von Neumann–Morgenstern utility theorem
                        
                            GPTKB entity
                        
                    
                Statements (22)
| Predicate | Object | 
|---|---|
| gptkbp:instanceOf | 
                                    
                                        
                                            gptkb:mathematical_concept
                                        
                                         | 
                            
| gptkbp:field | 
                                    
                                        
                                            
                                            decision theory
                                        
                                        
                                         economics game theory  | 
                            
| gptkbp:hasAxiom | 
                                    
                                        
                                            
                                            completeness
                                        
                                        
                                         continuity independence transitivity  | 
                            
| gptkbp:implies | 
                                    
                                        
                                            
                                            existence of expected utility function
                                        
                                        
                                         | 
                            
| gptkbp:namedAfter | 
                                    
                                        
                                            gptkb:John_von_Neumann
                                        
                                         gptkb:Oskar_Morgenstern  | 
                            
| gptkbp:publicationYear | 
                                    
                                        
                                            
                                            1944
                                        
                                        
                                         | 
                            
| gptkbp:publishedIn | 
                                    
                                        
                                            gptkb:Theory_of_Games_and_Economic_Behavior
                                        
                                         | 
                            
| gptkbp:state | 
                                    
                                        
                                            
                                            If an agent's preferences over lotteries satisfy certain axioms, then there exists a utility function representing those preferences.
                                        
                                        
                                         | 
                            
| gptkbp:usedIn | 
                                    
                                        
                                            
                                            game theory
                                        
                                        
                                         risk analysis expected utility theory microeconomics rational choice theory  | 
                            
| gptkbp:bfsParent | 
                                    
                                        
                                            gptkb:Savage_axioms
                                        
                                         | 
                            
| gptkbp:bfsLayer | 
                                    
                                        
                                            
                                            8
                                        
                                        
                                         | 
                            
| https://www.w3.org/2000/01/rdf-schema#label | 
                                    
                                        
                                            
                                            von Neumann–Morgenstern utility theorem
                                        
                                        
                                         |