comparative probability judgements. We study the issue of the existence of the equilibrium points in our framework and find sufficient conditions which involve the continuity of coherent lower expectations and a Slater-like condition for the systems of inequalities defining beliefs. |
| Databáze: | OpenAIRE |
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