Saddle Point

Chapter 5 · Different Models of One Game

Vladimir A. Lefebvre

1936 – 2020

The problem on the desk

How can a model represent a person’s image of themselves, and that image’s own perspective? Lefebvre described beginning with nested drawings of people, then replacing the drawings with algebraic expressions to make the structure explicit.1

A life in moments

  1. 1936

    Leningrad

    Born on 22 September.2

  2. 1967

    Moscow

    Published Conflicting Structures.3

  3. 1968

    Moscow State University · Moscow

    Completed mathematical studies, presenting his published book as the diploma work.4

  4. 1971

    Moscow State University · Moscow

    Completed a candidate degree in psychology.5

  5. 1974

    University of California, Irvine · Irvine

    Began work at Irvine.6

  6. 2020

    Died on 9 April.6

Every line rests on a dated source (numbered below) unless it carries a mark: R for an inference, S for a story as told.

In their own words

I began by constructing models with little people.

Начал я с построения моделей с человечками.

The Cosmism of Lefebvre’s Reflection: a conversation with V. A. Lefebvre, 2013; translation ours1

A story

Drawing the observer inside the drawing

Lefebvre recalled drawing a person, a second person inside the first person’s head, and another inside that image. Replacing these nested pictures with algebra was his route toward a formal representation of self-awareness.7

Around Lefebvre

  • co-author Georgy Smolyan Co-authored Algebra of Conflict in 1968.8

The genealogy lists only what the database records; a missing name is not a missing teacher.

Two desks

Lefebvre and Harsanyi Representing beliefs about other participants. The same problem from two desks →

The card in the book

Trained in mathematics at Moscow State University, where he took a candidate's degree in psychology in 1971; from 1974 he worked at the University of California, Irvine. He developed mathematical models of reflexive processes — decision-makers holding explicit models of each other's models — introduced the concept of reflexive control, steering an opponent by shaping the model it holds, and later built a formal model of ethical systems and conscience.

Main works Conflicting Structures (in Russian, 1967; 2nd ed. 1973); “The basic ideas of reflexive game logic” (in Russian, 1965); Algebra of Conscience (1982).

To read further

Sources (8)
  1. The Cosmism of Lefebvre’s Reflection: a conversation with V. A. Lefebvre, Vadim A. Petrovsky; interviewee Vladimir A. Lefebvre, 2013; p. 8, first answer
  2. Gaudí in psychology: Vadim Petrovsky on Vladimir Lefebvre, Vadim A. Petrovsky; Psychological Newspaper, 2020; 22 September; opening birth and death paragraph
  3. Vladimir Aleksandrovich Lefebvre, Psychological Newspaper, professional biographical directory; Main publications
  4. Vladimir Aleksandrovich Lefebvre, Psychological Newspaper, professional biographical directory; First educational paragraph
  5. Vladimir Lefebvre: faculty profile, University of California, Irvine, 2004; Degree and Researcher, Cognitive Sciences; last updated 18 October 2004
  6. Vladimir Aleksandrovich Lefebvre, Psychological Newspaper, professional biographical directory; Dated biographical paragraphs and list of publications
  7. The Cosmism of Lefebvre’s Reflection: a conversation with V. A. Lefebvre, Vadim A. Petrovsky; interviewee Vladimir A. Lefebvre, 2013; p. 8
  8. The Cosmism of Lefebvre’s Reflection: a conversation with V. A. Lefebvre, Vadim A. Petrovsky; interviewee Vladimir A. Lefebvre, 2013; p. 7, footnote 2

The facts on this page were gathered for the site from the sources listed, each checked against its locator; the book's card is reproduced unchanged.